Answer:
12 ft
Step-by-step explanation:
It is sometimes helpful to start from what you are given and see what develops.
Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:
- ΔALC is a 30°-60°-90° triangle, so you know its side ratios
- ∠LAB = 30°, so ΔALB is isosceles and AL = LB
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.
AL = 2 × (6 ft) = 12 ft
We know that AL = LB, so LB = 12 ft.
I think the answer to this problem is 123.3
Answer is 21.7%
Find difference in price:
182,500 - 149,950 = $32,550
Divide difference by original price:
32,550/149,950 x 100 = 21.71%
All of our equations are in slope-intercept form. Slope-intercept form is y=mx+b. m stands for the slope, and b stands for the y-intercept. Our y-intercept is 3. Therefore, we can eliminate the equations that say the y-intercept isn’t b. Next, we can find the slope. We have the points (0, 3) and (3, 2). The formula for slope is y2-y1/x2-x1. 2-3 is -1, 3-0 is 3. Our slope is -1/3. After eliminating those without the y-intercept, we have A or D. We know that the slope is -1/3, so the answer must be D.
