Answer:
x = 4
y = 4
Step-by-step explanation:
the front triangle has two 40° angles (sum of all ∡'s must be 180°)
the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°
therefore, 10y = 40 so y = 4
Since opposite angles in a parallelogram are congruent then we can write:
40° + 25x° = 100° + 10(4)°
25x° = 140 - 40°
25x = 100°
x = 4
Okay. So 90 yds was cut from the 230 yd yarn. 230 - 90 = 140. 1/2 of 140 is 70. 230 - 70 = 160. The yellow yarn was 160 yds longer than the blue yarn at first.
Answer:
the answer will be 30 mikes per hour
Step-by-step explanation:
The period of the function can be calculated using <span><span><span>2π</span><span>|b|</span></span><span><span>2π</span><span>|b|</span></span></span>.Period: <span><span><span>2π</span><span>|b|</span></span><span><span>2π</span><span>|b|</span></span></span>Replace <span>bb</span> with <span>11</span> in the formula for period.Period: <span><span><span>2π</span><span>|1|</span></span></span>
Answer:
C. 1.5w^2 + 7.5w + 9
Step-by-step explanation:
Without frame:
The width is w. The height is 1.5w.
With frame:
The width is w + 1.5 + 1.5 = w + 3
The height is 1.5w + 1.5 + 1.5 = 1.5w + 3
The area of the framed portrait is height * width
area = (1.5w + 3)(w + 3)
area = 1.5w^2 + 4.5w + 3w + 9
area = 1.5w^2 + 7.5w + 9
