Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
Answer:
D
Step-by-step explanation:
First, find the slope of BC :
⇒ m (BC) = -1 - 5 / -3 - 5
⇒ m (BC) = -6/-8
⇒ m (BC) = <u>3/4</u>
Now, since AD is the altitude of BC, we can say the altitude is perpendicular to BC.
Hence, the slope of a perpendicular line is equal to the negative reciprocal of the original line.
⇒ m (AD) = - (1/m(BC))
⇒ m (AD) = - (1/(3/4))
⇒ m (AD) = -4/3
Answer:
B.
Step-by-step explanation:
Answer:
The answer should be: B. (9,3)