A student solved this problem by working backward.

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

creativ13 [48]

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 $RQ\cong UT$

5 0

3 years ago

Ricky rides his bike 12 miles every day he stops 7 miles to rest write and solve an equation to find out how much further he has

kondor19780726 [428]

<h3><u>Question:</u></h3>

Ricky rides his bike 12 miles every day. He stops after 7 miles to rest. write and solve an equation to find out how much further he has to ride

<h3><u>Answer:</u></h3>

Ricky has to further ride for 5 miles

<h3><u>Solution:</u></h3>

Given that, Ricky rides his bike 12 miles every day

Let "x" be the remaining distance in miles he has to ride further

Total distance = 12 miles

Also, given that he stops after 7 miles to rest

Therefore, already covered distance = 7 miles

Therefore, we can frame a equation as,

remaining distance + already covered distance = total distance

x + 7 = 12

Solve the above equation for "x"

x = 12 - 7

x = 5

Thus Ricky has to further ride for 5 miles

7 0

3 years ago

What is NOT the value of the expression |-8|

GarryVolchara [31]

If your asking for the wrong absolute value of it it’s -8 but if you want the right one it’s 8 but I think the answer to your question is -8.

7 0

3 years ago

Read 2 more answers

Their sum is − 1/3 and their difference is 18

Rina8888 [55]

Answer:x=53/6 and y=-55/6

Step-by-step explanation:

Let the first number x

Second number b y

Sum of the numbers x+y=-1/3

x-y=18

Solve simultaneously

Using elimination method

We get

2y=-55/3

y=-55/6

Substitute for y in equation 1

x+55/6=18

x=18-55/6

x=53/6

6 0

3 years ago

Find the distance between a and b

Jet001 [13]

Answer:

7.74596669241 (maybe)

Step-by-step explanation:

I havent really done this in a while but I started by making the line into a right triangle and counted how many boxes were inside(6 on the bottom 4 on the side). Then I used the Pythagorean theorem (which is the process of taking the sides and making them squares) < To simplify that explanation (I squared the sides(6 and 4).) so now we are left with 6² + 4² = x². next what you do is simplify your terms. (6² = 36, 4² = 24. 36 + 24 = 60) We have 60 = x² but we aren't don't yet, now we have to remove the square from x. and to do that we have to square root 60 and x² ( squared numbers being square rooted just leaves the regular number.) when square rooting 60 you are left with 7.8≈.

I hope this helps you, like i said its been a while since ive done this.

3 0

3 years ago