Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.
Answer:
All you have to do is multiply 5000 by .025 to find that she earns $125. Next, you multiply 125 by 7 and find that she earns $875!
Step-by-step explanation:
1/4x - 2 = 3/8
First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.

Second, now we can continue solving for our variable (x). Let's add 2 to each side.

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)

Fourth, continue trying to get the variable by itself. Multiply each side by 4.

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8
Since 4 is our first common factor, it is considered our GCF.
Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.

Answer in fraction form:

Answer in decimal form:
Answer:
The solution to the inequality is:

The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality

Add 8 to both sides


Divide both sides by 2


Add 3 to both sides


Thus, the solution to the inequality is:

The number line solution graph is also attached below.