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
Answer:
28°
Step-by-step explanation:
You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.
Answer:
50%
Step-by-step explanation:
To calculate the percentage of increase, what we must do divide the two quantities, in this way we will be able to know how bigger they are from each other. So:
9000/6000 = 1.5
Now, we subtract those from 1, which would be 100%
1.5 - 1 = 0.5
therefore the increase was 50%
Hello!
I believe the number that can be written in the blank space above is 6.
48+54=6'(8+9)
The number written in the blank space is 6 because when you divide 48 and 54 by their numbers, 8 and 9, you will get an answer of 6 for both numbers.
48/8=6
54/9=6
So the number in the blank space would be 6.
I hope this helps!
Answer:
f(x)=x3
Step-by-step explanation:
If you meant f(x)=x3 by f(x)=x^3 then that would be a cubic equation and not linear?
