<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to
.
Let
be the measure of the complementary angle.
If an angle is
more than its complementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are complementary,
.
Solving for
:

Since the other angle measures
, we can plug in the value of
to find the measure of the angle.
Evaluating
:

The measure of the angles are
and 
Answer: B. The data represent a sample since the data are a subset of units.
Step-by-step explanation:
- A population is the largest group of entire observations that can be made during a study.
- A sample is a finite subset of the population that represents the entire population.
Here,
Population = Participants for the study were those who used a popular social networking Web site.
Since the entire data for the "persons used a popular social networking Web site" is not possible.
There have been taken a sample of them.
∴ Correct answer is B. The data represent a sample since the data are a subset of units.
Answer:
-6 ≤x
Step-by-step explanation:
3x-2≤5(x+2)
Distribute
3x-2≤5x+10
Subtract 3x
3x-2-3x≤5x +10-3x
-2 ≤2x+10
Subtract 10 from each side
-2-10 ≤2x+10-10
-12 ≤2x
Divide by 2
-12/2≤2x/2
-6 ≤x
Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")
<span>En el problema incluyen el perímetro (la suma de todos los lados de una figura). </span>En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.
(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5
Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.