Create a system of equations
x + y = 123
5x + y = 343
I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55
Plug in
x + y = 123
55 + y = 123
y = 68
Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
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Answer:
C - 3,600
Step-by-step explanation:
100 16 45 ÷ 2
50. 8. 45 ÷ 2
25. 4. 45 ÷ 2
25. 2. 45. ÷ 2
25. 1. 45. ÷ 3
25. 1. 15. ÷ 3
25. 1. 5. ÷ 5
5. 1. 1. ÷ 5
1. 1. 1
L.C.M = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3, 600
I know this may be confusing but if you don't understand, you're welcome to ask.
Step-by-step explanation:
incone tax means the money u get as income from tax and tax payable is the tax needed to be to payed