Answer:
SAS
Step-by-step explanation:
The two triangles share a side, so that would be reflexive to show that side is congruent. Also, keep in mind that all right angles are congruent! The picture already tells us that the two outer side are congruent. So in conclusion, the two angles are congruent by SAS.
Hope this helps! :)
Answer:
-
Step-by-step explanation:
Two negatives create a positive.
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The x- and y-intercepts are easily found:
<u><em>X-intercept</em></u>
Set y = 0 and divide by the coefficient of x.
-x +0 = 8
x = -8
__
<u><em>Y-intercept</em></u>
Set x = 0 and divide by the coefficient of y.
0 -2y = 8
y = -4
__
Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.
Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
Answer:
8
Step-by-step explanation:
5 1/4 =5.25
42/5.25 = 8
8×5.25 = 42
