We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12
When we plug this into 2z+6 we get 30 for the height
2(12)+6=30
Hope this helps
Store should sell about 31 bicycle for average price of $135 each bicycle.
Step-by-step explanation:
- To find bike we need Algebra to solve the equation.
- when x = 1 , Y = 135 *x
- When x 2 , Y = 135 *2
- Formula you could apply to go for break even y = 135*x
- Bicycle store pays about $4200
- Algebra used for every business and working to make easy task.
- It takes about 31 bicycle a month to get into break even.
- Every store needs break even to not incur lost.
- Break even point is equilibrium between income and expenses.
Answer is: 1/156 as a fraction
Multiply the numerators and denominators together:
-24/150
Divide the numerator and denominator by 6:
-24 / 6 = -4
150 / 6 = 25
-4/25
2 angles are complementary if the sum of their measures is 90°.
For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.
Thus A and B are complementary means that m(A)=m(B)=90°:
(3x+5°) + (2x-15°) =90°
5x-10°=90°
5x=100°
x=20°
Thus
m(A)=3x+5°=3* 20°+5°=60°+5°=65°
m(B)=2x-15°=2*20°-15°=40°-15°=25°
