8(4x+5)=136
Multiply the number outside of the parenthesis(8) with the numbers inside the parenthesis(4x and 5).
32x+40=136
Subtract 40 from both sides
32x=96
Divide both sides by 32 so the only thing remaining on the side of the variable is only the variable itself.
Final Answer: x= 3
Answer:
The first one is equivalent [the 6x+48 = 2(3x+24)] and the second one is <u>NOT</u> equivalent [the 7x+21 ≠ 2(5x+3)]
Step-by-step explanation:
Just follow distributive property to solve these. You can ignore the first expression in both until you have to compare the answers.
1. 6x+48 and 2(3x+24)
2(3x+24) ---> 2(3x) + 2(24) ---> <u>6x + 48</u>
Bring in the first expression ~ <u>6x+48 and 6x+48 </u>
They are the same, so they are equivalent
2. 7x+21 and 2(5x+3)
2(5x+3) ---> 2(5x) + 2(3) ----> 10x + 6
Bring in the first expression ~ <u>7x+21 and 10x + 6</u>
They are NOT the same, so they are NOT equivalent
Answer: 
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles 
and 
are supplementary, which means that they add up to 180 degrees.
So, knowing that:
We can write the following expression and solve for "x":
Therefore, substituting, we get that the measures of the angles and are:
Answer:
x = 107
Step-by-step explanation:
x and 107 are alternate interior angles and alternate interior angles are equal
so x= 107
Use the identity:-
a^2 + b^2 = (a + b)^2 - 2ab
Plugging in the given values;-
a^2 + b^2 = 6^2 - 2*7 = 36-14 = 22 Answer
