Answer:
no solution
Step-by-step explanation:
If we subtract the left side of the equation, we get ...
This equation will equal zero only if m=3, which is disallowed because it makes the denominator zero. Thus, there is no solution.
Answer: 1,395 gallons
Step-by-step explanation:
There are 31 days in December.
If using this water fixture would reduce water usage to 45 gallons per day, the number of gallons to be used in December is:
= 45 * 31 days
= 1,395 gallons
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for <em>x</em>:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find <em>x</em> by dividing 2 on both sides
x = 9
Step 5: Plug in <em>x</em> for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°
Answer:
1.) If two angles have equal measures, then the measure of each is 28 degrees.
Step-by-step explanation:
The converse of a statement simply swaps the positions of the "if" and "then" clauses. Without any modification for clarity or readability, the converse would be ...
if <em>two angles are equal in measure</em>, then <em>each of the two angles has a measure of 28 degrees</em>.
