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Lemur [1.5K]
3 years ago
5

If TRAP is an isosceles trapezoid, what is the value of x? (4x+12) = t 2x = p

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

Answer:

C. 28.

Step-by-step explanation:

TR is parallel to PA so the 'inside' angles are supplementary, so

2x + 4x + 12 = 180

6x = 180-12 = 168

x = 168/6

x = 28.

Vsevolod [243]3 years ago
5 0

In a trapezoid, all angles will add up to 360 degrees. And, that angles T and R will be equal, and angles P and A will also be equal. Therefore, we can double what we have for t and p, add those together, and set them equal to 360 degrees.

2(4x + 12) + 2(2x) = 360

8x + 24 + 4x = 360

12x + 24 = 360

12x = 336

x = 28

The correct answer is C. 28.

Hope this helps!! :)

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In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.
Dennis_Churaev [7]

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<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

 KM ≅ LM

3x + 23 = 7x - 37

       23 = 4x - 37

       60 = 4x

        15 = x

KM = LM = 3x + 23

               = 3(15) + 23

               = 45 + 23

               = 68

KL = 9x - 40

    = 9(15) - 40

    = 135 - 40

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Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
  • Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse

Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

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3 years ago
How to write each fraction or mixed number as a decimal
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Answer:

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