Always use this formula to find a percentage:
<span>% / 100 = Part / Whole</span> replace the given values:
40 / 100 = Part / 150
Cross multiply:
40 x 150 = 100 x Part, or
6000 = 100 x Part
Now, divide by 100 and get the answer:
Part = 6000 / 100 = <span>60</span>
Answer:
infinite solutions, true for all y
Step-by-step explanation:
6y+8=6(y+4)−16
Distribute
6y+8 = 6y+ 24 - 16
Combine like terms
6y+8 = 6y+8
Subtract 6y from each side
8=8
Since this is always true, the equation is true for all real y
The triangles ABC and EDF are congruent, meaning they have the same side lengths and angles measures.
The measure of DF, as both triangles are congruent, is equal to the measure of BC.
We can calculate the length of BC using the distance formula:
![\begin{gathered} D=\sqrt[]{(x_c-x_b)^2+(y_c-y_b_{})^2} \\ D=\sqrt[]{(2-2)^2+(-1-4)^2} \\ D=\sqrt[]{0^2+(-5)^2} \\ D=\sqrt[]{(-5)^2} \\ D=|-5| \\ D=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%3D%5Csqrt%5B%5D%7B%28x_c-x_b%29%5E2%2B%28y_c-y_b_%7B%7D%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%282-2%29%5E2%2B%28-1-4%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B0%5E2%2B%28-5%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%28-5%29%5E2%7D%20%5C%5C%20D%3D%7C-5%7C%20%5C%5C%20D%3D5%20%5Cend%7Bgathered%7D)
As BC is congruent with DF and BC=5, the length of DF is 5 units.
Step-by-step explanation:
Putting values of x and y
2 = 4 + 2
2 = 6
= 6-2
= 4
1. -2x + 3y + 5
A. -x + -x + y + y + y + 1 + 1 + 1 + 1 + 1
B. -x + -x + 2y + y + 4 + 1
D. -5x + 3x + 4y - y + 4 + 1
2. -$40 + 100 = $60 - $50 = $10
Cindy currently has $10 left in her bank account.
