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Rama09 [41]
3 years ago
5

Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line

A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements.
Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Step-by-step explanation:

If Point B lies between points A and C on line segment AC, then the formula is true AB+BC = AC

Given

AB = x inches'

AC = 20 inches

BC = 3x

Substituting the given parameters into the formula AB+BC = AC

x + 3x = 20

4x = 20

Divide both side by 4

4x/4 = 20/4

x = 5

Since x = 5 inches, hence the segment AB id 5 inches.

Given BC = 3x

BC = 3(5)

BC = 15 inches

This means that the space between points A and B is labeled 5 inches while the space between points B and C is labeled 15 inches.

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3 Questions Math! HELP!!!
Sveta_85 [38]
1) Since the larger number is a negative, you’re going to get a negative solution for number one. An easy way to do the math is to ignore the negative sign in (-116) For a moment. And subtract 56 from it.
116 - 56 = 60. Don’t forget to place the negative sign we pushed to this side before the solution. The answer is -60.

2) We do the same thing we did in number one, but with new numbers. The answer in total is -178.

3. As stated, we do the same thing we did in number one. Just because there’s a decimal doesn’t change much. And your answer would be -1.1
8 0
4 years ago
Read 2 more answers
1. The diameter of a sphere is 21.6 cm. The volume of the sphere is __
sveta [45]
Detailed Answers:

Volume of a Sphere (V) = 4/3 πr^3

1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79

Volume (V) = 5278.79 cm^3

2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52

Volume (V) = 2145.52 cm^3

3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14

Volume (V) = 7241.14 cm^3

4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14

Volume (V) = 113.14 cm^3
6 0
2 years ago
Read 2 more answers
PLEASE HELP!!!<br> Find MG.<br> ∆EGF~∆EML.
stiv31 [10]

Answer:

MG=56\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

∆EGF~∆EML

so

\frac{EG}{EM}=\frac{EF}{EL}

substitute the given values

\frac{5x+2}{16}=\frac{126}{28}

solve for x

5x+2=\frac{126}{28}(16)

5x+2=72\\5x=70\\x=14

EG=5x+2=5(14)+2=72\ units

step 2

Find MG

we know that

MG=EG-EM

substitute

MG=72-16=56\ units

3 0
3 years ago
(6g)^3<br> Simplify the expression.
icang [17]
216g^3

Hope this helps
8 0
3 years ago
In 56 years, Kevin will be 9 times as he is right now. How old is he right now?
hammer [34]

that would mean he's 7 right now

3 0
3 years ago
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