Answer:
The measure of C is 75 degrees
Step-by-step explanation:
Since ABC is isosceles, we know that C is equal to B. Therefore, we can add all the angles together and set equal to 180 to find the value of x.
A + B + C = 180
x + 5 + 3x + 3x = 180
7x + 5 = 180
7x = 175
x = 25
Now we can plug in the value of x into 3x to find C.
C = 3x
C = 3(25)
C = 75
Hi there!
In order to figure out the total measures of interior angles of a polygon, you can use this equation: (n-2) * 180.
#1 - First, let's figure out the total measure of interior angles
WORK:
(6 - 2) * 180 = 720
Next, we can add up all of the values and set it equal to the total interior angle measures. Since the two unknown angles are congruent, we can show those as 2x.
WORK:
90 + 149 + 103 + 108 + 2x = 720
2x + 441 = 720
2x = 279
x = 139.5 degrees
#2 - In any polygon, the value of the exterior angles always adds up to 360. Using that, we can create another equation, adding up the values and setting it equal to 360. For the one interior angle that is there, we need to find it's supplementary angle.
WORK:
43 + (180 - 106) + 11x + 12x + 37 + 17x + 50 + 12x = 360
52x + 204 = 360
52x = 156
x = 3 degrees
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
A
C
D
Step-by-step explanation:
I copied some smart kid
Answer:
a one solutions x=3
b one solution x=36
c infinite solutions
Step-by-step explanation:
(a) 4x + 2(x – 1) = 10 + 2x
Distribute
4x+2x-2 = 10+2x
Combine like terms
6x-2 = 10+2x
Subtract 2x from each side
6x-2x-2 = 10+2x-2x
4x-2 = 10
Add 2 to each side
4x-2+2 =10+2
4x=12
Divide by 4
4x/4 = 12/4
x=3
There is one solution
(b) 30 – x = 10 – (6 + 10)
Distribute the minus sign
30-x = 10-6-10
30-x=-6
Subtract 30 from each side
30-x-30 = -6-30
-x = -36
Multiply by -1
x = 36
(c) 8x = 4x + 4x + 10(x-x)
Parentheses first
8x = 4x+4x+10(0)
8x=4x+4x
Combine like terms
8x=8x
Subtract 8x from each side
8x-8x=8x-8x
0=0
This is always a true statement
x =all real numbers
infinite solutions