Use the formula for finding axis of symmetry:
-b -25 -25
x = ------ ⇒ --------- = -------- = 2.6
2a 2(-4.9) -9.8
Answer:
The two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
Step-by-step explanation:
Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.
Here, as we can ΔABC goes under Rigid Transformation in to the ΔA'B'C'
⇒Sides AB, BC and AC correspond to the sides A'B',B'C' and A'C' respectively.
Also the ∠A, ∠B and∠C correspond to ∠A', ∠B' and∠C' respectively.
Now, in ΔABC and ΔA'B'C
AB = A'B'
BC = B' C'
AC = A'C'
⇒The two given triangles are congruent by SIDE SIDE SIDE property.
Also, ∠A = ∠A'
∠B = ∠B'
⇒The two given triangles are congruent by ANGLE ANGLE property.
Hence the two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.
Add like terms on the same side:
-10 + 8x = -56
Add ten to both sides
-10 + 8x + 10 = -56 +10
Simplify:
8x = -46
Divide both side by 8
8x/8 = -46/8
Simplify
x = - 5.75
The answer is x = -5.75
(The answer can also be written as -23/4 or -5 3/4)
Answer:
True
Step-by-step explanation:
We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!
Answer:
27x +6
Step-by-step explanation:
3(7x+2)+6x
Distribute
21x+6 +6x
Combine like terms
27x +6
