MATHEMATICS MIDDLE SCHOOL

Please help!!!Given the length of three sides of a triangle, which is a right triangle?
(1) 10,26,24
(2) 20,12,18
(3) 30,15,26
(4) 40,50,80

And also explain why it is the answer.

Answers

Answer 1
Answer: Pythagorean Theorem: a^2 + b^2 = c^2
c represents the longest side of the triangle
If the triangle is a right triangle, the Pythagorean theorem will be true.

(1) 10,24,26
10^2 + 24^2 = 676
26^2 = 676
10^2 + 24^2 = 26^2
Right Triangle

(2) 12,18,20
12^2 + 18^2 = 468
20^2 = 400
12^2 + 18^2 \neq 20^2
Not a right triangle

(3) 15,26,30
15^2 + 26^2 = 901
30^2 = 900
15^2 + 26^2 \neq 30^2
Not a right triangle

(4) 40,50,80
40^2 + 50^2 = 4100
80^2 = 6400
40^2+50^2 \neq 80^2
Not a right triangle

#1 is a right triangle

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Maya is driving 120 miles to her grandmother's house. She drives 35% of the distance before stopping for lunch. How far does she drive before lunch?

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

35% of 120 miles

= 42 miles

The distance traveled before stopping for lunch is 42 miles.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Requiredpercentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Totaldistance = 120 miles

She drives 35% of the distance before stopping for lunch.

This means,

35% of 120 miles

= 35/100 x 120

= 42 miles

The distance traveled before stopping for lunch is 42 miles.

Thus,

The distance traveled before stopping for lunch is 42 miles.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ2
She drives 35% of the time before lunch.

=  35%  of 120 miles.

= 35/100 * 120 .  Simply cancel off each zero at the bottom and top.

= 35/10 * 12 = 3.5 * 12 =  42.    Using your calculator.

So she drove 42 miles before lunch.

Fred paid $72 last week in gas for his car. If he used 56 gallons of gas. How much did he pay per gallon ?

Answers

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Answers

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Answers

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