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2 years ago

Please help me out

Mathematics

1 answer:

shutvik [7]2 years ago

4 0

Answer:

18: 3/4

19: 5/8

20: 1/2

21: 9/10

22: 2/3

23: 5/6

24: 4/9

25: 2/7

26: 3/4

27: 7/10

28: 4/5 (I'm in a rush, so make sure to double check the answers)

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exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

2 years ago

Solve the problem below: 624+ 34+ 312+ 85=

viktelen [127]

1055 is what i got. have a good day!

7 0

2 years ago

Describe how you can use the make a ten strategy to find the sum 7+9

kondor19780726 [428]

I don't quite understand the ten strategy, or what EXACTLY you're asking. But, what you can do is when you add a one digit number plus a nine, just change the nine to a ten and subtract one. It is very easy. So, 7+10 equals 17, subtract one and you get 16 which is 7+9. It is always one less than anything plus 10.

3 0

3 years ago

a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons

Brilliant_brown [7]

Answer: 30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

7 0

2 years ago

Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Who earned th

Llana [10]

Liz scored higher.

Step-by-step explanation:

Given,

Correct answers by Austin = 92%

Total questions = 50

Correctly answered by Liz = 47

Percent of Liz's correct answers = $\frac{Correct\ answers}{Total\ questions}*100$

Percent of Liz's correct answers = $\frac{47}{50}*100$

Percent of Liz's correct answers = $\frac{4700}{50} = 94\%$

As 94% is higher than 92%, therefore;

Liz scored higher.

Keywords: percent, division

Learn more about division at:

#LearnwithBrainly

3 0

2 years ago

Please help me out ​

Please help me out