Answer:
x = 16
Step-by-step explanation:
The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.
In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...
... m∠A +m∠B +m∠C = 180°
... (3x+6)° +50° +(9x -68)° = 180°
... 12x -12 = 180 . . . . . divide by °, collect terms
... x -1 = 15 . . . . . . . . . .divide by the coefficient of x
... x = 16 . . . . . . . . . . . add 1
_____
<em>Check</em>
m∠A = (3x+6)° = 54°
m∠C = (9x -68)° = 76°
The total of angles is 54° +50° +76° = 180°. . . . . as it should be
Answer:
370
Step-by-step explanation:
50 + x = 420
x = 420 - 50
x = 370
3/4(x+21) = 10.5
0.75x+15.75 = 10.5
0.75x = -5.25
x = -7
Hope it helps : )
Answer:
120 in
Step-by-step explanation:
(5 in * 12 in)/2 = 30 in
30 in * 4 = 120 in
I hope that helps :D