Given the similar triangles shown in the diagram below :

A) set up an equation and solve for x

B) find the length of side AB
C ) find the side length of side AC

Answer:

a.) (x-3)(x-3) = 25 + (x-4)(x-4)

x^2 - 6x + 9 = 25 + x^2 - 8x + 16

-6x + 9 = -8x + 41

2x + 9 = 41

2x = 32

x = 16

b.) 16 - 4 = 12

AB = 12

c.) 16 - 3 = 13

AC = 13

[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]

Which size can of soup shown in the table has the lowest unit price? ​

The ratio of the first row values to the second row values in the table shown is constant in each column.

Which table shows the correct value for "p?"
A.) 11
B.) 12
C.) 14
D.) 15

Someone help me with this ASAP!

I need help I have dance like rn and ahhh

Tell me which one is prime 19,28,49,63

20 POINTS PLZ HELP

Madeleine’s mom was making smoothies for her classroom. Since Madeleine has 24 classmates, her mom made 30 cups of smoothie. If each serving was 3 5 of a cup, how many servings did she make?

Complete the steps to find the sum.

(2.7 × 10–9) + (8.5 × 10–9)



1. Rearrange the expression: (2.7 + 8.5) × 10–9

2. Add the coefficients: (11.2) × 10–9

3. Write in scientific notation: 1.12 × 10k

What is the value of k in the solution?

Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%

What is the value of x in the equation x3=27/125 ?




81/375


9/42


3/25


3/5

Plot the image of point CCC under a dilation about point PPP with a scale factor of 22

What is the volume of the shape below

Julio bought 3/5 pound of potato salad for dinner. Wilma bought 5/4 the amount of potato salad that Julio did. How much potato salad did Wilma buy?

What property justifies Step 3 in solving this equation?
3(2x - 5) = 4x – 12
Distributive property
Subtraction property of equality
Step 1: 6x – 15 = 4x – 12
Step 2: 2x – 15 = -12
Step 3: 2x = 3
Step 4: x = Ź
3
Division property of equality

Find the product: StartFraction 7 Over 4 EndFraction times StartFraction 8 Over 5 EndFraction

The simplified product is the improper fraction __/_
As a mixed number, the product is 2_/_

-3 / 4 + (-2 / 7) - (- 5 ½)

4/10g+3/10 -10/10g -5/30 -20/30=

Solve [tex]x^{3}[/tex] = 64.

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFraction 5 Over 3 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2). Which equations also represent this line? Select three options.

y = y equals negative StartFraction 5 Over 3 EndFraction x minus 2.x – 2
y = y equals negative StartFraction 5 Over 3 EndFraction x plus StartFraction 10 Over 3 EndFraction.x +
3y = –5x + 10
3x + 15y = 30
5x + 3y = 10

A college campus has a lawn shaped like a circle with a radius, r, of 60 meters. Which is the best approximation of the area, A, of the circular lawn? (Use A=πr2; π is approximately 3.14.)

Answers:

A. 180 square meters
B. 360 square meters
C. 2,800 square meters
D. 11,300 square meters

Which of the following tables of values represent ordered pairs for the function f(x) = 2x – 1?



x 3 6 9 12

f(x) 6 12 18 24


x 2 4 6 8

f(x) 5 9 13 17


x 1 2 3 4

f(x) 1 3 13 17


x 0 4 8 12

f(x) -1 7 15 23

d to the 5th power times e to the 3rd power times f

!!!!!!!!!! PLEASE HELP IM SO FRUSTRATED
CAN SOMEONE EXPLAIN HOW I DO THESE PROBLEMS? IM SO CONFUSED AND I HAVE A LOT TO DO PLEASE !!!!!!!

1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.

2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?


3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.

4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of

A system of linear equations is shown below, where A and B are real numbers. What values could A and B be For the system to have no solutions?

How do you determine the constant rate of change from a table of x and y values.

help me please, i need the help asap

What is the image of the point (-9, -7) when rotated 180 degrees anticlockwise about the origin?
(9, 7)
(7, 9)
(-7, -9)
(-9, -7)

PLZ ANSWER ILL GIVE BRAINLIEST!!! Finding the Slope of a Line from a Graph On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2). What Is the slope of the line on the graph?

FIFTY!!!!! POINTS TO ANSWER ALL OF THESE:
1. x to the second power + 10 = 131 (solve for x)
2. x to the second power - 56 = 88 (solve for x)
3. x to the third power + 15 = 79 (solve for x)
4. 3x to the second power = 108 (solve for x)
5. 4x to the third power = 32 (solve for x)
6. 330 = 2x to the third power + 80 (solve for x)
7. x to the second power ÷ 3 = 27 (solve for x)
8. x to the second power ÷ 2 + 14 = 22
9. x to the third power ÷ 2 + 59 = 91
Thanks in advance!

15 POINTS WILL MARK BRAINLEST IF YOU ANSWER CORRECTLY Phu said that when you divide two negative decimals, the quotient will be greater than 0.
Use these numbers to answer the questions:

-7.2, -2.4, -1.6, -0.8

Part A: Is Norah's statement always true, sometimes true, or always false? Write two equations to support your answer. (10 points)







Part B: Write a rule for dividing two negative decimals (5 points)

HELP!!! WILL MARK BRAINLIEST!

John increased the amount of water he drinks every day from 20 fluid ounces to 48 fluid ounces. By what percentages did John increases the water he drinks?