Answer:
<u>The value of x is 11 and CE = 40 and AC = 60</u>
Step-by-step explanation:
Δ ΑΒC ≅ Δ EDS, therefore we have that:
24 / 36 = 3x + 7 / 6x - 6
Solving for x,
24 * (6x -6) = 36 * (3x + 7)
144x - 144 = 108x + 252
144x - 108x = 252 + 144
36x = 396
x = 396/36
x = 11 ⇒ 3x + 7 = 33 + 7 = 40; ⇒ 6x - 6 = 66 - 6 = 60
<u>The value of x is 11 and CE = 40 and AC = 60</u>
Answer:
B
Step-by-step explanation:
you can't have 143
but you also have toe have less
so < 143
(2) + (2)
=> 8x - 6y = -46 ———(3)
(1) + (3)
=> 5x + 6y + (8x - 6y) = 20 - 46
=> 13x + (6-6)y = -26
=> 13x + 0y = -26
=> 13x = -26
=> x = -26/13
=> x = -2
=> 5(-2) + 6y = 20
=> 6y = 20 + 10
=> 6y = 30
=> y = 5
x = -2, y = 5 => C
Answer:
x would equal -11 or 13
Step-by-step Explanation:
x(x - 2) - 143 = 0
x^2 - 2x - 143 = 0
-2x + x^2 = 143
-143 + (-2x) + x^2 = 0
(x - 13)(x + 11)
x - 13 = 0
Add 13 to both sides
x = 13
x + 11 = 0
Subtract 11 from both sides
x = -11
Answer:
$189
Step-by-step explanation:
Let their total amount of spending money be x
given that $135 they spent is 5/7 of their total spending money,
mathematically:
135 = (5/7) x (multiply both sides by 7)
135 (7) = 5x
945 = 5x
5x = 945 (divide both sides by 5)
x = 945 / 5
x = 189
