9514 1404 393
Answer:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Step-by-step explanation:
Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.
Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.
Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.
In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.
In summary:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Answer:
(there is no screenshots so i cant take a good guess) I would say A
Step-by-step explanation:
The answer is: 45 * 10 ⁻¹¹ .
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Explanation:
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Given: (9 * 10⁻⁵) * (5 *10 ⁻⁶) ; Simplify.
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(9 * 10⁻⁵) * (5 *10⁻⁶) =
9 * 5 * 10⁻⁵ * 10⁻⁶ =
(9 * 5) * 10⁻⁵ * 10⁻⁶
45 * 10⁻⁵ * 10⁻⁶ ;
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Note the following property of exponents:
xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
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So; 45 * 10⁻⁵ * 10⁻⁶
= 45 * 10⁻¹¹ .
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Answer:
5x+10
Step-by-step explanation:
Distribute:
=(5)(x)+(5)(3)+−5
=5x+15+−5
Combine Like Terms:
=5x+15+−5
=(5x)+(15+−5)
=5x+10
Answer:
1. 10m
2. 18 ft
Step-by-step explanation:
These are just ratios. They are both essentially doubling
