Answer:
Step-by-step explanation:
6 + y = 13
y = 7
Answer:
x = 6
Step-by-step explanation:
Since the triangle is equilateral then sides are congruent.
Equate any 2 sides and solve for x
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
JK = (13 × 6) + 5 = 78 + 5 = 83
KL = (17 × 6) - 19 = 102 - 19 = 83
JL = (8 × 6) + 35 = 48 + 35 = 83
ΔJKL is equilateral with side = 83
Answer:
x =3
Step-by-step explanation:
3(4x + 4) = 2(5x+9) - 12
First step is to open the brackets by multiplying. It becomes
3×4x + 3×4 = 2×5x + 2×9 -12
12x + 12 = 10x + 18 - 12
Collecting like terms on the right hand side and left hand side of the equation, it becomes
12x -10x = 18 -12 -12
2x = -6
Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes
2x = -6
x = -6/2 = -3
Checking
3(4×-3 + 4) = 2(5×-3+9) - 12
-24 = -12-12= -24
So x = -3
. x + (x + 2)≤166
. 2x+2≤166
. x≤83 - 1
. x≤82
. x=81
. 81+(81+2)=164; 164<166
answer: 81 and 83
