find the slope of the line on the graph write your answer as a whole number or a fraction not a mixed number or decimal

The measure of the third angle in the ΔABC is 70 degrees

In ΔABC, m∠2 = 70 and m∠1 = 40, find the measure of all third angle of ΔABC.

The given parameters are:

m∠2 = 70

m∠1 = 40

The sum of angles in a triangle is:

m∠1 + m∠2 + m∠3 = 180

So, we have:

70 + 40 + m∠3 = 180

Subtract 110 from both sides

m∠3 = 70

Hence, the measure of the third angle in the ΔABC is 70 degrees

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Answer:

150 ounces

Step-by-step explanation:

Answer: (1,4) and (1,3) because the have the same x-value

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

The reason is using point slope formula.

The photo attached given below:

The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form.

Now, we have to find the slope of AE, BF and CD.

We have to done this with help of coordinates.

So, we have to use point slope formula to find the slope of AE, BF and CD.

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Answer:

1-irrational 2-rational 3-rational 4-rational 5-irrational

Step-by-step explanation:

The equation of the line is y = 3x +3 .

A straight line equation is that can be represented by y = mx +c , where m is the slope and c is the intercept on y axis.

The points given are (2,3) and (5,9)

m = (9-3)/(5-2) = 3

m = 3

Therefore the equation becomes

y = 3x +c

Te equation is given by

(y-y₁) = m(x-x₁)

y-3 = 3(x - 2)

y-3 = 3x -6

y = 3x +3

Therefore the equation of the line is y = 3x +3 .

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Answer:

False

Step-by-step explanation:

P is not necessarily on the angle bisector of angle A.

Attached is an example of a carefully constructed shape (so that it's easy to see the measurements):

Visually, point P is not on the angle bisector of angle A.

While having two adjacent congruent segments is necessary for P to be on the bisector of angle A, it is not sufficient.  The segments on the rays from A to the end of those segments would also need to be a pair of congruent adjacent sides (forming a kite).  For a kite, the diagonal from the point between one pair of adjacent congruent sides to the point between the other pair of adjacent congruent sides does form an angle bisector with both angles.

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

               = P(z<1.5) - P(-0.5<z)

               = 0.9332 - 0.3085

               = 0.6247

               = 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

          = 1-0.0062

          = 0.9938

          = 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

           = P(z<-1)
           = 0.1587

           = 15.87%

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The sum of the function will be (r – s)(x) = –2x² + x – 3, The difference of the function will be (r – s)(x) = –2x² + x – 3, and The product of the function will be (r × s)(x) = 2x³ – 6x².

The complete question is attached below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The functions are given below.

r(x) = x – 3

s(x) = 2x²

The sum of the function will be

(r + s)(x) = x – 3 + 2x²

(r + s)(x) = 2x² + x – 3

The difference of the function will be

(r – s)(x) = (x – 3) – 2x²

(r – s)(x) = –2x² + x – 3

The product of the function will be

(r × s)(x) = (x – 3) (2x²)

(r × s)(x) = 2x³ – 6x²

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Answer:

x = 99

Step-by-step explanation:

3x + 99x = 12x

12x = 1188 divide 1188 ÷ 12

x = 99

Answer:

[tex]24m + 32[/tex]

Step-by-step explanation:

[tex]8(3m + 4) = 24m + 32[/tex]

By solving through law of cosines the length s can be written as [tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex].

Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.

According to law of cosines a length can be written as [tex]c^{2} =a^{2} +b^{2} -2abcos g[/tex]

where c is the side opposite to the given angle and a and b are other sides , g is the angle given.

[tex]s^{2} =9^{2} +10^{2} -2*9*10cos(100)[/tex]

where s is the length of the side opposite to the angle given, the length of other sides are 9 and 10 where the angle is 100.

Hence the fourth option is correct which is s^{2} =9^{2} +10^{2} -2*9*10cos(100).

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Answer:

its D

Step-by-step explanation: ed 2023

A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.

For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,

[tex]\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17[/tex]

Hence, the value of k must be 17, therefore, the correct option is C.

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The maximum number of turkey sandwiches Ben sold is 6.

Given this equation : 2.50x + 3.50y ≤ $30

If y is 4, take the following steps in order to determine the value of x:

Substitute for y in the above equation:

2.50x + (3.50 x 4) ≤ $30

2.50x + 14 ≤ $30

2.50x ≤ $30 - 14

2.50x ≤ $16

x ≤ 6.4

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Answer:

6

Step-by-step explanation:

Answer:

32. {-4, 1, 2, 12}

33. {2, 6, 9, 31, 65}

34. No

Step-by-step explanation:

32. The domain of a relation is the set that contains all the x-coordinates of all the ordered pairs of the relation.

domain = {-4, 1, 2, 12}

33. The range of a relation is the set that contains all the y-coordinates of all the ordered pairs of the relation.

range = {2, 6, 9, 31, 65}

34. No since the same number, 2, appears twice as an x-coordinate. In a function, no two ordered pairs can have the same x-coordinate.

The equation is:

(x-5)^2+(y-(-7))^2=36

I hope it helps!

Answer:  [tex]\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}[/tex]

=========================================

Work Shown:

[tex](h,k) = (5,-7) = \text{center}\\\\r = 6 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - 5)^2 + (y - (-7))^2 = 6^2\\\\\boldsymbol{(x - 5)^2 + (y + 7)^2 = 36}\\\\[/tex]

The correct answer to this question is Option (4).

Answer:

D.

Step-by-step explanation:

EDG 2022

Answer:

The answer is 3

Step-by-step explanation:

You can see that it recurs faster than usual for a tan curve so 1 is eliminated and it cant be 2 or 4 because it isnt recurring equally.

The next step in the series is choice D.

Answer:

D

Step-by-step explanation:

if we define the diagrams in terms of their rows and columns, then

1st : 2 by 1

2nd : 3 by 2

3rd : 4 by 3

note that the rows and columns both increase by 1

then the next likely diagram is

5 by 4 , that is diagram D

The function that represents the Scooter Company's total profit is given by:

P(x) = -2x² + 250x - 2,000.

The profit function is calculated by the revenue function subtracted by the cost function, hence:

P(x) = R(x) - C(x).

In this problem, we have that:

Hence the profit function is:

P(x) = R(x) - C(x).

P(x) = 400x - 2x² - (150x + 2000).

P(x) = -2x² + 250x - 2,000.

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Answer:

$41269.983

rounded:

$41,269.98

Step-by-step explanation:

well you begin with the equation a=p(1+r/n)[tex]^{nt}[/tex]

so 30,000(1+0.08/12)to the power of 4 times 12

when you plug all of that in a calculator your receive $41269.983

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: [tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]  and ∠DFE is congruent to ∠GFH.The correct answer is option C.

The image of the triangle is attached with the answer below:-

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

    = 12 + 4

DF = 16

Also,

EF = EH + HF

   = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

[tex]\dfrac{DF}{GF}[/tex] = [tex]\dfrac{EF}{HF}[/tex]  

[tex]\dfrac{16}{4}=\dfrac{12}{3}[/tex]

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

[tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]    and ∠DFE is congruent to ∠GFH.

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Answer:

C

Step-by-step explanation:

Edg

Solution:

[tex]\searrow[/tex]

Detailed explanation:

Here we need to find both the circumference and the area of a circle whose diameter is 30 in.

///\\\///\\\///\\\///\\\///\\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\////\\\\///\\\///\\\///\\\///

                                   ⚜  Circumference ⚜

This is the formula that we use for the circumference. [tex]\large\texttt{$C=\pi d$}[/tex].

Here, C is the circumference,

[tex]\pi[/tex] is pi, *

d is the diameter

_____________

* The number pi is an irrational number. This means that no matter how hard we try, we cannot write this number as a fraction. The reason for that is: The number pi has never-ending digits after its decimal point.

To avoid getting never-ending numbers, we will use 3.14 for pi.

_____________

Alright, so now we just stick in the values.

[tex]\boldsymbol{C=3.14\cdot30}[/tex]

[tex]\boldsymbol{C=94.2\:inches}[/tex]

The circumference is successfully calculated.

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\\///\\\///\\\///\\\//\\//\/\/\/\//\///\\//

                                            ⚜ Area ⚜

This is the formula we will use to work out the area.

[tex]---\mapsto\boldsymbol{A=\pi r^2}[/tex]

Here,

A denotes the area

[tex]\pi[/tex] denotes pi

r denotes the radius (30/2=15, because the diameter is always two times the radius)

[tex]\large\boldsymbol{\therefore,\;the\;radius\;is\;15}[/tex]

Once again, it's just a matter of sticking in the values.

[tex]---\mapsto\boldsymbol{A=3.14\cdot15^2}[/tex]

Remember the Order of Operations!

P.E.M.D.A.S.

P=Parentheses

This operation tells us to evaluate all expressions in the parentheses first, if any are present.

E=Exponents

This one tells us to evaluate all expressions with exponents, if any are present.

M=Multiplication | D=Division

Unlike the two operations above, these two are completely interchangeable.

A=Addition | S=Subtraction

Like M and D, A and S are interchangeable.

_________________

Now let's simplify... According to P.E.M.D.A.S., we should square 15 first.

[tex]---\mapsto\boldsymbol{A=3.14\cdot225}[/tex]

Now, we need to multiply.

[tex]---\mapsto\boldsymbol{A=706.5\;square\;inches}[/tex]

H(x) = 4(x - 7)^2 - 19

Hope you find it usefull

Answer:

First option.

Step-by-step explanation:

Answer:6

Step-by-step explanation:at first calculate (-3)^2=9

then 9+2=11

finally the answer is 11-5=6

Answer:

6

Step-by-step explanation:

Given Problem:

[tex]-5+(-3)^2+2[/tex]

Using the PEMDAS order of operation:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Thus, Solving in parentheses first.

[tex]-5+(-3)^2+2[/tex]

[tex](-3)^2=9[/tex]

[tex]-5+9+2=[/tex]

[tex]-5+11=[/tex]

[tex]6[/tex]

Hence, the answer to [tex]-5+(-3)^2+2=6[/tex]

RevyBreeze

Answer:

The coefficient of variation (CV)= 9.83

Step-by-step explanation:

look at the attachment above ☝️

Answer:

300 cupcakes

Step-by-step explanation:

[tex]27 = .09c[/tex]

[tex]c = \frac{27}{.09} = \frac{2700}{9} = 300[/tex]

In total, the bakery sold 300 cupcakes on a certain day.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of cupcakes sold that day.

let, 'x' be the total number of cupcakes sold that day.

Therefore, 9% of 'x' is 27 which is,

(9/100)×x = 27.

0.09x = 27.

x = 27/0.09.

x = 300.

So, The number of cupcakes sold that day is 300.

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The perimeter of the figure above is [tex]43\frac{22}{40} = 43\frac{11}{20}[/tex]

The perimeter of a shape is the sum of the whole sides.

Therefore, perimeter of the figure is the addition of the whole length.

Hence,

perimeter = [tex]14\frac{3}{4}+4\frac{1}{2}+8\frac{1}{2}+10\frac{2}{5}+10\frac{2}{5}+12\frac{4}{5}[/tex]

let's convert to improper fraction for easy calculation.

Hence,

perimeter = [tex]\frac{59}{4}+\frac{9}{2}+\frac{17}{2}+\frac{52}{5}+\frac{52}{5}+\frac{64}{5}[/tex]

perimeter = [tex]\frac{590+180+340+60+60+512}{40} =\frac{1742}{40} = 43\frac{22}{40}[/tex]

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