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alex41 [277]
3 years ago
13

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

RQ\cong UT

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

\angle R\cong \angle U\\\angle S\cong \angle V

The adjacent side to \angle R is RQ and for \angle U is UT.

Similarly, the adjacent side to \angle S is QS and for \angle V is TV.

So, the possible sides that could be congruent by AAS postulate are:

RQ\cong UT or QS\cong TV

So, the correct option is RQ\cong UT

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4. Find the exact volume of the cylinder. Use alt+227 or pi for pi as needed. . 1<br> 16<br> 21
lisov135 [29]

Answer:

Step-by-step explanation:

\text{The volume of a cylinder is}\\ \\ V=h\pi r^2,\ r=16/2=8,/ h=21\\ \\ V=21\pi (8^2)\\ \\ V=1344\pi

8 0
3 years ago
At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new savings account at
Vera_Pavlovna [14]
<span>Let x = represent the number of weeks of deposits
A = 120 + 5x the account balance after x weeks
The account balance is directly proportional to the number of weeks of deposits if:
A/x = constant
(120 + 5x)/x = 120/x + 5 is not a constant
For example:
After 1 week there will be: 120 + 1*5 = $125 on the account
After 2 week there will be: 120 + 2*5 = $130 on the account
After 3 week there will be: 120 + 3*5 = $135 on the account
But 125/1 <> 130/2 <> 135/3
The account balance is not proportional to the number of weeks of deposits.</span>
8 0
3 years ago
6. Find the sum or difference<br> 1/3(9 - 6m) + 1/4 (12m-8)
romanna [79]

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9  - 1/3 *6m  + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

m+1

6 0
3 years ago
3. How many 1/8's are in 1 1/4?
Murrr4er [49]

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

3 0
3 years ago
Help please idk how to do this
OverLord2011 [107]

I hope this helped and have a great day.

You need to times 2/3 twice

-2/-3 * -2/3

3 0
3 years ago
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