Answer: Measure angle H = 42°
Step-by-step explanation:
"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 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 this:
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 helped!
Problem
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.
By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.
Solution
the volume of a cylinder is given by:
We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:
And the new volume would increase about 52%
Answer:
29
Step-by-step explanation:
Answer:
5/(3x+2) = 7/(5x-2)
<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)
<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)
<=> 4x = 24 (x is not equal to -3/2 or 2/5)
<=> x = 6 (valid)
