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
(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
To draw the 2 dimensional representation, we just "open" the box and flatten it. Once we have it opened, we find the area of each side and add them up for the total surface area. See the pic. Let me know if you have questions. :)
Answer: 5
Step-by-step explanation:
Given: Melissa exercises for 20 minutes every day.
She decides to increase her daily exercise time by 5 minutes each week.
Let x be the number of weeks can Melissa increase her exercise time this way.
Then according to the question, we have the inequality as :_
Hence, the number of weeks can Melissa increase her exercise time this way = 5.