See the attached picture:
The answer
the complement of the question is
What is the value of y?
2
5
7
<span>8
</span>
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so
HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies 2HK =HF
HK / 2HK = KJ / GF it is equivalent to 1/2 = 2y+5 / 5y +3
likewise, equivalent to 5y +3 = 4y +10, 5y-4y = 10-3, and y = 7
so the answer is 7
Answer:
x + 4y ≤ 15; y ≥ 0
Step-by-step explanation:
The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.
The slope of the top (left) line is negative, so the equation will be of the form ...
x + 4y = something
When y=0, x=15, so the "something" is expected to be 15.
However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.
The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...
x + 4y ≤ something . . . . . part of the 3rd answer choice
The fact that the shading does not go below y=0 means the other limit is ...
y ≥ 0 . . . . . part of every answer choice.
if 2 angles whose sums are 90 then the angles are Complementary Angles if the 2 angles whose sums are 180 they are Supplementary angles