Answer:
The two triangles are related by angles, so the triangles are similar but not proven to be congruent.
Step-by-step explanation:
Because the triangles have the same angles, they are congruent. The definition of congruence is if you take a shape and scale it up or down (or keep it the same) therefore, they are congruent.
Hope this helped, have a nice day
EDIT: I screwed up, I thought it was supposed to be similar. These triangles are SIMILAR not congruent. The actual answer is they are related by AAA similarity but they are similar, but they are not proven to be congruent. Hope this clears it up, and sorry.
~cloud
Answer:
B
Step-by-step explanation:
Remove parentheses
-2x + 12 - 9 = 2 + 9 + 2x
Simplify -2x + 12 -9 to -2x + 3
-2x + 3 = 2 + 9 + 2x
Simplify 2 + 9 + 2x to 2x + 11
-2x + 3 = 2x + 11
Add 2x to both sides
3 = 2x + 11 + 2x
Simplify 2x + 11 +2x to 4x + 11
3 = 4x + 11
Subtract 11 from both sides
3 - 11 = 4x
Simplify 3 - 11 to - 8
-8 = 4x
Divide both sides by 4
-8/4 = x
Simplify 8/4 to 2
-2 = x
Switch sides
x = -2
Answer:
A = ≈4.17 ft²
Step-by-step explanation:
Even though the problem deals with shapes and area, we can use algebra to solve for the missing area of Square C. Gven the following formulas:
A (square) = s², where s = the measure of one side
A (rectangle) = l x w, where l = length and w = width
We can set up equations to solve for the side length of Square C to find the area. Since the area of Square A = 6 ft²:
A = 6 or 6 = s² so √6 = √s² or s = √6
So, the length of Rectangle B is √6 and the area = 5 ft², so we can solve for 'w', which is also the side length of Square C:
A = 5 ft² or 5 = l x w so 5 = √6w and w = 5/√6
Lastly, find the area of Square C:
A = s² or A = (5/√6)(5/√6) or area = ≈4.17 ft²