These angles, 110º and 7xº, are examples of supplementary angles.
Supplementary angles are angles that, when added together, produce a sum of 180º.
This means 110º + 7xº = 180º.
With this equation, 110º + 7xº = 180º, we can isolate the variable and solve for x to answer this question.
110º + 7xº = 180º
The first step to solve for x is to subtract 110º from both sides of the equation.
110º + 7xº - 110º = 7xº
180º - 110º = 70º
7xº = 70º
Since we want 1xº instead of 7xº, we need to divide both sides by 7.
7xº / 7 = xº
70º / 7 = 10º
xº = 10º
Now we have our solution!
The value of x is 10º.
Let's check this to be sure.
7xº, when added to 110º, must equal 180º since 7xº and 110º are supplementary angles.
7xº + 110º = 180º
We found that x is 10º.
7(10)º + 110º = 180º
7 • 10 = 70
70º + 110º = 180º
180º = 180º
This works! That means that x = 10º is in fact the correct answer.
Answer:
x = 10º
Hope this helps!
Diameter is the radius times 2, which is 18. 18 x 24 = 432 yards
30/100 +5/10 = 3/10 +5/10 = 8/10 = 4/5
Mrs. Morales will have 4/5 of a liter of juice.
_____
The total quantity was found by adding the quantities of individual kinds of juice. The addition was performed by expressing each fraction using the common denominator of 10, then reducing the final result.
4 x 225 = 900
17500 / 900 = 19.44
Therefore he will need 20 volunteers
A=b*h
456=24*h
h=456/24
h=19
Height would be 19 inches
