Answer:
x = 52
Step-by-step explanation:
I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.
So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180
A + B = 180
2x + 76 = 180
2x = 104
x = 52
I hope this helps!
The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.
<u>Step-by-step explanation:</u>
For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.
Choice 1:
Six yards of rope costs $ 5.50
Choice 2:
Four yards costs $ 4.75
Thus, the best choice is the first one. Because it is the lowest unit cost.
Answer:
<em>a. 180 votes were for blue</em>
<em>b. 60 votes were for green </em>
Step-by-step explanation:
<u>Fractions</u>
It's known 5/8 of the votes of a school-wide election were for painting the school blue. Suppose there were x voters in school.
Since 5/8 were for blue, then
Were for the rest of the colors. It's also known 5/9 of the remaining votes were for green, thus
of the remaining votes were for red.
The votes for red are:
of the total voters.
We know these were 48 votes, thus
There were 288 voters in school.
a. 5/8 were for blue, that is:
180 votes were for blue
b. 288-180 = 108 votes were for others than blue, and 5/9 of them were for green:
60 votes were for green and 108-60=48 votes were for red (as expected)