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Masja [62]
3 years ago
10

Absolute value inequalities with fractions

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0
|x - 2x/5| <= 10
|5x - 2x| <= 50
3x <= 50
  x <= 50/3

-|5x - 2x| <= 50
-3x <= 50
   x >= - 50/3

answer

-50/3 <=  x <= 50/3


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In isosceles trapezoid JKLM, m∠J = 17x + 7, and m∠M = 11x + 13. Find m∠K.
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Answer:

m\angle K \approx 104.14^{\circ}

Step-by-step explanation:

In isosceles trapezoid JKLM,

Given: m\angle J = 17x+7 and m\angle M = 11x+13

Since, JKLM is an isosceles trapezoid so each pair of base angles is congruent.

m\angle J = m\angle K

m\angle M = m\angle L

As, we know that the sum of the angle of a trapezoid is 360^{\circ}

The angles are:

m\angle J = 17x+7

m\angle K = 17x+7

m\angle L = 11x+13

m\angle M = 11x+13

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56x + 40 = 360^{\circ}

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56x + 40 -40 = 360 - 40

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56x = 320

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Simplify:

m\angle K \approx 104.14^{\circ}

Therefore, the value of angle of m\angle K \approx 104.14^{\circ}

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