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pickupchik [31]
3 years ago
11

Use the AA similarity Postulate to prove the diagram has two similar

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

Triangle  PRT is similar to triangle SRQ

Step-by-step explanation:

AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

one  angle is already given   : angle    RPT congruent to  angle   RSQ

The other is   :   angle    TRP congruent to  angle  SRQ (both triangles share the  same angle)

Triangle PRT is similar to triangle SRQ  (AA postulate)

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Jocelyn was asked to draw a square with an area of 20 cm2. Which could be the side length of the square? I. 20 cm II. 5 cm III.
Paladinen [302]

Answer:

The correct option is III: 4.5 cm.

Step-by-step explanation:

The area of a square is the following:

A = b^{2}    (1)

Where:

A: is the area

b: is the side of the square

We have that the area is 20 cm², hence by solving equation (1) for <em>b</em> we can find the side:

b = \sqrt{A} = \sqrt{20 cm^{2}} = 4.5 cm

Therefore, the correct option is III: 4.5 cm.

I hope it helps you!

5 0
3 years ago
Help click all the questions
DedPeter [7]

Answer:

B,B,C

Step-by-step explanation:

#1: Meat is usually in ounces, patties weigh not too much, but enough. reasonable estimate. #2: Oil is a liquid, used not too much in baking. #3: Must be equal to 16/5.

4 0
3 years ago
A baseball team won 2 games. They played 17 games total. Which ratio shows how many games they lost
Contact [7]

Answer:

15/17

Step-by-step explanation:

if they won 2 games they lost 15 (17-2)  so the ratio is 15/17

6 0
3 years ago
Solve the equation 2/5x-1=9. Complete each step of the solution and check your solution
Fofino [41]

Answer:

x = 25

Step-by-step explanation:

2/5x - 1 = 9

Add 1 to both sides

2/5x = 10

Multiply by 5 on both sides

2x = 50

Divide by 2 on both sides

x = 25

Check the answer:

Plug in 25 for x

2/5(25) - 1 = 9

10 - 1 = 9

9 = 9

The answer is correct.

3 0
3 years ago
Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with same number of each thing in each b
pishuonlain [190]

Answer:  6 snack bags.

Step-by-step explanation:

For this exercise it is important to remember the Greatest Common Divisor (GCD). This is defined as  the largest positive intener by which  you can divided evenly "n" numbers.

In  this case, you know that Jane has  18 juice boxes, 24 bags of peanuts and 36 apples. Therefore, the steps are the following:

1. You need to descompose 18, 24 and 36 into their prime factors, as below:

18=2*3*3=2*3^2\\\\24=2*2*2*3=2^3*3\\\\36=2*2*3*3=2^2*3^2

2. Now you must choose the common ones with the smallest exponent and multiply them.

Then, you get:

GCD=3*2\\\\GCD=6

Therefore, the greatest number of snack bags that Jane can make is:  6 snack bags.

8 0
3 years ago
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