We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.
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Answer:
65%
Step-by-step explanation:
STEP ONE:
Find unit percent of 40. You should get 0.4.
STEP TWO:
Divide 26 by 0.4 and get 65.
So, the answer is 65%.
Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:
Thus,
The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.
Therefore when given the hypotenuse with endpoints at
We know that the third point of the right triangle will be at
and that the two side lengths will be defined by the absolute values of:
Answer:
62°
Step-by-step explanation:
The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:
m∠R = mFQ / 2
The arc FQ is the sum of the arcs FP and PQ, so we have:
mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67
Now, with the first equation, we have:
12x + 1 = (11x + 67) / 2
24x + 2 = 11x + 67
13x = 65
x = 5°
So we have that mFP = 11x + 7 = 55 + 7 = 62°
