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4 years ago

If angle 1 = angle 2 and angle 2 = angle 4, what property allows you to state that angle 1 = angle 4

Mathematics

1 answer:

Gnesinka [82]4 years ago

6 0

Answer:

Transitive Property

Step-by-step explanation:

You can use it for example: a = b. b = c. So a = c (Transitive Property).

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$V=1,000\ ft^{3}$

$r=16/2=8\ ft$ ----> the radius is half the diameter

substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

$95.68\ ft^{3}=95.68*7.5=718\ gal$

5 0

3 years ago

“The perimeter P of a triangle is equal to the sum of the lengths of sides a,b, and c”

Kryger [21]

Answer:

1. Write the addition of "a", "b" and "c".

2. The equation is: $P=a+b+c$

Step-by-step explanation:

You know that P represents the perimeter of the triangle and a, b and c represent the sides of the triangle.

By definition, the sum is the result of an addition. Therefore, the statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c”, indicates that the perimeter is obtained by adding the lengths of the sides of the triangle.

Knowing this, you can write the following equation:

$P=a+b+c$

5 0

3 years ago

What is the measure of TWX? PLEASE ANSWER ASAP

Romashka [77]

I am pretty sure it's 44 degrees.

6 0

3 years ago

..............................................................

Serhud [2]

Answer:

guilkhgvyulhjgbyljhuijlnjkb nklb hjkbi

u56

567

34rt

rtyhgvhwr

ftjn

i87

5fnuicseh7f8wiy4rg8h3y5tgbbhivrgbuutuuhhiugrbv

Step-by-step explanation:

5 0

3 years ago

Which is the rationalized form of the expression. A, B , C, or D?

grin007 [14]

Answer:

Step-by-step explanation:

Multiply the top and bottom, both by sqrtx-sqrt5. This is in order to rationalize the denominators.

You get answer C.

3 0

3 years ago