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2 years ago

Solve for w,x,y and z

Mathematics

1 answer:

postnew [5]2 years ago

8 0

Answer:

Step-by-step explanation:

2y - 6 + y = 180 {Co-interior angles}

3y - 6 = 180

3y = 180 + 6

3y = 186

y = 186/3

y = 62

y + w = 180 {Linear pair}

62 +w = 180

w = 180 - 62

w = 118

ΔILK ,

∠L + ∠ I + ∠K = 180 {Angle sum property of triangle}

w + z + 30 = 180

118 + z + 30 = 180

z + 148 = 180

z =180- 148

z = 32

x = z {Alternate interior angles}

x = 32

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<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

Inequality H

$-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1$

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Inequality W

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Therefore, you should connect M with x≤-12.

Inequality Y

$-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9$

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Therefore, you should connect C with x≥7.

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C - $x\geq 7$

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