Answer:
b) 43 degrees
Step-by-step explanation:
Answer:
-True-
Explanation:
the left side
60
is equal to the right side
60
, which means that the given statement is always true.
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:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
Answer:
x=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−6x=5x+22
Step 1: Subtract 5x from both sides.
−6x−5x=5x+22−5x
−11x=22
Step 2: Divide both sides by -11.
−11x
−11
=
22
−11
x=−2