Both angles WILL have the same measure.
So,
3x-10= x+40 (you have to set the equations equal to one another)
Now, add 10 to both sides.
3x=x+50
Subtract x on both sides.
2x=50
Divide both sides by 2.
x=25
Now, plug in x.
(25 +40)= 65
(3(25)-10)= 65
x equals 25 and both angles are equal to 65. Or "B".
I hope this helps!
~cupcake
Answer:
h;ikl
Step-by-step explanation:
Answer: 56in³
Step-by-step explanation:
Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:
1/2 = 28/x
Cross multiply
1 × x = 2 × 28
x = 56
Therefore, the volume of solid is 56in³.
Answer:
Coordinates of G = ![(2,0)](https://tex.z-dn.net/?f=%282%2C0%29)
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points
are given by ![(\frac{a+c}{2},\frac{b+d}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Ba%2Bc%7D%7B2%7D%2C%5Cfrac%7Bb%2Bd%7D%7B2%7D%29)
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = ![(\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%2B3%7D%7B2%7D%2C%5Cfrac%7B-2%2B3%7D%7B2%7D%29%3D%28%5Cfrac%7B-1%7D%7B2%7D%2C%5Cfrac%7B1%7D%7B2%7D%29)
Midpoint of EG = ![(\frac{-3+x}{2},\frac{1+y}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-3%2Bx%7D%7B2%7D%2C%5Cfrac%7B1%2By%7D%7B2%7D%29)
Let coordinates of G be ![(x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29)
Therefore,
![(\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0](https://tex.z-dn.net/?f=%28%5Cfrac%7B-1%7D%7B2%7D%2C%5Cfrac%7B1%7D%7B2%7D%29%20%20%3D%28%5Cfrac%7B-3%2Bx%7D%7B2%7D%2C%5Cfrac%7B1%2By%7D%7B2%7D%29%5C%5C%5C%5C%5Cfrac%7B-1%7D%7B2%7D%3D%5Cfrac%7B-3%2Bx%7D%7B2%7D%2C%5C%2C%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%2By%7D%7B2%7D%5C%5C%5C%5C-1%3D-3%2Bx%2C%5C%2C1%3D1%2By%5C%5C%5C%5Cx%3D-1%2B3%2C%5C%2Cy%3D1-1%5C%5Cx%3D2%2C%5C%2Cy%3D0)
So,
Coordinates of G = ![(2,0)](https://tex.z-dn.net/?f=%282%2C0%29)
Answer:
A
Step-by-step explanation:
Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction