If you just factor the original polynomial(The area) then you will find that one of the factors is c-2(the length) and the other will be the width.
When I factored it, I got 2c+3 as the width.
:)
Answer:
The correct option is B.
Step-by-step explanation:
From the given figure it is nices that the length of sides AB, BC and AC are 20, 22 and 35. The line AD is angle bisector.
Let the missing value be x.
The Triangle Angle Bisector Theorem states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
Since AD is angle bisector, therefore
![\frac{AB}{AC}=\frac{BD}{CD}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAC%7D%3D%5Cfrac%7BBD%7D%7BCD%7D)
![\frac{20}{35}=\frac{22-x}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B35%7D%3D%5Cfrac%7B22-x%7D%7Bx%7D)
![20x=35(22-x)](https://tex.z-dn.net/?f=20x%3D35%2822-x%29)
![20x=770-35x](https://tex.z-dn.net/?f=20x%3D770-35x)
Add 35x both sides.
![55x=770](https://tex.z-dn.net/?f=55x%3D770)
Divide both sides by 55.
![x=\frac{770}{55}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B770%7D%7B55%7D)
![x=14](https://tex.z-dn.net/?f=x%3D14)
Therefore, second option is correct.
Answer:
Car: 18.4% Other: 4.9%
Step-by-step explanation:
Glenn family yearly total expenses are
![\$8,600+\$4,800+\$5,400+\$2,400+\$7,000+\$1,800=\$30,000](https://tex.z-dn.net/?f=%5C%248%2C600%2B%5C%244%2C800%2B%5C%245%2C400%2B%5C%242%2C400%2B%5C%247%2C000%2B%5C%241%2C800%3D%5C%2430%2C000)
Other expenses are $7,000.
The payments for the new car are: $375.00 per month and the insurance for the new car $85.00 per month, in total, $460 per month. Yearly expenses for car are
![\$460\cdot 12=\$5,520](https://tex.z-dn.net/?f=%5C%24460%5Ccdot%2012%3D%5C%245%2C520)
Now, the expenses for the following two categories are
Car - $5,520
Other - $7,000 - $5,520 = $1,480
Percentage:
Car:
![\dfrac{5,520}{30,000}\cdot 100\%=18.4\%](https://tex.z-dn.net/?f=%5Cdfrac%7B5%2C520%7D%7B30%2C000%7D%5Ccdot%20100%5C%25%3D18.4%5C%25)
Other
![\dfrac{1,480}{30,000}\cdot 100\%\approx 4.93\%](https://tex.z-dn.net/?f=%5Cdfrac%7B1%2C480%7D%7B30%2C000%7D%5Ccdot%20100%5C%25%5Capprox%204.93%5C%25)
Answer:
the first answer
Step-by-step explanation:
Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.
Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in
Thus, the length of the segment is approximately 8.36 in. </span>