X = 90 degrees
angle B = 47 degrees
add them together = 137
subtract from 180 = 43
y = 43 degrees
Answer:
D would be equal to 64
You just need to multiply 32 by 2
Answer:
D=24
Step-by-step explanation:
y inversely as x
x=k/y
By cross multiplication
k=xy
k=12*6
k=72
finding y
72=3y
y=24
Answer:
13. x = 7 ; Converse : Alternate interior angles are equal .
14. x=12; Converse used : Linear pair
15. x = 23; Converse: Corresponding angles are equal
Step-by-step explanation:
13.
Refer the attached figure
Given: q || r
(Alternate interior angles )
So, 15x+3=108
15x=108-3
15x=105

x=7
So, x = 7 ; Converse : Alternate interior angles are equal .
14.
Refer the attached figure
Given q||r
(Alternate interior angles
So,
Now
(Linear pair)
So,7x-8+11x-28=180
18x-36= 180
18x=216

x=12
So, x=12; Converse used : Linear pair
15.
Refer the attached figure
Given q||r

(corresponding angles)
90+2x=5x+21
90-21=5x-2x
69=3x
23=x
So, x = 23; Converse: Corresponding angles are equal
We have that
f(x) = (x – 5)³(x + 2)²
we know that
<span>the roots can touch or cross the x axis
</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
therefore
the answer is<span>
the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure