Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
$315, i cant give a thorough explanation since i did it all in my head but basically amal gets 5 portions of the money and Salma gets 9, meaning she gets 4 more, so if 4 portions is $252 then it cant be any of the others since they are too low or way too high, $315 is the only reasonable one.
22 = z + (-9) Switch the sides
z = 22 - (-9) Solve
z = 31 So, z = 31
Answer:
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 
and 
?
It is 
2 - What is the highest degree of 
that divides evenly into and ?
It is 1, since is not in every term.
3 - Multiplying the results above,
The GCF is 4.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
3) Simplify each term in parentheses.
4) Factor out common terms in the first two terms, then in the last two terms.
5) Factor out the common term 
.
