Answer:
α = 62°
β = 56°
gamma = 90°
Step-by-step explanation:
ΔAOB is isosceles, so m∠A = m∠ABO = 28
28 + 28 + m∠AOB = 180
m∠AOB = 180 - 28 - 28 = 124
β = 180 - 124 = 56
arcAB = 124
ΔBOC is isosceles. α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62
∠D is inscribed in a semicircle
m∠D = gamma = 90°
By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.
<h3>How to get the value of y when x = 16?</h3>
If y varies directly with x, then we can write the relation as:
y = k*x
Where k is the constant of proportionality.
First, we know that when x = 4, we have y = 8, replacing that we get:
8 = k*4
Solving for k, we get:
k = 8/4 = 2.
Then the relation between x and y is:
y = 2*x
When x = 16, we have:
y = 2*16 = 32
Then the correct option is a.
If you want to learn more about proportional relations:
brainly.com/question/12242745
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Answer:
4/5
Step-by-step explanation:
Because Patrick ate 1/5 of his cake, meaning that there would be 4/5 of the cake left for his friends to eat.
yes
Set up the equation like 4b+61=0, subtract 61 from both sides, and that'll be 4b=-61. Divide both sides by 4. b=15.25