Answer:
If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?
Suppose two angles ABC and CBD are x and y.
x+y = 180 deg.
The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.
Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle
Adjacent angles are when the 2 angles have a common vertex and a common arm.
if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.
Then the sum of the 2 adjacent angles is a right angle - 90°.
When 2 angles add up to 90°, they are called a pair of complementary angles.
Step-by-step explanation:
Answer:
10+10-5=15
10-7=3
8
7+8
5
Step-by-step explanation:
Answer:23.1 ft
Step-by-step explanation:
Given
Point is 15 ft away from the base of the flagpole
The angle of elevation is
from the figure, we can write
The length of the flagpole is 23.1 ft
Answer:
The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Step-by-step explanation:
We need to describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
We have g(x) = cos x
After transformation we get
f(x)= 9 cos x
According to transformation rule:
if f(x) is transformed into a.f(x) then the transformation is vertical stretch or compression.
- if a > 1 then transformation is vertical stretch
- if 0 < a < 1 then transformation is vertical compression
In our case
g(x)= cos x
f(x) = 9 cos x
a=9 and a>1 so, the transformation is vertical stretch.
So, The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Answer:
<h2>h(3) = 6</h2>
Step-by-step explanation:
h(x) = 3x - 3
To find h(3) , substitute the value of x that's 3 into h(x). That is for every x in f (x) replace it with 3
We have
h(3) = 3(3) - 3
= 9 - 3
We have the final answer as
<h3>h(3) = 6</h3>
Hope this helps you