Step-by-step explanation:
Hey there!
By looking through figure, l and m are parallel lines and a transversal line passes through the lines.
Now,
7x + 12° = 12x - 28°( alternate angles are equal)
12°+28° = 12x - 7x
40° = 5x
Therefore, x = 8°
Now,
12x - 28° + 9y - 77 = 180° ( being linear pair)
12×8° - 28° + 9y -77° = 180°
96° - 28° + 9y - 77° = 180°
-9 + 9y = 180°
9y = 180° + 9°
y = 189°/9
Therefore, y = 21°
<u>There</u><u>fore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>8</u><u>°</u><u> </u><u>and</u><u> </u><u>y</u><u>=</u><u> </u><u>2</u><u>1</u><u>°</u><u> </u><u>.</u>
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
the constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
Answer:
2 is not a solution
False
Step-by-step explanation:
8m - 6 < 10
Add 6 to each side
8m -6+6 < 10+6
8m < 16
Divide by 8
8m/8 <16/8
m < 2
m must be less than 2
2 is not a solution
Answer:
33.1%
Step-by-step explanation:
First, calculate the dollar amount of the increase. Subtract $32,500 from $43,250. We get $10,750.
Next, divide this $10,750 by the original salary, $32,500, to determine what fraction of $32,500 is represented by $10,750:
fraction = $10,750/$32.500 = 0.331
Convert this to a percentage by multiplication by 100%: 33.1%
The rate of increase of the saleperson's salary was 33.1%.
