Angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)
so if angle 7 is 115° so are 6, 3, and 2
so the measure of angle 2 is 115°
Y is already solved because y=kt
Answer:
14 inches of the original length of ribbon is left.
Step-by-step explanation:
It is given that the total length of ribbon is 32 inches.
It is also given that he cuts six 3-inch pieces from the original length. This means:
6*3 = 18 inches
18 inches are cut from the total length of ribbon.
So the remaining ribbon will be:
= 32-18 = 14 inches
Hence,
14 inches of the original length of ribbon is left.
Answer:
x=3, y=-2
Step-by-step explanation:
If 2x-4y=14, then we know that 2x=14+4y. This means that x=7+2y. If we substitute this into the next equation we get: 3y+(35+10y)=9. This means that we have 35+13y=9. If we subtract 35 from both sides we get 13y=-26. This means y=-2. If you subsitute this in the first equation, we have 2x--8=14. -- means + so you do 2x+8=14. This means that x=3.
btw this is my first answer so sorry if its bad.
We have the equation:
![x^2+3x=40](https://tex.z-dn.net/?f=x%5E2%2B3x%3D40)
We have to find its roots with the quadratic formula:
![\begin{gathered} x^2+3x-40=0 \\ x=\frac{-3}{2\cdot1}\pm\frac{\sqrt[]{3^2-4\cdot1\cdot(-40)}}{2\cdot1} \\ x=-\frac{3}{2}\pm\frac{\sqrt[]{9+160}}{2} \\ x=-\frac{3}{2}\pm\frac{\sqrt[]{169}}{2} \\ x=-\frac{3}{2}\pm\frac{13}{2} \\ x_1=-\frac{3}{2}-\frac{13}{2}=-\frac{16}{2}=-8 \\ x_2=-\frac{3}{2}+\frac{13}{2}=\frac{10}{2}=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%2B3x-40%3D0%20%5C%5C%20x%3D%5Cfrac%7B-3%7D%7B2%5Ccdot1%7D%5Cpm%5Cfrac%7B%5Csqrt%5B%5D%7B3%5E2-4%5Ccdot1%5Ccdot%28-40%29%7D%7D%7B2%5Ccdot1%7D%20%5C%5C%20x%3D-%5Cfrac%7B3%7D%7B2%7D%5Cpm%5Cfrac%7B%5Csqrt%5B%5D%7B9%2B160%7D%7D%7B2%7D%20%5C%5C%20x%3D-%5Cfrac%7B3%7D%7B2%7D%5Cpm%5Cfrac%7B%5Csqrt%5B%5D%7B169%7D%7D%7B2%7D%20%5C%5C%20x%3D-%5Cfrac%7B3%7D%7B2%7D%5Cpm%5Cfrac%7B13%7D%7B2%7D%20%5C%5C%20x_1%3D-%5Cfrac%7B3%7D%7B2%7D-%5Cfrac%7B13%7D%7B2%7D%3D-%5Cfrac%7B16%7D%7B2%7D%3D-8%20%5C%5C%20x_2%3D-%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B13%7D%7B2%7D%3D%5Cfrac%7B10%7D%7B2%7D%3D5%20%5Cend%7Bgathered%7D)
Answer:
The roots (or solutions) of the equation are:
x1 = -8
x2 = 5