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To find the missing side length of each triangle, use the pythagorean theorem. The theorem is $a^2 + b^2 = c^2$ where a, b, and c are all side lengths of the triangle. a is the smallest lef and b is the other leg while c is always the hypotenuse or longest side.

In d, you'll use it twice to find the missing measure. First use it when a = 12 and b = 20. So you'll have:

$12^2 + 20^2 = c^2\\144 + 400 = c^2\\544 = c^2\\\sqrt{544} = c\\ 23.32 = c$

Repeat the same process using a = 9 and c = 23.32. Then solve for the b value.

$9^2 + b^2 = 23.32^2\\81 + b^2 = 544\\b^2 = 544 - 81\\b^2 = 463\\b = \sqrt{463} \\b = 21.5$

4 0

3 years ago

Find the value of 7 + 32 (-5 + 1) ÷ 2.

vampirchik [111]

The answer is -57
7+32(-4)/2
7+-128/2
7+-64
-57

8 0

2 years ago

Read 2 more answers

Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires four and four fifths pounds of chicke

Margarita [4]

Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

$\frac{4.8}{4} = 1.2 \: pounds \: of \: chicken$

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Thanks!

7 0

1 year ago

Need help with this!!!!!!!!

zzz [600]

The linear combination method is the same as the elimination method. Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of $2x-3y=13$ and $-2x-4y=8$ . The x-terms cancel each other out giving us $-7y=21$ and y = -3. Now sub -3 into one of the equations to solve for x. x+2(-3)=-4, and x - 6 = -4. x = 2. So the solution for our system is (2, -3)

4 0

3 years ago