Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
Answer:
187 units²
Step-by-step explanation:
break the figure into two rectangles
one 16 by 7 , the other 25 by 3
a = (16 * 7) + (25 * 3)
a = 187
Answer:
m<6=77°
Step-by-step explanation:
Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that
3x+5°+4x+7°=180°
7x+12°=180°
7x=168°
x=24°
Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:
<6=24*3+5
<6=77°
Answer:
the plane is traveling with a speed of 156.44mph
Step-by-step explanation:
Find the attached explanation.
Answer:
Step-by-step explanation:
<u>Use cosine:</u>
- cos = adjacent / hypotenuse
- cos ∠L = KL/JL
- cos 21° = 4/x
- x = 4 / cos 21°
- x = 4.3 (rounded)
