Answer:
D. Reflexive Property
Explanation:
In order to prove that segment AB is congruent to segment ED, you need to first prove that triangle ACB is congruent to triangle ECD.
Reflexive property is not used as a reason to prove since no angles or segments are shared.
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Please give me brainliest if it is correct :)
Let s = the smaller one of the two.
Since they are consecutive, the second one is (s + 1)
Since they are natural numbers, they cannot be negative.
We know that s(s + 1) = s + (s + 1) + 155
So:
s(s + 1) = 2s + 156
s^2 + s = 2s + 156
s^2 - s - 156 = 0
(s - 13)(s + 12) = 0
From this, it looks like s can be either 13 or -12. But since it's a natural number, it cannot be negative. So, it is 13.
s was the smaller one. The larger one is s + 1 = 14
Check: 13*14=182=13+14+155
<h3>
Answers: Choice A and Choice E </h3>
Explanation:
The distributive property allows us to go from the original expression to choice A. We multiply the outer term 8 by each term inside the parenthesis.
In general, the distributive property is a(b+c) = ab+ac. Example: 2(3+4) = 2(3)+2(4) = 6+8 = 14.
After simplifying the expression in choice A, it leads directly to choice E. This is because 8(6x) = 48x and 8(9) = 72.
Side note: A common mistake students do is to multiply the outer term by only one of the terms inside the parenthesis, while forgetting about the other term inside. Choice B shows this mistake. It's possible your teacher put choice B in there as a trap/trick answer.
Answer:
It is A. 35. All you have to do is multiply 120 by .35
