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
The correct two-way frequency table for the data is <u>Men </u><u>and </u><u>Women </u><u>Leisure Time Activity Preferences.</u>
<h3>What is a correct two-way frequency table?</h3>
A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).
Men and Women Leisure Time Activity Preferences;
Playing Sports Dancing Watching movies/TV Row totals
Men 11 3 6 20
Women 5 16 9 30
Column totals 16 19 15 50
Hence, the correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.
To learn more about two-way frequency tables click the link given below.
brainly.com/question/4555163
Answer:
D. no solution
Step-by-step explanation:
h-z=3(1)
h=3+z(minus z from both side)
put in the second equation
-3h,+3z=6(2)
-3(3+z)+3z=6
-9-3z+3z=6
-9=6( not true)
so the equation doesn't have a solution.
S is slope
S= rise/run
S1=3/12=1/4
S2=2/16=1/8
S3=5/15=1/3
S4=4/20=1/5
Deepest slope S3 aka C
618+5400=6018
6018+(50+2500)=8568
8568-(47+2900)=5621
she has $5,621 in her account