The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.
9/y = y/16
y^2 = 9 * 16
y^2 = 144
y = 12
9^2 + 12^2 = x^2
x^2 = 225
x = 15
12^2 + 16^2 = z^2
z^2 = 400
z = 20
From left to right, the sides measure 15, 12, and 20 units.
Answer:
figure 3
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2x + 3x + 4x = 36
Evaluate like terms.
9x = 36
Find x.
x = 36 ÷ 9
x = 4
Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
Answer: 5 times
Step-by-step explanation:
Let the number of times that he saved $75 be x.
Let the number of times that he saved $150 be y.
Therefore, based on the information given in the question, we can form an equation which will be:
x + y = 8 ...... i
75x + 150y = 825 ....... ii
From equation I,
x + y = 8
y = 8 - x....... iiii
Put equation iii into ii and this will be:
75x + 150y = 825
75x + 150(8 - x) = 825
75x + 1200 - 150x = 825
75x - 150x = 825 - 1200
-75x = -375
x = 375/75
x = 5
He saved $75 5times from his paycheck.
