50 degrees
All triangles have 180 degrees total.
Since it’s an isosceles triangle, the 2 bottom angles are congruent; thus, they have the same angle measurement.
Now just subtract the two angles from 180 to get the third angle.
180 - 65 - 65 = 50
Answer:
Step-by-step explanation:
Isolate the variable of y from one side of the equation.
-14=5(3y-10)-5y
<u>First, switch sides.</u>
![\sf{5\left(3y-10\right)-5y=-15}](https://tex.z-dn.net/?f=%5Csf%7B5%5Cleft%283y-10%5Cright%29-5y%3D-15%7D)
Use the distributive property.
<u>DISTRIBUTIVE PROPERTY:</u>
A(B-C)=AB-AC
5(3y-10)
Multiply by expand.
5*3y=15y
5*10=50
15y-50-5y
15y-5=10y
= 10y-50
10y-50=-15
Add by 50 from both sides.
10y-50+50=-15+50
Solve.
10y=35
Then, you divide by 10 from both sides.
10y/10=35/10
Solve.
Divide the numbers from left to right.
35/10=7/2
y=7/2
Divide is another option.
7/2=3.5
![\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Cboxed%7B%5Csf%7By%3D%5Cdfrac%7B7%7D%7B2%7D%7D%7D)
- <u>Therefore, the correct answer is y=7/2.</u>
I hope this helps. Let me know if you have any questions.
Answer:
x2 y1, x4 y2, x6 y3, x8 y4
Step-by-step explanation:
You have to double the x for each y
For this case we have the following expression:
![\frac {3} {4} g = \frac {5} {8}](https://tex.z-dn.net/?f=%5Cfrac%20%7B3%7D%20%7B4%7D%20g%20%3D%20%5Cfrac%20%7B5%7D%20%7B8%7D)
We clear the value of the variable "g", for this:
We multiply by 4 on both sides of the equation:
![4 * \frac {3} {4} g = \frac {5} {8} * 4\\3g = \frac {20} {8}](https://tex.z-dn.net/?f=4%20%2A%20%5Cfrac%20%7B3%7D%20%7B4%7D%20g%20%3D%20%5Cfrac%20%7B5%7D%20%7B8%7D%20%2A%204%5C%5C3g%20%3D%20%5Cfrac%20%7B20%7D%20%7B8%7D)
We divide by 3 on both sides of the equation:
![\frac {3g} {3} = \frac {20} {8 * 3}\\g = \frac {20} {24}](https://tex.z-dn.net/?f=%5Cfrac%20%7B3g%7D%20%7B3%7D%20%3D%20%5Cfrac%20%7B20%7D%20%7B8%20%2A%203%7D%5C%5Cg%20%3D%20%5Cfrac%20%7B20%7D%20%7B24%7D)
We simplify:
![g = \frac {10} {12} = \frac {5} {6}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%20%7B10%7D%20%7B12%7D%20%3D%20%5Cfrac%20%7B5%7D%20%7B6%7D)
Answer:
![g = \frac {5} {6}](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%20%7B5%7D%20%7B6%7D)