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
Read more about angle bisectors at:
brainly.com/question/12896755
Work out 3/8 of 48.
First of all divide 48 by the denominator:
48 ÷ 8 = 6 (this gives 1/8 of 48)
Now multiply this answer by the numerator:
6 × 3 = 18 (this gives 3/8 of 48)
Answer:
The length ot rectangle is 3 units.
Step-by-step explanation:
The formula for perimeter is P = 2l + 2w and the area is A = l×w. Assuming that the perimeter and area have the same values so you have to compare it :










Answer:
7/6,
999/2,
123/4
Step-by-step explanation:
As long as the numerator is bigger than the denominator, the fraction will be greater than 1.
Answer:
Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].
Step-by-step explanation:
We have to construct a 98% confidence interval for the mean.
The information we have is:
- Sample mean: 31
- Variance: 49
- Sample size: 15
- The age is normally distributed.
We know that the degrees of freedom are

Then, the t-value for a 98% CI is t=2.625 (according to the t-table).
The standard deviation can be estimated from the variance as:

The margin of error is:

Then, the CI can be constructed as:
