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3 years ago

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Given the diagram below, Rachel writes m4 + m5 + m6 = 540degrees - 180degrees. Which of the following reasons allows her to writ

e this statement?

2 answers:

cricket20 [7]3 years ago

6 0

Subtraction properties of equality I believe

Ray Of Light [21]3 years ago

5 0

Subtraction property of equality

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On Saturday, 45% of the music Brianna listened to was country songs. She listened

storchak [24]

Brianna listen 60 songs on Saturday !

<u>Step-by-step explanation:</u>

Here we have , On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday. How many songs did Brianna listen to on Saturday .Let's find out:

Let Brianna listens x songs ! So , 45% of x songs is 27 songs , i.e. On Saturday, 45% of the music Brianna listened to was country songs. She listened to 27 country songs on Saturday as :

⇒ $\frac{45(x)}{100} =27$

⇒ $\frac{45(x)}{100}(\frac{100}{45}) =27(\frac{100}{45})$

⇒ $x =27(\frac{100}{45})$

⇒ $x =\frac{2700}{45}$

⇒ $x =60$

Therefore , Brianna listen 60 songs on Saturday !

8 0

3 years ago

A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise

Sophie [7]

Jim is correct because the ratios need to compare with the total amount of people surveyed. 55, 80, and 65 are numbers that don't fit in and don't tell the overall ratio. You can tell this by writing it as a fraction.
Ex: 35:100 = 35/100. This literally means 35 out of 100 people exercise in the morning.

Hope this helps! If you have any questions, just ask!

4 0

3 years ago

Read 2 more answers

There are 82 trees at a park. Half of the trees are pecan trees and the

Marrrta [24]

Answer:

41 oak tree

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!

lorasvet [3.4K]

Answer:

2/3

Step-by-step explanation:

DEFG ~ D'E'F'G'

$\frac{D'G'}{DG}$ = $\frac{2}{3}$

8 0

3 years ago

Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0

3 years ago