Answer:
x = 7
Step-by-step explanation:
12x - 16 = 68
Add 16 to each side
12x - 16+16 = 68+16
12x =84
Divide by 12
12x/12 = 84/12
x = 7
Answer:
12.76
Step-by-step explanation:
This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.


Answer:
m∠1 + m∠3 = m∠2 + m∠4
Step-by-step explanation:
In the figure attached,
In the given trapezoid if two sides AB and CD are parallel and AD is a transverse,
m∠1 + m∠3 = 180°
Similarly, if AB and CD are parallel and BC is a transverse,
m∠2 + m∠4 = 180°
Therefore, m∠1 + m∠3 = m∠2 + m∠4 is the relation between these angles.
Answer:
38
Step-by-step explanation:
Pemdas
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Factorize the quadratic.

We have
, so

Now, both
and
(since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

So the solution to the inequality is the set
