The answer to the question
(x/2)+7=10
More= plus
quotient=division
is=equal
Answer:
d. 21.5
Step-by-step explanation:
To find the missing side length of each triangle, use the pythagorean theorem. The theorem is
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](https://tex.z-dn.net/?f=12%5E2%20%2B%2020%5E2%20%3D%20c%5E2%5C%5C144%20%2B%20400%20%3D%20c%5E2%5C%5C544%20%3D%20c%5E2%5C%5C%5Csqrt%7B544%7D%20%3D%20c%5C%5C%2023.32%20%3D%20c)
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](https://tex.z-dn.net/?f=9%5E2%20%2B%20b%5E2%20%3D%2023.32%5E2%5C%5C81%20%2B%20b%5E2%20%3D%20544%5C%5Cb%5E2%20%3D%20544%20-%2081%5C%5Cb%5E2%20%3D%20463%5C%5Cb%20%3D%20%5Csqrt%7B463%7D%20%5C%5Cb%20%3D%2021.5)
12/16, 7/16, 10/16 (not simplified, just with LCD);The LCD of the 3 fractions is 16 (from denominators) so all we have to do is multiply both the numerator by the same number that multiplies with the denominators to get 16. We leave 7/16 alone since it already has denominator of 16.
3/4 * 4 = 12/16
5/8 * 2 = 10/16