Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
Answer:
D
Step-by-step explanation:
YEA I THINK ITS 4 WHAT HE SAID ABOVE ME
A,C,E
you should check that the second number is more than 7 and if you multiply the first number by 2 you will get less than the second number.
Answer:
Step-by-step explanation:
Notice that KL = LM and PQ = QR since OL and OQ are perpendicular to both KM and PR.
It follows that QR = (1/2) PR = 20 cm. We also know that MR = 21.
Now in order to solve the problem we just need OQ=OL
Therefore the perimeter of the pentagon is
