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Lisa [10]
3 years ago
15

Solve for x. 3(x + 2) + 4(x - 5) = 10

Mathematics
1 answer:
atroni [7]3 years ago
5 0
3 (x + 2) + 4(x - 5) = 10

Simplify.

3x + 6 + 4x - 20 = 10

Add like terms.

(3x+4x) + (6-20) = 10

Simplify.

7x - 14 = 10

Add 14 to both sides of the equation.

7x = 24

Divide both sides by 7 so that X is by itself.

x = 24/7, or 3 3/7

~Hope I helped!~
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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

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

SV = VU = 5 because RT bisects SU.

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

SU = SV + VU = 5+5 = 10

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