First I found the number of adults by multiplying .60 by 700. It was 420. From there all I had to do was subtract it from 700. Revealing the number of children to be 280.
Answer:
x = 12
m(∠B) = 45°
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.
Angles A and B are the "Alternate exterior angles" which will equal in measure.
m(∠A) = m(∠B)
(5x - 15) = (2x + 21)
5x - 2x = 15 + 21
3x = 36
x = 12
Since, m(∠B) = (2x + 21)
= (2×12) + 21
= 24 + 21
= 45°
Therefore, x = 12 and measure of angle B will be 45°.
It is where the numerator and the denominator (or both) contain a fraction.
Answer: x = 40
<u>Step-by-step explanation:</u>
3x + x + 20 = 180 <em>same side (consecutive) interior angles</em>
4x + 20 = 180
4x = 160
x = 40
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Answer: x = 24
<u>Step-by-step explanation:</u>
6x - 24 + 2x + 12 = 180 <em>linear pair (supplementary angles)</em>
8x - 12 = 180
8x = 192
x = 24
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Answer: x = 16
<u>Step-by-step explanation:</u>
base angles of an isosceles triangle are congruent
2(2x + 15) + 6x - 10 = 180 <em>triangle sum theorem</em>
4x + 30 + 6x - 10 = 180
10x + 20 = 180
10x = 160
x = 16
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Let ∠1 and ∠2 represent the exterior angles in the diagram and "x" represent the same side (consecutive) interior angle with ∠1.
Then m∠1 + x = 180 <em>same side interior angle theorem</em>
and m∠2 + x = 180 <em>linear pairs are supplementary </em>
m∠1 + x = m∠2 + x <em>transitive property</em>
m∠1 = m∠2 <em>subtraction property of equality</em>
∠1 ≈ ∠2 <em>definition of congruency</em>
