m(ar ABD) = 54°
Solution:
The image of the question is attached below.
Given data:
m∠BCD = 21° and m(ar EF) = 33°
By central angle theorem,
The measure of a central angle is equal to the measure of the intercepted arc.
m (ar EF) = m∠ECF
m∠EFC = 33°
By vertical angle theorem,
If two lines are intersecting, then vertically opposite angles are equal.
⇒ m∠ACB = m∠ECF
⇒ m∠ACB = 33°
m∠ACD = m∠ACB + m∠BCD
= 33° + 21°
m∠ACD = 54°
By central angle theorem,
m(ar ABD) = m∠ACD
m(ar ABD) = 54°
Answer:
p = 12
Step-by-step explanation:
add 2 to both sides of the equation
24 = 2p ( divide both sides by 2 )
p = 12
Answer: p=2
Step-by-step explanation:
22=2p-2
You add two to 22 which will give you 24
24=2p
You want to divide the 2 to get the letter by itself
12=2
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