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Ksivusya [100]
4 years ago
11

A triangle has sides lengths of 9 cm, 12 cm, and 15 cm.

Mathematics
1 answer:
Sever21 [200]4 years ago
8 0

Answer:

  • Yes it is a right triangle
  • The side lengths satisfy the Pythagorean theorem equation

Step-by-step explanation:

We can test these numbers to see if they satisfy the Pythagorean theorem equation:

  15² = 9² + 12²

  225 = 81 + 144 . . . . true

Since the numbers satisy the Pythagorean theorem relation, they belong to a right triangle.

____

You can recognize that the ratio of side lengths is ...

  9 : 12 : 15 = 3 : 4 : 5

Further, you can recognize that the side lengths 3, 4, 5 belong to the right triangle with the smallest integer side lengths that satisfy the Pythagorean theorem. Hence the 9 : 12 : 15 triangle is similar (by a scale factor of 3) to a right triangle, thus is a right triangle.

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akash's salary in 2014 was 25% more than that of 2013,then his previous salary was what % of present salary
marishachu [46]

Answer:

80%

Step-by-step explanation:

Focus on the important parts of the problem:

The present salary is 25% more than the previous salary.

previous = % of present ?

<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.

100 = % of present

Present salary is $100 increased by 25%.

$100 X 1.25 = $125

100 = % of 125

Solve this in decimal form (convert it to a percentage later).

Let x be the percentage in decimal form.

100 = 125x

100/125 = x    Isolate "x" by dividing by sides by 125

x = 0.80

Convert 0.80 to percentage by multiplying by 100.

0.80 X 100 = 80%

When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.

Since his previous salary was less than his present salary, this answer makes sense.

Therefore his previous salary was 80% of his present salary.

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3 years ago
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A word problem for -100 divided by 4
bagirrra123 [75]
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4 0
4 years ago
Refer to the map shown in Exercise 2. If m∠1 is 64˚, what is the measure of ∠2?
zmey [24]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll assume m∠1 and m∠2 are complementary angles. Angles that add up to 90° are called complementary angles. In this case, we know m∠1 and want to know m∠2. Thus, we can establish the following formula:

m∠1 + m∠2 = 90°

Isolating m∠2:

m∠2 = 90° -  m∠1

m∠2 = 90° -  64

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5 0
3 years ago
Evaluate the expression.
Advocard [28]
Hello :)
When y=3
2(3+2)=12

When y=8
2(8+2)=20

When y=-4
2(-4+2)=-4

When y=10
2(10+2)=24

When y=2
2(2+2)=8



8 0
3 years ago
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Buys 5 apples for 2.60 dollars how much does one apple cost
scoray [572]

Answer:

One apple cost $0.52.

Step-by-step explanation:

$2.60/5 = $0.52

$0.52 * 5 = $2.60

5 0
3 years ago
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