An angle bisector divides an angle into two equal halves.
The measure of angle 
is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects 
Because line PC bisects , then it means that the measure of RPD is twice the measure of CPD:
So, we have:
Substitute
Divide both sides by 2
Apply symmetric property of equality:
Hence, the measure of angle is 70 degrees
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Answer:
2
Step-by-step explanation:
1/3 = x/6
Equivalent fractions.
Multiply 3 by 2 for x
(1×2)/(3×2) = 2/6
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.
The given values are:
- Base fare per ride = $2.75
- Discount = 5%
- Weekly unlimited Metro Card costs = $32
The Fare after discount will be:
= 
= 
= 
= 
($)
hence,
In $32, the minimum number of rides will be:
= 
= 
or,
= 13
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