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balu736 [363]
3 years ago
15

Will give 60 points and brainliest

Mathematics
2 answers:
elixir [45]3 years ago
7 0

In order to find the value of x, we can write the following statements and reasons:

Triangle PQR:

1. Statement: PS = PS

Reason: Reflexive property of equality

2. Statement: angle PSQ is congruent to angle PSR

Reason: Given

3. Statement: SQ is equal to SR

Reason: Given:

4. Statement: Triangle PSQ is congruent to triangle PSR

Reason: Case SAS of congruency

5. Statement: PQ is congruent to PR, so PR = 8

Reason: Corresponding sides of congruent triangles

Quadrilateral VSTU:

1. Statement: VT = VT

Reason: Reflexive property of equality

2. Statement: angle SVT is congruent to angle UVT

Reason: Given

3. Statement: angle VST is congruent to angle VUT

Reason: Given

4. Statement: Triangle VST is congruent to triangle VUT

Reason: Case AAS of congruency

5. Statement: ST = TU

Reason: Corresponding sides of congruent triangles

So we have 5z = 2z + 3. Solving for z, we have z = 1, so ST = 5z = 5

Katen [24]3 years ago
6 0
I am not sure what you mean, but x=4
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