One rule in Geometry is the vertical angle theorem. This is when two angles are directly across from each other, they would equal each other. This means that (3x+54) and (7x+10) will equal each other, giving you the function
3x+54=7x+10
Knowing this, all we would need to do now is solve for x. To do this, lets get x to the left. We do this but subtracting both sides by 7x to get rid of 7x on the right side, and bring it to the left
3x+54=7x+10 ------> 3x-7x+54=10 --------> -4x+54=10
Now, lets get x by itself, but subtracting both sides by 54, then dividing both sides by -4
-4x+54=10 ---> -4x=10-54 ---> -4x=-44 ---> x=-44/-4 ---> x= 11
So, we know that x=11. Now, we can plug it into either function. It doesn't matter which one since they both equal each other
f(x)=7x+10 ---> f(11)=7(11)+10 = 77+10 = 87
Our answer is 87
Answer:
1/8 and 7/8
Step-by-step explanation:
First convert 1/2 to 4/8.
Then, subtract and add 3/8
(4/8 - 3/8 = 1/8, 4/8 + 3/8 = 7/8)
Answer:
The answer is 1
Step-by-step explanation:
5w² – 5w = 0
Add 5w both side
5w² – 5w + 5w = 5w – 5w
5w² = 5w
Now, Divide both side by 5w we get,
5w²/5w = 5w/5w
w = 1
Thus, The value of w is 1
Answer:
8
Step-by-step explanation:
Step 1: Convert to math
2 times 4 = 2 x 4
Step 2: Multiply
2 x 4 = 8
This is the same as 2 x 2 x 2 or 2³
Answer:
C
Step-by-step explanation:
On a number line, larger numbers are toward the right, and smaller ones are toward the left.
They both are negative numbers, which means that <em>they are smaller than 0, therefore, they will both be on the left side</em>. The means A and C are not the right answers.
Because<em> -⁸/₁₈ is larger than -¹⁷/₂₇, it will be further right</em>, which makes C the correct answer.