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:
the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Step-by-step explanation:
Answer:
126.4 cm
Step-by-step explanation:
1. 15.8 * 3 = 47.4 (This is the length)
2. Find half of the rectangle
47.4 + 15.8 (width) = 63.2
3. Find the whole perimeter
63.2 * 2 = 126.4
Answer: 23.1, 231/10, or 23 1/10
Step by step explanation:
33.65/1.5 - divide the terms
23.1
Answer:
4m3+18m2−34m+12
Step-by-step explanation:
=(4m+−2)(m2+5m+−6)
=(4m)(m2)+(4m)(5m)+(4m)(−6)+(−2)(m2)+(−2)(5m)+(−2)(−6)
=4m3+20m2−24m−2m2−10m+12
