2 ( x + 1 ) = 12
Use distributive property:
2x + 2 = 12
Subtract 2 from both sides:
2x = 10
Divide both sides by 2:
X = 5
Answer: 
Step-by-step explanation:
By the negative exponent rule, you have that:

By the exponents properties, you know that:

Therefore, you can rewrite the left side of the equation has following:

Descompose 32 and 8 into its prime factors:

Rewrite:

Then:

As the base are equal, then:

Solve for x:

For this case, what you should keep in mind are the following considerations:
1) Rewrite the expressions correctly using the properties of the exponents: Addition, multiplication, division, subtraction and negative exponents.
2) Simplify the expression as much as possible.
Answer:
See attached image.
Answer:
a) a + c = 90
d) a + b + c + 30 = 180
e) The angles marked a and b are vertical
f) The angles marked a and c are complementary.
Step-by-step explanation:
A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.
Hope this helps! Have a wonderful rest of your day!
<em>-kiniwih426</em>