Answer:
The value of v is 6° and the value of w is 15°
Step-by-step explanation:
we know that
When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure
so
5v=2w -----> equation A
10w+5v=180 ----> equation B
substitute equation A in equation B and solve for w
10w+(2w)=180
12w=180
w=15°
Find the value of v
5v=2w -----> v=2w/5
v=2(15)/5=6°
therefore
The value of v is 6° and the value of w is 15°
Answer:
m∠CEA = 90°
∠CEF is a straight angle
∠AEF is a right angle
Step-by-step explanation:
we know that
BE bisects ∠CEA -----> given problem
so
m∠CEB=m∠BEA
m∠CEA=m∠CEB+m∠BEA
The measure of angle CEA is a right angle -----> m∠CEA=90°
The measure of angle CEF is a straight angle -----> m∠CEF=180°
m∠CEF=m∠CEA+m∠AEF
The measure of angle AEF is a right angle -----> m∠AEF=90°
therefore
The statements that must be true are
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
I think you should ask for help by posting in sections instead of the assignment as a whole
Answer:
140
Step-by-step explanation:
The graph of the function, g(x) = 1/3 f(x), is shown below. The correct option is A
<h3>Graph of functions </h3>
From the question, we are to determine the graph of the given function
The function we are to determine its graph is
g(x) = 1/3 f(x)
From the given information,
f(x) = x²
Thus,
We are to determine the graph of
g(x) = 1/3 x²
First, we will determine some points on the given function
Find g(x) when x = -3
g(x) = 1/3 x²
g(x) = 1/3 (-3)²
g(x) = 1/3 × 9
g(x) = 3
Find g(x) when x = 0
g(x) = 1/3 x²
g(x) = 1/3 (0)²
g(x) = 1/3 × 0
g(x) = 0
Find g(x) when x = 3
g(x) = 1/3 x²
g(x) = 1/3 (3)²
g(x) = 1/3 × 9
g(x) = 3
Using the points above, the graph of the function is shown below
Learn more on Graph of functions here: brainly.com/question/9525508
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