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Vladimir79 [104]
3 years ago
6

Which expression is equivalent to (-5 x 2^2 x 2^0)^-2

Mathematics
1 answer:
Aloiza [94]3 years ago
3 0
=(-5 x 4 x 1)^-2
= (-20)^-2
= 1/(-20)^2
= 1/400

so D then i think
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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]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

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

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

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       60 = 4x

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

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Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

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