Answer:
72-18=54
Step-by-step explanation:
Do good!
9514 1404 393
Answer:
(b) angle FOA
(c) angle EOA
(d) angle AOH
Step-by-step explanation:
(b) The rays of vertical angles are opposites that form intersecting lines.
The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.
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(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.
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(d) Similarly, the supplement to angle BOH is angle AOH.
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<em>Comment on supplementary angles</em>
Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.
Answer:
5
Step-by-step explanation:
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of 
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by 
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
