Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The point P is the center of the circle (the drawing is not a scale )
step 1
Find the measure of angle ∠CPD
we know that
---> by supplementary angles (form a linear pair)

step 2
Find the measure of arc DC
we know that
<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
----> by central angle
therefore

C. Claire could be 6 foot 8 while Alice could be 5 feet.
D. It would be 3/4 to 4/4 because Alice is 1/4 shorter than Claire.
3/4 : 4/4 | 6/8 : 8/8 | 9/12 : 12/12 | etcetera.
We can see here that there are 2 triangular bases on the prism.
To calculate the area of a triangle, we multiply the base and the height and then divide by 2.
A = 8 x 6 /2
A = 48/2
A = 24
Hope it helps!
Answer:
a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).
b. 
c. The total area of the figure is 279 square inches.
Step-by-step explanation:
a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,
b. The area of a rectangle can be found using this formula:

Where "l" is lenght and "w" is the width.
Area of Rectangle A
You can identify that:

Then, its area is:

Area of Rectangle B
You can identify that:

Then, its area is:

Total area

c. The total area of the figure is 279 square inches.
A Z-score helps us to understand how far is the data from the mean. The correct option is B.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The weight of a randomly selected pack of gum has a z-score of 3.11. Therefore, The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.
Hence, the correct option is B.
Learn more about Z-score:
brainly.com/question/13299273
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