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<u>hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>you</u>
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.
A. the discount is 7.5
B. the price is 17.5
C. the tax will be 1.5 on the original price
D. 25+ 1.5=26.5
good luck
9. Which of the following is a mental benefit of exercise
Answer:
So since QRS is ~ another triangle, and they are not exactly similar, I assume that the problem wants you to compare QRS with another angle. QRS is closely congruent to UVW (assuming that you are comparing triangles not angles).
Step-by-step explanation:
All triangles have an angle total of 180 degrees. If you add those two angles together, they have the same sum, and the third anglecan be found by subtracting the total from 180. For example, 95+36 = 131. 180-131=49, which is the third angle for triangle QRS. You can do the same for UVW.
It is important to compare them in order. For instance, Triangle QRS would not be congruent to WVU since they are not in the same order. To compare them in the correct order, compare the angles. Q is about equal to U. R is about equal to V. S is about equal to W since they both have missing angles. Therefore, you can state that triangle QRS is about equal to UVW.