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Leto [7]
3 years ago
7

Which statements about the figure must be true? Select three options. A- Line segment A B is bisected by Line segment C D . B- L

ine segment C D is bisected by Line segment A B . C- AE = One-halfAB D- EF = One-halfED E- CE + EF = FD

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

C and E

Step-by-step explanation:

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A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
 W1²+16W1+60-W1²-4W1-300=0
 12W1-240=0
 W1=240/12
 W1=20 ft

 5. And the length is:

 L1=W1+4
 L1=20+4
 L1=24 ft
8 0
2 years ago
Please hurry<br><br> What is the surface area of the cylinder? Express the answer in terms of pi.
jeyben [28]
<h3> ♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula for surface area of a cylinder is:

2\pi rh + 2\pi r^2

The radius is half the diameter

radius = 8/2 = 4

Substitute the values in:

2\pi (4)(18) + 2\pi (4)^2

Solve it:

surface area = 176\pi

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

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5 0
3 years ago
Read 2 more answers
How do you grow your own equations
natita [175]
You can formulate your own equations by analyzing the given problem and its statements. You can do some illustrations so you can understand it better. Introduce some variables and the rest is algebra. For example:

An orange costs $2 while a banana costs $1.5. How many oranges and bananas do you have to buy such that the total cost would equal to $20. You bought a total of 12 fruits.

First, you have to introduce variables. Let 'x' be the number of oranges and 'y' be the number of bananas. One equation you can get from here is knowing the amount of total cost: 2x + 1.5y = 20. Then, the other equation would be knowing the amount of fruits: x+y=12. You have two unknowns and two equations. Hence, you can solve the problem. Solving them simultaneously, you would get that x=4 and y=8.
4 0
3 years ago
What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?
alisha [4.7K]

Answer:

8

Step-by-step explanation:

The given expression is "three less than the quotient of ten and a number, increased by six”

The quotient of ten and a number increased by six is translated into mathematical expression as:

\frac{10}{n}+6

Three less than the quotient of ten and a number, increased by six is

(\frac{10}{n}+6)-3

When we substitute n=2, we get:

(\frac{10}{2}+6)-3

Divide to get:

(5+6)-3

Add to get:

11-3

Subtract

8

4 0
3 years ago
I need help plz help
VashaNatasha [74]

twice as many cats (as) dogs.

c = 2d  [not true]

Three less than twice as many cats (as) dogs.

c = 2d - 3

210 combined,

c + d = 210

Subtracting,

-d = 2d - 3 - 210

-3d = -213

d = 71

Answer: 71

7 0
3 years ago
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