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Andreyy89
3 years ago
5

Find the missing angle.​

Mathematics
2 answers:
Rus_ich [418]3 years ago
7 0

Answer:

x = 142

Step-by-step explanation:

they're congruent because they're vertical angles

notsponge [240]3 years ago
3 0

Answer:

142°

Step-by-step explanation:

They're vertical angles. they have the same measure

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4 years ago
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45% of the population of a city are men
leonid [27]

Answer:

\boxed{\textsf{ The number of children is \textbf{24150}.}}

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% .

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}

\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}

\rule{200}2

<u>The </u><u>percentage</u><u> of</u><u> </u><u>children </u><u>=</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>:</u><u>-</u>

\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}

5 0
3 years ago
Ms. Allen asked each of her 30 students to select their favorite type of music. How many students chose Rock 1/3 chose hip hop 1
dalvyx [7]

Answer: 14

Step-by-step explanation:

Fraction that choose hip hop= 1/3

Fraction that choose rap = 1/5

Fraction that choose rock will be:

= 1 - (1/3 + 1/5)

= 1 - (5/15 + 3/15)

= 1 - 8/15

= 7/15

Number of students that choose rock will be:

= 7/15 × 30

= 7 × 2

= 14 students

We then multi

5 0
3 years ago
The ratio of students who play musical instruments to students who play sports is 3:20. if there are 40 students who play sports
melomori [17]

Based on the ratio, 6 students play musical instruments.

The mentioned problem can be solved using the concept of ratio and proportion. We will equate the two ratio. Let us assume the number of students who play musical instruments be x.

Forming the equation -

3 : 20 = x : 40

Rewriting the equation with respect to x

x = (40 × 3) ÷ 20

Performing multiplication and division on Right Hand Side of the equation

x = 120 ÷ 20

Performing division on Right Hand Side of the equation

x = 6

Therefore, 6 students play musical instruments.

Learn more about ratio and proportion -

brainly.com/question/19994681

#SPJ4

8 0
1 year ago
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Step-by-step explanation:

Lets first understand what each of these properties are.

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Problem 1

This is an example of the additive inverse property because -2 + 2 = 0.

Problem 2

This is an example of the associative property because the numbers are grouped differently, but still equal each other.

Problem 3

This is an example of the commutative property because the numbers are arranged differently but still equal each other.

4 0
3 years ago
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