You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.
The diagram shows that:
- Side AB = Side XY (sides with one tick mark)
- Side BC = Side YZ (sides with double tickmarks)
- Angle C = Angle Z (similar angle markers)
We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.
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So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.
Written just as an expression it would be:
15-5(p-6)
Answer:
discount amount=20%of mp
=240
now sp=mp-discount=1200-240=960
Answer:
Its C (Third Multiple Choice Answer)
Step-by-step explanation:
The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.
Math:
First
2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).
Then
2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms
Thirdly
(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]
will then turn into 8x = 16
Finally
By dividing 8 on both sides of the previous equation
8x / 8 = 16 / 8 equaling x = 2.
