The complete question is shown in the attached image

Answer:
measure angle H = 42°

Explanation:
There is a theorem that states that:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In the given, we have:
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

Based on the above rule:
measure angle E = measure angle D + measure angle H

We are given that:
angle E = 87°
angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°

Hope this helps :)

3 0

3 years ago

Solve the inequality

Natasha2012 [34]

The answer is B. for the ineq

8 0

3 years ago

Xavier can swim at a constant speed of 5/3 meters/second.

koban [17]

Answer:

Step-by-step explanation:

Well we can find how far he travels in 55 seconds if he swims at constant speed of 5/3 meters.

5/3 times 55 = approx. 91.66 meters

Therefore Xavier will not quality for the national Swim Meet because he didn't swim 100 meters in 55 seconds

7 0

3 years ago

If you take a number, times by 3 then add 6. You get the same as if you took the number, times by 6 then subtract 3. What is the

PtichkaEL [24]

Answer:

Step-by-step explanation:

write the question in an algebraic way:

3x+6 = 6x - 3

Solve:

6x-3 = 3x+6

6x - 3 - 3x = 6

3x = 9

x = 3

Hope this helps.

Good Luck

8 0

3 years ago

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