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Oxana [17]
3 years ago
6

Why is angle 1 congruent with angle C In the diagram?

Mathematics
1 answer:
galben [10]3 years ago
8 0
Answer: They are vertical angles.

you are correct!
i had this lesson a few days ago
vertical angles are congruent
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The ratio of boys to girls in a classroom is 5:6. If there are 55 students in total, how many more girls are there than boys?
KATRIN_1 [288]

Answer: there are 5 more girls than boys.

Step-by-step explanation:

The ratio of boys to girls in a classroom is 5:6. The total ratio is the sum of the proportion. It becomes 5 + 6 = 11

If there are 55 students in total, it means that the number of boys in the class is

5/11 × 55 = 25 boys

Also, the number of girls in the class is

6/11 × 55 = 30 girls

Therefore, the difference between the number of girls and boys in the class is

30 - 25 = 5 girls

4 0
3 years ago
From $90 to $39.<br> What is the percent of change? (round to nearest WHOLE percent)
DENIUS [597]
The percentage would be 51% but if you want to round it the answer is 50%
7 0
3 years ago
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You buy a package of 12 pencils for $2.64 write this rate as a unit rate?
iogann1982 [59]
Unit rate means how much does it cost for 1 unit

2.64 for 12 pencils
find 1 pencil
divide both sides by 12
0.22 for 1 pencil

0.22 per pencil
3 0
3 years ago
You are in charge of managing the advertising for a restaurant. You are able to buy up to 62 advertisements a month, and your da
erik [133]

Answer:

Greatest number of newspaper ads = 59

Greatest number of television ads = 23

Step-by-step explanation:

It is given that we should buy at least 5 newspapers for every 3 television ads.

So, after purchasing 3 television ads, we can buy any number of television ads but the number should be greater than 5.

Since, the maximum is 62, we can buy 59 newspaper ads. (Note that we have already bought 3 television ads).

For every 3 television ads, we should buy 5 newspaper ads. So,

For the purchase of 3 television ads, we should buy the minimum of 5 newspaper ads.

For the purchase of 2(3) television ads, we should buy the minimum of 2(5) newspaper ads.

For the purchase of 3(3) television ads, we should buy the minimum of 3(5) newspaper ads.

...

...

For the purchase of 7(3) = 21 television ads, we should buy the minimum of 7(5) = 35 newspaper ads.

So, totally 21+35 = 56 ads.

For the remaining 6 ads, if we buy 3 television ads, we should buy 5 newspaper ads.

So, we can buy 2 television ads and 4 newspaper ads.

Hence, we can buy the maximum of 21+2 = 23 television ads.

7 0
3 years ago
Read 2 more answers
Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister. You must in
Oxana [17]

Answer:

17, 19 and 21

Step-by-step explanation:

Consecutive odd numbers mean odd numbers that are right next to each other.

Eg: 3, 5, 7

Let x represent the youngest sister. The sister older than her will be 2 years older than her, hence (2 + x). The oldest sister would be 4 years older than the youngest and two years older than the middle sister, hence (4 + x).

The sum of their age = 57.

Hence:

x + (2 + x) + (4 + x) = 57

x + 2 + x + 4 + x = 57

Simplify

3x + 6 = 57

Rearrange

3x = 57 - 6

3x = 51

Divide both sides by 3 to make x on its own (this way we can find the age of the youngest sister).

x = 17 (youngest sister is 17 years old)

x + 2 = 19 (middle sister is 19 years old)

x + 4 = 21 (oldest sister is 21 years old)

4 0
2 years ago
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