Answer:
By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.
Assignment: 
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Answer: 
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Explanation: 
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[ Step One ] Remove Parenthesis (a) = a

[ Step Two ] Simplify Equations



[ Step Three ] Rewrite Equation

[ Step Four ] Add Similar Elements

[ Step Five ] Rewrite Equation

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I'll explain it simply for you
1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse

Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is

Then the right side which is

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26
a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side
26^2 = 676
Since they aren't equal it isn't a right angled triangle...
Then let
a=7.5
b=10
c=12.5
7.5^2 + 10^2
= 56.25 + 100
= 156.25
12.5^2 = 156.25
They are EQUAL
Therefore it is a right triangle too
Hopefully I helped
Answer: 41 vans will be needed.
Step-by-step explanation:
There are a total of 492 campers. We know that each van can hold a total of 12 passengers.
So, simply divide 492 by 12 to get the total amount of vans needed.
492/12 = 41 vans.
Pierre ran 19 and 13/20 miles.
Given:
marathon length : 26 2/10 miles
pierre's length ran : 3/4 of the way.
Multiply the fractions.
Convert the marathon length from a mixed fraction into a fraction.
26 2/10 = ((26*10)+2)/10 = (260+2)/10 = 262/10
262/10 * 3/4 = (262*3) / (10*4) = 786/40 = 19 26/40
19 26/40 simplified to 19 13/20 miles
26 ÷ 2 = 13
40 ÷ 2 = 20