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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!!

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step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.