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Lemur [1.5K]
3 years ago
15

If FGH QRS, find the measure of Q A. 9 B.28 C.11 D.34

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

  • 28°

Step-by-step explanation:

<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>

  • ∠F = ∠Q
  • (2x + 10)° = (3x + 1)°
  • 3x - 2x = (10 - 1)°
  • x = 9°

<u>Then, the angle Q measures:</u>

  • ∠Q = (3*9 + 1)° = 28°
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Therefore, the equation should be:

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7 0
3 years ago
If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a
Anna [14]

Answer:

Option A is correct.

The given expression : \frac{a}{4} = \frac{9}{a} then;

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Step-by-step explanation:

Given the expression: \frac{a}{4} = \frac{9}{a}

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
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Using cross multiplication, on the given expression;

\frac{a}{4} = \frac{9}{a}

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

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Simplify:

\frac{a^2}{4} =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9\times 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36




6 0
3 years ago
Read 2 more answers
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