If APQR = ASTU, complete each blank below with the appropriate length or measure.

If APQR = ASTU, Complete Each Blank Below With The Appropriate Length Or Measure.

Answers

Answer 1

Answer:

ST = 8 m

SU = 7 m

m∠Q = 75°

m∠S = 59°

m∠R = 46°

m∠U = 46°

Step-by-step explanation:

The given parameter are;

ΔPQR is congruent to ΔSTU

In ΔPQR, m∠P = 59°, PR = 8 m, PQ = 7 m

In ΔSTU, m∠T = 75°

By Side-Angle-Side rule of congruence, and given that m∠P ≠ m∠T, we can have;

m∠S ≅ m∠P, by Congruent Parts of Congruent Triangles are Congruent, CPCTC

ST ≅ PR, SU ≅ PQ, m∠Q ≅ m∠T, m∠U ≅ m∠R

Therefore;

ST = PR = 8 m

ST = 8 m

SU = PQ = 7 m

SU = 7 m

m∠Q = m∠T = 75°

m∠Q = 75°

m∠S = m∠P = 59°

m∠S = 59°

m∠U = m∠R = 180 - (75° + 59°) = 46°

m∠R = 46°

m∠U = 46°.


Related Questions

Select the correct answer.
Which is the correct simplified form of the expression ?
A.

B.

C.

D.

Answers

Answer:

it should be letter b sorry if its wrong

the answer should be choice B

Solve
4/√7-1 +2/√7+1

Answers

Answer:

[tex]\frac{4}{\sqrt{7}}-1+\frac{2}{\sqrt{7}}+1[/tex]

[tex]=\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}-1+1[/tex]

[tex]\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}=\frac{6\sqrt{7}}{7}[/tex]

[tex]\frac{6\sqrt{7}}{7}-1+1[/tex]

[tex]-1+1=0[/tex]

[tex]=\frac{6\sqrt{7}}{7}[/tex]

OAmalOHopeO

Answer:

Answer is (6[tex]\sqrt{7}[/tex] +2)/6

Step-by-step explanation:

The question isn't very clear, so I'm gonna assume the denominator is  [tex]\sqrt{7}[/tex]-1 and [tex]\sqrt{7}[/tex]+1

7x-3/4=x what is the process to answer fasttttttt please

Answers

Answer:

x= 1/8 is the correct answer

Answer:

1/8

Step-by-step explanation:

7x-x=3/4

6x=3/4

6x/6=3/4÷6

x=1/8

Please help solve for x

Answers

Answer:

8.49

Step-by-step explanation:

there is a little formula related to the famous formula of Pythagoras.

it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).

so, x is actuality the height of the triangle.

x = sqrt(3×24) = sqrt(72) = 8.49

A map in a particular city shows that a city block to be a rectangle that is 264 feet wide and 900 feet long. If a person was to walk from the top left corner to the lower right corner along the diagonal of the block, they would walk approximately _____. Round your answer to the nearest whole foot. Enter only the number.

Answers

Answer:

1164

Step-by-step explanation:

The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.

Using the formula for the Pythagorean theorem, we can set up the following equation:

c² = a² + b²

where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.

In this case, we can substitute the known values for a, b, and c to get:

c² = 264² + 900²

c² = 69696 + 810000

c² = 879696

c = √879696

c = 937.92110

Rounded to the nearest whole foot.

c = 938 feet

Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

Learn more about Pythagoras's theorem here:

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A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?​

Answers

Answer:

25/72

Step-by-step explanation:

P( blue) = blue / total = 4/12 = 1/3

P ( blue, blue) = 1/3 * 1/3 = 1/9

P ( red) = red / total = 5/12

P ( red, red) = 5/12 * 5/12 = 25/144

P ( green) = green /total = 3/12 =1/4

P ( green , green) = 1/4 * 1/4 = 1/16

Add these together to get

P( same colour twice) = 1/9+ 25/144 + 1/16

                                      =16/144 + 25/144 + 9/144

                                      =50/144

                                     =25/72

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?

Answers

Answer:

The Polynominal is not shown. So how can i answer???

Step-by-step explanation:

Thank You! Hope it helps! Please Mark me brainliest!

Jacob and Mirit decide to race their pet snails. Jacob's snail moves 25 inches per minute, and Mirit's snail travels 28 inches per minute. How far away from Jacob's snail will Mirit's snail be after an hour?

Answers

Answer:

180 inches

Step-by-step explanation:

25 inches per minute

in 1 hour (60 minutes) :

25*60 = 1500

28 inches per minute

in 1 hour (60 minutes) :

28 * 60 = 1680

1680-1500 = 180

Find the value of x for which ABCD must be a parallelogram

a. 1
b. 94
c. 3
d. 47

Answers

The answer for this question is C which is 3

Answer:

c. 3

Step-by-step explanation:

BC||AD so <CBD=<BDA

15x+2=9x+20

15x-9x=20-2

6x=18

x=3

Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?

1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.

A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.​

Answers

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

What two-dimensional cross sections could be obtained from a right rectangular prism?


Select the three correct answers.
Circle
Square
Ellipse
Parabola
Rectangle,
Parallelogram that is not a square or a rectangle

Answers

Answer:

Square

Rectangle

Step-by-step explanation:

not a pro at shapes.

If my savings of $x grows 10% each year, how much will I have in 1 year?

Answers

Answer: $1.1x

Step-by-step explanation:

x = your saving at beginning of year10% = 0.1

At the end of year 1, it will increase by 10%:

[tex]x+0.1x=x(1+0.1)=1.1x[/tex]

Simplify this expression: 4(1 – 26) + 76 – 10.​

Answers

Answer:

-b - 6

Step-by-step explanation:

4(1 - 2b) + 7b - 10

Apply the distributive property:

4(1 - 2b) + 7b - 10

(4)(1) + (4)(−2b) + 7b + (−10)

4 + (−8b) + 7b + (−10)

Combine like terms:

4 + −8b + 7b + −10

(−8b + 7b) + (4 - 10)

-b - 6

Answer:

-b - 6

Step-by-step explanation:

4 (1 - 2b) + 7b - 10

4 - 8b + 7b - 10

-b - 6

One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.

Answers

Answer:

5/27 ft²

Step-by-step explanation:

a = 1/3

b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3

the area of the rectangle is a×b

Ar = 1/3 × 5/9 = 5/27 ft²

(X²-3x-1)²-12(x²-3x-1)+27

Answers

Answer:

Step-by-step explanation:

x^4 - 6x^3 -5x^2 +42x +40

Answer:

Step-by-step explanation:

(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)

= x^4 +9x² +1 -6x³ +6x -2x²

=x^4 - 6x³ + 9x² -2x² + 6x + 1

=x^4 - 6x³ + 7x² + 6x + 1

(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x²  + 36x + 12 + 27

                                      =x^4 - 6x³ + 7x²  - 12x²  + 6x +36x  + 1 + 12 +27

                                      =x^4 - 6x³ - 5x²  + 42x + 40

How do I solve this problem: 6c - 8 - 2c = -16

Answers

Answer:

c = -2

Step-by-step explanation:

6c-8-2c = -16

4c -8 =-16

4c = -16 +8

4c = -8

4c/4 = -8/4

c = -2

Answred by Gauthmath

The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.

To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.

Combine like terms on the left side of the equation:

6c - 2c = 4c

The equation now becomes:

4c - 8 = -16

Take constant term on the right side of the equation by adding 8 to both sides:

4c - 8 + 8 = -16 + 8

The equation simplifies to:

4c = -8

To find the value of c, divide both sides of the equation by 4:

4c / 4 = -8 / 4

c = -2

Hence, the value of c is -2 in the equation  6c - 8 - 2c = -16.

To learn more on Equation:

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HELPPP! Pleaze I will give 30 points!


Triangle XYZ has vertices at X(-2, 3), Y(3, 0), and Z(2, 1). What are the coordinates of the image of Triangle XYZ after the translation (x, y) --> (x + 3, y + 1)?

Answers

Answer:

u need my help OK bet

Step-by-step explanation:

so heres tge answer

Answer:

is it x(1,4) y(6,1) z(5,2)

give brainliest

log 55 is the power to which ---- must be raised in order to produce a value of 55

Answers

Answer:

10

Step-by-step explanation:

just took the quiz

Someone please help! I have spent lots of time on this and I’m still confused

Answers

Answer:

its the 3rd choice.

Step-by-step explanation:

Firstly, we find angle BDC (180-90-30=60)

Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.

And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3

Now, we find angle BAC (180-90-(30+15)=45)

Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.

So since AB-DC=AD

14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)

5 + 8n = 7(-7 + 4n) -6

Answers

Answer:

n = 3

Step-by-step explanation:

Given

5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side

5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )

5 - 20n = - 55 ( subtract 5 from both sides )

- 20n = - 60 ( divide both sides by - 20 )

n = [tex]\frac{-60}{-20}[/tex] = 3

Rhombus LMNO is shown with its diagonals.

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.

Angle MNO measures 112°. What is the measure of angle LMN?

Answers

Answer:

hope this help

Step-by-step explanation:

Answer:

90

51

10

Step-by-step explanation:

What is the circumference, in inches, of the front tire of Susan’s bike?

Answers

Answer:

The bike will travel approximately 1,272 inches or 106 feet.  

Step-by-step explanation:

The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel.  The formula used to find circumference is:  C = dπ, where 'd' is the diameter and π = 3.14.  In this case C = 27 x 3.14 ≈ 84.78 inches.  Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel:  84.78 x 15 ≈ 1,272 inches.  1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12:  1272/12 = 106 feet.

Hope this answer helps you :)

Have a great day

Mark brainliest

PLEASE HELP

Which number best represents the slope of the graphed line?

Answers

Answer:

1/2

Step-by-step explanation:

pick a point on the graph where it hits the x and y line. Go up one unit and two units to the right. you hit another "point". you need to remember the formula rise over run (RISE/RUN). you rose 1 unit and ran 2 units. hence, the answer is 1/2

1/2 should be the answer

The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter​

Answers

Answer:

2l+2w

2 (11) +2 (10)

22+20

42

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected

Answers

Answer:

[tex]P = 0.1447[/tex]

Step-by-step explanation:

Given

[tex]n = 7000[/tex] -- total

[tex]d = 180[/tex] --- defective

[tex]r = 6[/tex] --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]

[tex]Pr = 0.8553[/tex]

Using the complement rule, the probability that the batch will be rejected is:

[tex]P = 1 - 0.8553[/tex]

[tex]P = 0.1447[/tex]

(52)-1 + 5÷1
Answer please..​

Answers

Answer:

I believe this might be the answer 52 − 1 + 5/1= 56

Answer:

56

Step-by-step explanation:

hope it helps ^^.

what is the relationship that have the same rate of change

Answers

Answer:

I don't really know sorry

Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "<=" for < or ">" for >.

Can anyone pls help ?

Answers

Given:

The graph of a linear inequality.

The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.

To find:

The inequality for the given graph.

Solution:

The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\dfrac{1+2}{1}(x)[/tex]

[tex]y+2=3x[/tex]

Subtract 2 from both sides.

[tex]y=3x-2[/tex]

The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].

[tex]y\geq 3x-2[/tex]

Therefore, the required inequality is [tex]y\geq 3x-2[/tex].

Answer:

y>3x-2

Step-by-step explanation:

.............................

can any one explain how to look for d direction of a vector .​

Answers

Answer:

The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)

Match each equation to its graph. Use the drop-
down menus to describe the equations.

Answers

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

The correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

What is a linear equation?

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

What is a quadratic equation?

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.

Therefore the correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

Learn more about linear equation

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