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Bad White [126]
3 years ago
13

What is the length of CD in the figure below? Show your work.

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

5

Step-by-step explanation:

First, notice that these two triangles are similar using AA.

Because sides BC and EC are corresponding, you can divide 24 by 8, to determine that the ratio of similitude is 3.

That means that because sides AC and DC are corresponding, 25 - 2x divided by x is 3.

25 - 2x / x = 3

25 - 2x = 3x

25 = 5x

x = 5

x is the same as side CD, so CD = 5.

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A shoe box in the shape of a right rectangular prism has a base that measures 7 inches by 12 inches and is 5 inches high. What i
AlekseyPX

Answer:

The volume of the shoe box is 420 cubic inch

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a righ rectangular prism

Given data

Length of prism l= 12inches

Width of prism w= 7 inches

Height of prism h= 5 inches

We know that the volume of a rectangular prism is expressed as

Volume =l*w*h

Volume = 12*7*5= 420in³

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!<br> Fill in the blanks problem<br> (please view both attachments)
WINSTONCH [101]

angle 5 = angle 1 = Corresponding Angles Postulate

angle 6 + angle 5 = 180 =  linear pair postulate

5 0
3 years ago
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Find the distance between the points (3 4) and (4 3)​
Usimov [2.4K]

Answer:

\sqrt{2} or 1.414213

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2}  }

d = distance

(x_{1}, y_{1}) = coordinates of the first point

(x_{2}, y_{2}) = coordinates of the second point

8 0
3 years ago
A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet.
Vladimir [108]

Answer:

178.98 ft2

Step-by-step explanation:

we know that

The area of the circular path alone is equal to subtract the area of the circular garden from the area of the complete circle (circular garden plus circular path)

so

A=\pi (r_2^2-r_1^2)

where

r_1=8\ ft ---> radius of circular garden

r_2=8+3=11\ ft ----> radius of the circular garden plus radius circular path

substitute

A=3.14 (11^2-8^2)=178.98\ ft^2

5 0
3 years ago
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Which number is irrational? A. 3/8 B. 56/8 to the fourth C. 36 to the fourth over 4 to the fourth D. 0.19 repeating
mixer [17]
I believe that none would be irrational; an irrational number can't have terminating or repeating decimals. 3/8= .375, (56/8)^4=7^4=2,401, 36^4/4^4=6561, and .19 repeating is a repeating decimal. 
4 0
3 years ago
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