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PilotLPTM [1.2K]
3 years ago
12

Help anyone need it asap 8th grade math

Mathematics
1 answer:
Alborosie3 years ago
5 0

Answer:

x =22

Step-by-step explanation:

The two angles are corresponding angles , so the angles are equal

x+14 = 5x-74

Subtract x from each side

x+14-x = 5x-x-74

14 = 4x-74

Add 74 to each side

14+74 = 4x-74+74

88 = 4x

Divide by 4

88/4 = 4x/4

22 =x

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<h3>Answers:</h3>
  • ST = 23
  • RU = 8
  • SV = 5
  • SU = 10

====================================================

Explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

Since the triangles are the same, just mirrored, this means ST = UT = 23.

-----------------------

Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

Therefore, RS = RU = 8

-----------------------

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-----------------------

SU = SV + VU = 5+5 = 10

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