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.
Answer:
This can be expanded to x⁴ - 6x²
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
to evaluate substitute b = 18 into 3b
3b = 3 × 18 = 54
Given that the metal strip is being installed around a bench that 6ft long 2ft wide. The metal required will be given by:
P=4(L+W)
=4(6+2)
=4(8)
=32 ft
Therefore we conclude that we need a metal strip that is 32ft long
The total time taken by Clem Shirestock to reach the gate is given by the equation 7 = 4√(x²+1)+ 8 - 2 x
Let the point P is at a distance of x miles from the toll gate.
Hence when Clem reaches the point P he rows in the form of right angled triangle. and we know that the width of the river is 1 mile.
So by using Pythagoras Theorem we can infer that the distance covered by Clem is the hypotenuse which is equal to √(x²+1).
Time taken to complete this route is 4√(x²+1) .
Now he has only to walk 4-x distance along the river.
His speed is 2 mph
Time taken = 2(4-x) = 8-2x
Hence we can conclude that the total time is 7 hours. so the equation to represent this is 7 = 4√(x²+1)+ 8 - 2 x .
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