Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
- DC=DE
- DF is a common side
So, the two triangles are congruent. It follows that CF=FE, and in particular
![8x=3x+15 \iff 5x=15 \iff x=3](https://tex.z-dn.net/?f=8x%3D3x%2B15%20%5Ciff%205x%3D15%20%5Ciff%20x%3D3)
And since x=3, the length of EF is
![EF=3x+15=3\cdot 3+15=24](https://tex.z-dn.net/?f=EF%3D3x%2B15%3D3%5Ccdot%203%2B15%3D24)
We have been given that on the day of his 18th birthday Harry decided to start saving money regularly
. Starting on that day, he could save 30.00 on the same date every month. We are asked to find the amount saved by the day before Harry's 60th birthday.
First of all, we will find years from 18 years to 60 years.
![\text{Years}=60-18=42](https://tex.z-dn.net/?f=%5Ctext%7BYears%7D%3D60-18%3D42)
We know that 1 year equals 12 months.
![\text{42 years}=12\times 42\text{ Months}=504\text{ Months}](https://tex.z-dn.net/?f=%5Ctext%7B42%20years%7D%3D12%5Ctimes%2042%5Ctext%7B%20Months%7D%3D504%5Ctext%7B%20Months%7D)
To find total amount saved, we will multiply 504 months by amount saved per month.
![\text{Total amount saved}=\$30\times 504](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%20saved%7D%3D%5C%2430%5Ctimes%20504)
![\text{Total amount saved}=\$15,120](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%20saved%7D%3D%5C%2415%2C120)
Therefore, Harry would have saved
by the day before his 60th birthday.
7x+6=3x-6
+6 +6
7x+12=3x
-3x -3x
4x+12=0
-4x -4x
divide both sides by -4 but you have to flip the sign.
-3>x
or
{x | x < -3}
Can you do plsssssssss
help me plssssssssssss meee
Which equation represents the line that passes through (–8, 11) and (4,7/2 )?
☆☆☆☆☆☆☆☆☆☆☆☆☆☆A. y =-5/8x + 6
B.y =-5/8 x + 16
C. y = -15/2x – 49
D. y =-15/2 x + 71