Applying the vertical angle theorem, the measure of the missing angles are:
e = 31
f = 72
d = 77
<h3>What is the Vertical Angle Theorem?</h3>
The vertical angles theorem states that two angles that are vertically opposite to each other have equal measures.
Angle e and 31 degrees are vertical angles. Therefore, based on the vertical angles theorem,
e = 31 degrees.
Also, d = 77 degrees [vertical angles theorem].
e + 77 + f = 180 degrees [straight line angles have a sum of 180 degrees].
Substitute the value of e into the equation
31 + 77 + f = 180
108 + f = 180
Subtract 108 from both sides
108 + f - 108 = 180 - 108
f = 72 degrees.
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Answer:
B) 5.8
Step-by-step explanation:
5^2 + 3^2 = x^2 ( By Pythagoras theorem )
25 + 9 = x^2
34 = x^2
x = 5.8
Well x=0
I hope this helps!
Answer:
m= 3/4
Step-by-step explanation:
Use the slope formula to find the slope m
Answer:
Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:
And that:
