Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔBCD and ΔACE are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.
![\frac{AC}{BC}= \frac{EC}{DC}](https://tex.z-dn.net/?f=%5Cfrac%7BAC%7D%7BBC%7D%3D%20%5Cfrac%7BEC%7D%7BDC%7D)
![\frac{AB+BC}{BC}= \frac{ED+DC}{DC}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%2BBC%7D%7BBC%7D%3D%20%5Cfrac%7BED%2BDC%7D%7BDC%7D)
![\frac{AB+6}{6}= \frac{24+8}{8}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%2B6%7D%7B6%7D%3D%20%5Cfrac%7B24%2B8%7D%7B8%7D)
![\frac{AB+6}{6}= \frac{32}{8}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%2B6%7D%7B6%7D%3D%20%5Cfrac%7B32%7D%7B8%7D)
![\frac{AB+6}{6}=4](https://tex.z-dn.net/?f=%5Cfrac%7BAB%2B6%7D%7B6%7D%3D4)
AB + 6 = 24
AB = 18
Option (B) will be the answer.
The answer is b the sun is a rational number
Answer:
The vertex is at (5,4).
Step-by-step explanation:
I graphed both of the functions on the graph below.
If this answer is correct, please make me Brainliest!
Answer:
The y-intercept to the given line equation y=3x+15 is (0,15).
Step-by-step explanation:
Given line equation is y=3x+15
To find the y-intercept from the given line equation y=3x+15:
y-intercept when x=0
That is substitute x=0 in the given line equation
y=3x+15
y=3(0)+15
y=0+15
y=15
Therefore y=5
The point (0,15) on the graph where the line y is intersected is y-intercept.
In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.
Therefore the y-intercept to the given line equation y=3x+15 is (0,15).
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
![E = P*I*t](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At)
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
![T = E + P](https://tex.z-dn.net/?f=T%20%3D%20E%20%2B%20P)
Initial deposit of $400.
This means that ![P = 400](https://tex.z-dn.net/?f=P%20%3D%20400)
2% annual interest
This means that ![I = 0.02](https://tex.z-dn.net/?f=I%20%3D%200.02)
How much interest will he earn in 9 months?
An year has 12 months, this means that ![t = \frac{9}{12} = \frac{3}{4} = 0.75](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B9%7D%7B12%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%3D%200.75)
This is E. So
![E = P*I*t = 400*0.02*0.75 = 6](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At%20%3D%20400%2A0.02%2A0.75%20%3D%206)
He will earn $6 in interest in 9 months.