Answer:
Step-by-step explanation:
<u>The correct one is given below:</u>
- 5 - 4w = - 17
<u>+5 + 5</u>
-<u> 4</u>w = <u>-12</u>
- 4 -4
w = 3
The error is 4w instead of - 4w
Answer:
Side-Side-Side (SSS) Congruence Property
Step-by-step explanation:
Congruence just means that two things are of the same size. For instance, if you have two congruent side lengths, they are the same length. In this picture, you can see that both triangles have a side with one dash and a side with two dashes. In geometry, to show that two lines are congruent you give them the same number of dashes, and therefore you know for sure that those two pairs of sides are congruent. Finally, the triangles share a side length, so you know that that side length is equal for them. Therefore, the appropriate congruence property here is SSS, since you know that three pairs of sides are congruent.
Answer:
x > 3
Step-by-step explanation:
2x+9<4x+3
or, 9-3<4x-2x
or, 6<2x
or, (6/2)<x
or, 3<x
or, x >3
The factors illustrate they the sides of the rectangles are:
- (x - 1)(x - 2)
- (2x - 3)(x + 2)
<h3>How to get the factors?</h3>
The first equation given is x² - 3x + 2.
= x² - 3x + 2.
= x² - x - 2x + 2
= x(x - 1) - 2(x - 1)
= (x - 1)(x - 2)
Therefore, the side lengths are (x - 1) and (x - 2).
In the rectangular figure, the length and width should be the expressions above.
The second equation given is 2x² + x - 6.
= 2x² + x - 6.
= 2x² + 4x - 3x - 6
= 2x(x + 2) - 3(x + 2)
= (2x - 3)(x + 2)
Therefore, the side lengths are (2x - 3) and (x + 2).
In the rectangular figure, the length and width should be the expressions above.
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