The measure of m<CBD is 63 degrees
<h3>Circle Geometry</h3>
According to line geometry, the sum of angles on a straight line is expressed as:
arcCD + m<CBF = 180
Given that
arcCD= 5x + 3 and;
m<CBF = 11x - 15
Substitute
5x + 3 + 11x - 15 = 180
16x - 12 = 180
16x = 192
x = 12
Determine the measure of m<CBD
m<CBD = arc CD = 5x + 3
m<CBD = 5(12) + 3
m<CBD = 63 degrees
Hence the measure of m<CBD is 63 degrees
Learn more on circle geometry here; brainly.com/question/24375372
Answer:
8
Step-by-step explanation:
Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means

Hope this helped!
Answer:
N=13
Step-by-step explanation:
For a pentagon, it's (5-2)180=(3)180=540 degrees. So plug in n=13 to see the sum of the angle measures for a 13-sided polygon.
The rule is that for normally distributed data:
- 68% are in the range mean +/- 1*standard deviation
- 95% are in the range mean +/- 2*standard deviation
- 99.7% are in the range mean +/- 3*standard deviation
Then in this case the range is from 7.11 minutes - 3*0.74 minutes to 7.11 minutes + 3*0.74 minutes
This is, 7.11 - 2.22 to 7.11 + 2.22
Equal to 4.89 to 9.33
Then, the answer is the option B.