Someone please help!!

Someone Please Help!!

Answers

Answer 1

Answer:

I believe the answer would be option D

Step-by-step explanation:

the distance formula is

[tex] \sqrt{(x - x1)^{2} + (y - y1)^{2} } [/tex]

So, substituting the values of the coordinates, you will get the answer of D


Related Questions

Find the x-intercept of the rational function.

A (-5,0)
B (0,-5)
C (0, -1)
D (-1, 0)

Answers

Answer:

(-5,0)

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses the x axis where x = -5

The y value is 0

(-5,0)

Answer:

A  

Step-by-step explanation:

The x -intercept is 'shorthand' for  x - AXIS intercept

  where the graph crosses the x - axis

      this will always have a   ZERO  value for the 'y'- coordinate

looking at the graph this point is   -5,0

Find y.
Help me please:))​

Answers

Answer:

y = 47

Step-by-step explanation:

All of the angles in a triangle must add up to 180. The angle marked 3y can help us find the missing angle of the triangle: 180-3y
Then you can make an equation to help solve for y:
50 + (2y-3) + (180-3y) = 180
Combine like terms:
227-y=180
y = 47

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y=47 \degree[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \:(2y - 3) + 50 = 3y[/tex]

[tex]\qquad \tt \rightarrow \:2y - 3 + 50 - 3y = 0[/tex]

[tex]\qquad \tt \rightarrow \:2y - 3y + 47 = 0[/tex]

[tex]\qquad \tt \rightarrow \: - y = - 47[/tex]

[tex]\qquad \tt \rightarrow \:y = 47 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the slope of the line that passes through the points (8,-8) and (5,-1)?

Answers

Hey there!

Answer :

[tex] \sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}} [/tex]

[tex] \\ [/tex]

Explanation :

We are given the points [tex] \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} [/tex] . To find the slope [tex] \sf{\purple{m}} [/tex] of such a line, we use the slope formula which is the following:

[tex] \sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}} [/tex]

[tex] \\ [/tex]

⇢Now, by plugging in our values, we get :

[tex] \sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}[/tex]

Therefore, the slope of the line is [tex] \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}} [/tex]

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What is the slope of a linear function that goes through (8,-8) and (5,-1)?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].

We utilise that formula because we have two points as our given information.

So, we

put in the values

[tex]\bf{\dfrac{-1-(-8)}{5-8}}[/tex] | subtract on top and bottom

[tex]\bf{\dfrac{-1+8}{-3}}[/tex] | simplify

[tex]\bf{\dfrac{7}{-3}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                [tex]\bf{=Slope=-\dfrac{7}{3}}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta l}}[/tex]

What is the volume of the sphere shown below?
O A. π units3
676
3
8788
3
C. 52 units 3
OD. 104 units3
B.
π units³
-13-

Answers

Answer:

B

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

here r = 13 , then

V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³

The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

the volume (V) of a sphere is calculated as

V = 4/3 πr³ ( r is the radius )

now, we have,

from the given figure, we get,

here r = 13 , then

V =  4/3* π × 13³

= 4/3* π × 2197

= 8788/3 * π units³

Hence, The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

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Plssss help will give brainliest!!!

Answers

2. 3 is not a function

3. 4 is a function

To be a function it has to pass the vertical line test, meaning the x value can not repeat. So for this problem, you need to look at the ordered pair (x,y). For problem 2, answer 3 is not a function because the x value of 1 appears twice. For problem 3, answer 4 is a function because there aren't any x values being repeated.

what is the degree for the polynomial below ?
2x^(2)+3x + 1

Answers

Answer:

The exponent is 2, so the degree is 2

Select the correct answer from each drop-down menu.
Consider this equation.
- 1-5 = x - 8
The equation has
and
.A valid solution for x is

Answers

Answer:

-1-5=x-8

or, -1-5+8=x

or, x= -1-5+8

or, x= -6+8

or, x=2

therefore, x=2

simplify the ratio 42:63 ​

Answers

Answer: 2:3

Step-by-step explanation:

common factor of 42 and 63: 21

42/21= 2

63/21= 3

find the common factor to find the ratio!

therefore the ratio is 2:3

Answer: 2:3

When you divide these two numbers 42 and 63 the smallest possible form they can give is two and three.

Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29

Answers

The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.

The complete question is given below:-

liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.

If she cubed the number of the plants will be:-

Now she added two vegetable plants:- 2

Then the equation will be: - p³ + 2. Now we will put the value of p = 3 in the equation.

Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29

Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.

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how to graph y = 2|x + 3| - 4

Answers

The x-intercepts and the y-intercepts of the function is that determines the graph is:

x-intercepts = (-5,0) and (-1,0)y-intercepts = (0,2)

How do we graph the function y = f(x) of an absolute equation?

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

x-intercepts = (-5,0) and (-1,0)y-intercepts = (0,2)

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

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Help with math work

Answers

Answers for different section are given below;

What is Function?

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

   f(x) = -x² - 4x + 6

1.    If we take -1 common from the given function, we get

                      f(x) = -1 (x² + 4x - 6)

                      f(x) = -1 (x² + 4x) + 6

      Thus, first block contains -1 and second block contains 4.

     

2.   Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

                 f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

                 f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

                 f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

Answer:

x < 3

Step-by-step explanation:

The last step is to divide by -2. When you divide by a negative number you must reverse (flip) the inequality symbol.

-6 < -2x

-6/-2 > -2x/-2

3 > x

This is the same as

x < 3 (see the pointy side pointing at the x and the wide open side facing the 3)

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is

Answers

The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.

We have given that,

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.

What is the coordinate?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)

Therefore we get,

2 the answer is 2/1 but just write 2.

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Write the equation of the circle graphed below.

Answers

Step-by-step explanation:

eq of a circle is

(x-h)^2+(y-k)^2=r^2

h is 0

k=3

r is 1.5 this is radius of the circle

x^2+(y-3)^2=1.5^2

Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to StartFraction 7 over 25 EndFraction. She writes the equation y = x + StartFraction 7 over 25 EndFraction. What error is Roni making?
She should have written y = negative x + StartFraction 7 over 25 EndFraction so that x and y have a constant sum.
She should have written x y = StartFraction 7 over 25 EndFraction so that x and y have a constant product.
She should have written y = StartFraction 7 over 25 EndFraction x so that x and y have a constant quotient.
She should have written y = StartFraction 7 over 25 EndFraction so that y has a constant value.

Answers

Answer:

y = 7/25x

Step-by-step explanation:

For a proportional relationship, we have

y ∞ x.

Let k = constant of proportionality = 7/25

Removing the proportionality sign, we have

y = k x

Therefore, the answer is  

y = 7/25x

Instead of y= x + 7/25

So, the error is that x should be multiplied by 7/25 and not added.

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What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4

Answers

The value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

We have an expression given as:-

(5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.

The mathematical properties we knew

[tex]x^mx^n = x^{m+n}[/tex]

[tex]x^m[/tex]÷[tex]x^n=x^{m-n}[/tex]

So the expressions will be written as:-

(5. 6 . a². a[tex].^k[/tex] .b³ .b =  30a⁶b⁴.

30 ( [tex]a^{2+k}[/tex])([tex]b^{3+1}[/tex]) =  30a⁶b⁴.

Comparing the terms we will get:-

[tex]a^{2+k}[/tex] = a⁶

2 + k = 6

k = 6 - 4

k = 4

Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.

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HELPPPP PLEASEE DUEE SOONNN

Answers

(A) n=w by the corresponding angles theorem.

(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary, and are not always equal.

(C) n=z by the alternate exterior angles theorem.

(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.

(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.

Which of the following is the correct order of the polynomial
2y5+y+3y7-4y³ +12?

Answers

Answer:

3y⁷ + 2y⁵ - 4y³ + y + 12

Step-by-step explanation:

2y⁵ + y + 3y⁷ - 4y³ + 12

(greatest - least powers)

I hope this helps!

If we can preach that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals.(check image)

Answers

Answer:

Prob Online

Step-by-step explanation:

Can't really think of one

If students sit 3 per bench, we are short 3 benches. If they sit 5 per bench,
2 benches are left empty, and one bench only has 4 students. How many
benches are there?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. There are a total of 10 benches in the class.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the total number of benches be represented by x. If students sit 3 per bench, we are short 3 benches. Therefore, the total number of students can be written as,

Total number of students = 3x + 9

If they sit 5 per bench, 2 benches are left empty, and one bench only has 4 students.

Total number of students = 5(x-1) - 10 +4

Now, the total number of students can be written as,

3x + 9 = 5(x-1) - 10 +4

3x + 9 = 5x - 11

20 = 2x

x = 10

Hence, there are a total of 10 benches in the class.

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PLEASE HELP ME I'LL MARK U AS BRAINLIEST IF U GIVE ME THE RIGHT ANSWERS + GOT QUESTION A RIGHT JUST NEED QUESTION B AND C'S ANSWER

Answers

answer for b

catch the 9:10 bus from Beasley.

answer for c

10:06

hope this might help u.

Answer:

Answer for B is 9:10 for Beasley and The answer for C is 10:06

Step-by-step explanation:

The two right-angled triangles below are
similar, which means that they have the
same angles.
a) Write down the value of sin as a
fraction in its simplest form.
b) Work out the length x.
8 cm
3 cm
16 cm
X
Not drawn accurately

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \tt{sin(\Theta) = \cfrac{3}{8}} [/tex]

[tex]\qquad \tt \rightarrow \: x = 6\:\: cm[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \sin( Theta) = \cfrac{Opposite \:\: side}{Hypotenuse}[/tex]

[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} [/tex]

since the Triangles are similar, ratio of their corresponding sides are equal :

[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} = \dfrac{x}{16} [/tex]

[tex]\qquad \tt \rightarrow \:x = 16 \sdot \cfrac{3}{8}[/tex]

[tex]\qquad \tt \rightarrow \: x = 2 \sdot3[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \: \: cm[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Since  the two right-angled triangles have the same angles, the values are; ai. sin θ= 3/8ii. sin θ= x/16b. x = 6cm

How to determine the value

Using the sine trigonometric identity expressed as;

sin θ = opposite/hypotenuse

Then, we have that for the first triangle;

sin θ= 3/8

For the bigger triangle;

sin θ= x/16b.

Then, since we have that the sine identity is;

sin θ= x/16

But sin θ= 3/8

Divide the values and find the sine inverse in

θ= 0. 375θ = 22. 0 degrees

x = 0. 375 (16)

Multiply

x = 6 cm

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Mike has 63 toys. 18 of them are new and 12 are his favorites, while 4 are new and favorites. Mike is giving away all the toys that are neither new nor favorites. How many toys does mike have? ASAp

Answers

Answer:34

Step-by-step explanation:

Giving away all that is not new or fav so 12 fav + 18 new + 4 which are new an favorite = 34

Answer:

22

Step-by-step explanation:

63 is the total

14 are new

8 are fav

14+8=22

please help asappp!!!

Answers

Answer:

0

y = 2

Step-by-step explanation:

Since it's a flat line, the slope is 0.

Since all of the points have a y-value of 2, the equation is y = 2.

Answer:

Slope = 0

Equation: y = 2

Step-by-step explanation:

PQ is parallel  to x-axis. Slope of the line parallel to x-axis = 0.

Slope of diagonal PQ = 0

Equation of line parallel to x-axis : y = a

Equation of diagonal PQ: y = 2  or y -2 = 0

Point p has coordinates (-4,-2) and point q has coordinates (4,3) calculate the shortest distance between P and Q. Give your answer to 1 decimal place

Answers

Answer:

distance = 9.4 units

Step-by-step explanation:

* using the distance formula *

d =

[tex] \sqrt{(x2 - x1 )^{2} + (y2 - y1)^{2} } [/tex]

[tex] \sqrt{( - 4 - 4) ^{2} + ( - 2 - 3) ^{2} } [/tex]

= 9.4 units

a hyperbola centered at the origin has vertices PLEASE HELP QUICK

Answers

The equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Given, that a hyperbola centred at the origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0)

What is hyperbola?

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

The formula for a hyperbola centred at the origin is [tex]\frac{x^2}{a^2} -\frac{y^2}{b^2 } =1[/tex]

The vertices are located at (±a, 0), so we have that the value of a is [tex]\sqrt{61}[/tex].

The foci are located at (±c, 0), where [tex]c^2 = a^2 + b^2[/tex].

So if we have that [tex]c = \sqrt{98}[/tex], we can find the value of b:

[tex]98 = 61 + b^2[/tex]

⇒ [tex]b^2 = 37[/tex]

⇒ [tex]b = \sqrt{37}[/tex]

So, the formula for this hyperbola is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Therefore, the equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

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Which four inequalities can be used to find the solution to this absolute value inequality?

Answers

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the inequality:

3 ≤ |x + 2| ≤ 6

Hence:

x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)

This gives:

x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

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What is the measure of angle CED?

There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees

y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE

Answers

The measure of angle CED is y. The correct option is the second option-   y, because Triangle ABC is similar to triangle EDC

Similar triangles

From the question, we are to determine the measure of angle CED

In the diagram, we can observe that ΔABC is similar to ΔEDC

This is by the Angle-Angle similarity theorem

The theorem states that

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other

Thus,

Angle CAB = Angle CED

In the diagram,

Angle CAB = y

∴ Angle CED = y

Hence, the measure of angle CED is y. The correct option is the second option-   y, because Triangle ABC is similar to triangle EDC

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In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.

s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s

Answers

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

How to determine the arc length?

See attachment for the complete question

From the complete question, we have:

Θ represents the central angler represents the circle radius

The angle is given in radians.

So, the arc length is calculated using

Arc length = Angle * Radius

Substitute known values

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

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Answer:

A

Step-by-step explanation:

On Edge

please help me with my math

Answers

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve for y and z ~

[tex]\qquad \sf  \dashrightarrow \: z + 61 = 180[/tex]

[ Co- interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: z = 180 - 61[/tex]

[tex]\qquad \sf  \dashrightarrow \: z = 119 \degree[/tex]

now,

[tex]\qquad \sf  \dashrightarrow \: 5y + 14 = 119[/tex]

[ by Alternate interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: 5y = 119 - 14[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5y = 105[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = 21 °[/tex]

Other Questions
(X^2-16)/(x^2)-x-12I know the answer is x+4/x+3but i don't understand how x^2 -x - 12 simplifies into (x+3) (x-4) During which phase of the cell is a cells DNA copied The table below shows the results of a screening program organized by Level 300 students of the department physiotherapy of the College Health Sciences of the University of Ghana. Complete the table and answer the questions below it using your understanding of probability and its applications to biomedical data. True Diagnosis for presence of E. ColiTest results Disease No Disease TotalPositive 35 15 Negative 10 60 Total a. What is the efficiency of the test? 3 marksb. What is the sensitivity of the screening kit? 3 marksc. What is the specificity of the screening kit? 3 marksd. What is the predictive value (PPV) of the test? 3 markse. What is the negative predictive value (NPV) of the test? 3 marks (15 marks)2. In double blinded randomized control trial for hypertensive patients attending Cocoa Clinic, thirty (30) 50-59-year-old were admitted into an intervention program for 6 weeks. During the trial, the average improvement in their systolic blood pressure was 15. The average improvement in systolic blood pressure in the general population of hypertensive patients is 20 with a standard deviation of 2. i. What are the null and alternative hypotheses in this RCT? (2 marks)ii. What tail is required in this test? (2 marks)iii. What is the most appropriate statistical test for this study? (2 marks)iv. State the assumptions of the test. (2 marks)v. Test the above hypothesis using the appropriate statistical tool (7 marks)Critical value =3.6 A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.Which inference can be drawn about the buying pattern of the online customers versus that of the walk-in customers? Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 1 pack. Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 2 packs. Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs. Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 1 pack. The equation of a line is -2x+5y = -20Whats the x-intercept of the line? ii. Earth's stratosphere Type the correct answer in the box. Spell all words correctly. Photographers can compress files in different formats. One of the formats ensures that the quality and details of the image are not lost when the photographer saves the file. Which file format is this? The file format ensures that images dont lose their quality and details when photographers save them. how can premenstrual syndrome affect women Can anyone solve? Thank you Although the supreme court had ordered an end to segregated public schools in 1954, many schools remained segregated in the early 1970s because Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check? 3x and x 1/4 and 0.5 -m and 8m -xy2 and 2xy2 y and y2 4xy and -5x2y m and n -7 and 6 Can i use a 1000mAh battery instead of 600mAh Battery?please tell me quickly The Maori are the indigenous people of ______ and the Aborigines are the indigenous people of _______. I need hard and easy math questions with the answer, i need 10 questionsthnx What was one military strategy the Patriots often used against the British inthe Revolutionary War? A. Invading British territories in Europe and the Caribbean B. Convincing American Indians to attack British bases C. Using ships to outnumber and defeat the British navy D. Launching surprise attacks against British armies What claim does the author make in this paragraph? Losing that 2 percent in revenues hasnt harmed the Joslyn museums finances since there has been an increase in visitorsIve seen a lot of people who havent been through the doors here in 20 years, if ever, because they couldnt afford to come, Becker saidwho are eating at the museums caf and making purchases at its gift shop. The earned income more than offsets the loss in admissions. Group of answer choices what is the price of a $90 mobile phone after a 30% discount h = 3 + 31t - 161 Find all values of t for which the ball's height is 17 feet . make a beautiful poster on natural scenery in hindi Sunil draws a regular hexagon and a convex quadrilateral on a sheet of paper, so that no side of the quadrilateral lies on the same line as a side of the hexagon. what is the maximum total number of points in which the sides of the quadrilateral can intersect the sides of the hexagon?