Which expression represents the phrase, "half the sum of 10 and a number"? 12x+10

Mathematics

1 answer:

Nonamiya [84]4 years ago

4 0

I think it is 12(10+x)

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Help, I’m stuck. Lol.

Darya [45]

Answer:

a. height = 12

b. area = 228

Step-by-step explanation:

a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that $a^2+b^2=c^2$ , where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into $c^2-b^2=a^2$ . $15^2=225, 9^2=81,$ and $225-81=\sqrt{144}$ =12. Therefore, the height of the parallelogram is $\boxed{12}$

b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and $19\cdot12=\boxed{228}$