(b-2)(b-2)(b^2+4)
= (b^2-4b+4)(b^2+4)
= b^4-4b^3+8b^2-16b+16
The measure of both angles are 112.5 and 68.5 degrees
<h3>Complementary angles</h3>
The sum of two complementary angles is 90 degrees.
If two angles are complementary, then;
x + y = 90
x = 90 - y..........1
where x and y are the angles
If two times the measure of one is equal to 40% of the measure of the other then;
2x = 0.4y ............2
Substitute equation 1 into 2
2(90-y) = 0.4y
180 - 2y = 0.4y
180 = -0.4y + 2y
1.6y = 180
Divide both sides by 1.6
1.6y/1.6 = 180/1.6
y = 112.5 degrees
For the other angle
x= 180 - y
x = 180 -112.5
x = 68.5 degrees
Hence the measure of both angles are 112.5 and 68.5 degrees
Learn more on complementary angles here: brainly.com/question/16281260
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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!
Take ln to both sides
ln 14^x = ln 5
then you'll get
x ln 14 = ln 5
divide both sides by ln 14
x = 0.6098533345
after rounding
x = 0.6099
