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For the triangles just use the equation a^2 + b^2 = c^2. c is the hypotenuse and a and b are the other two sides. if you have at least 2 of the sides you can change the equation to find the other side. Now for the second shape (the weird rectangle-triangle thingy) you just have to do 17-11= 6 witch gives you a. B is already given to you b = 8, so all you have to do is 6^2 + 8^2 witch is 100 then you can square root it with becomes 10. so your x = 10 for that shape.

Step-by-step explanation

You should use a^2 + b^2 = c^2 for the Pythagorean Theorem.

Lets try #1:

5^2 + 12^2 = c^2

That being said, c is for x

5 * 5 + 12 * 12 = 25 + 144 = 169

√169 = c^2

c = 13

So, #1 is x = 13.

Now, you try doing the other problems using the formula.

For #4 use the Pythagorean Theorem twice to find x and y.

Hope this Helped you solve the problem!!

If you need more help you can comment

~A̷l̷i̷s̷h̷e̷a̷♡

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)