When multiplying fractions, multiply the numerators (top part of fraction) with numerators and denominators (bottom part of fraction) with denominators.
By using what we know about intersecting lines, we will see that:
- a) ∡7 = 47°
- b) 47° + (2x - 5)° = 180°
- c) x = 69
<h3>
How to get the measures of the angles for two intersecting lines?</h3>
When two lines intersect, 4 angles are formed. There are two properties that these angles have.
- If the angles are adjacent, then their measures add up to 180°
- If the angles are not adjacent, these angles have the same measure.
a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
brainly.com/question/1884491
8 1/2 minutes=17/2 minutes
1/3 mile:17/2 minutes
? mile: 1 minute
1/3÷17/2=1/3×2/17=2/51 miles. As a result, the unit rate is 2/51 mile per minute. Hope it help!
Answer: -3
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