Answer:
x = 13
Step-by-step explanation:
Here, we want to get the missing side
from what we have, the triangle is a right angled triangle
In this kind of triangle, the Pythagoras’ theorem works
The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides
We have this as;
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13
Answer:
here is your answer!!!
Step-by-step explanation:
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If you would like to know how many gallons of paint did Beth use, you can calculate this using the following steps:
1 jar ... 1 pint of paint
32 jars ... x pints of paint = ?
1 * x = 1 * 32
x = 32 pints of paint
1 gallon ... 8 pints
y gallons = ? ... 32 pints of paint
1 * 32 = 8 * y
32 = 8 * y /8
y = 32 / 8 = 4 gallons of paint
Result: Beth used 4 gallons of paint.
So, first of all you have to identify the two equations which are: y=7x-8 and y=5x-2. after identifying the two equation you can choose one of them to start with. I chose the first one and I'll use substitution method, which means I'll pug in numbers in the unknown variables to find the value of x. Y=7x-8, I'll substitute the value of y in the equation that I chose and plug in the value of the second equation. Y=7x-8 --> 5x-2=7x-8 (this is our new equation). After that I'll combine like terms. -2+8=7x-5x --> 6=2x --> 6/2=x --> 3=x. So x=3 and that's the answer using substitution method. If the two points are graphed, they will intersect at the point (3,13). To see where the intersection of the line we can use a calculator to make it faster. So we plug in the points of the two lines in the calculator we graph and find the intersection point.
