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Liula [17]
3 years ago
15

Line l bisects PQ at point M. Find value of X

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

x = \frac{18}{7}

Step-by-step explanation:

Since l bisects PQ at M then M is the midpoint of PQ, hence

PM = MQ, that is

5x - 7 = 11 - 2x ( add 2x to both sides )

7x - 7 = 11 ( add 7 to both sides )

7x = 18 ( divide both sides by 7 )

x = \frac{18}{7}

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Stephen makes wooden shelves for his room he starts with a board that is 20 feet long.Stephen wants to make the shelves 3/4 foot
jek_recluse [69]

The number of shelves stephen can make is approximately 27

<h3><u>Solution:</u></h3>

Given that Stephen makes wooden shelves for his room

Stephen wants to make the shelves 3/4 foot long

He starts with a board that is 20 feet long

To find: number of shelves he can make

So the number of shelves stephen can make can make is found out by dividing 20 feet long board by 3/4 foot long

\text {number of shelves }=\frac{\text { total length of board stephen has }}{\text { length of each board }}

\text {number of shelves }=\frac{20}{3 / 4}=\frac{20}{0.75}=26.6

So the number of shelves stephen can make is approximately 27

3 0
3 years ago
How many arrangements of three letter can be formed from the letters of the word MATH if anyletter will not be used more than on
Mariulka [41]

Combinations = n! / (n - r)! r!

C\text{ = }\frac{n!}{(n-r)!\text{ r!}}\text{ }

In this case:

n = 4

r = 3

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Answer:

4 arrangements

7 0
1 year ago
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3 years ago
ABCD is a quadrilateral inscribed in a circle, as shown below:
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Answer:

Option 4: <u>(2x + 16)° + (x)° = 180°</u>

Step-by-step explanation:

See the attached figure.

For a quadrilateral inscribed in a circle

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So, ∠D + ∠B = 180°

From the figure:

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∴  <u>(2x + 16)° + (x)° = 180°</u>

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2 years ago
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3 years ago
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