Answer:
10
Step-by-step explanation:
To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.
To solve for x, cross multiply:
12(x+4) = (2x+1)(8)
12x + 48 = 16x + 8
48 = 4x + 8
40 = 4x
10 = x
Answer:
Step-by-step explanation:
We know that the break even point is the point where the cost and the revenue equations intersect. So the break even point in this situation is:
C= R
<=> 20/3x+50 = 10x (with x > 0 and x is a whole number)
<=> 
-50x -20 = 0
<=> x ≈ 5
If the company sells more than 5 items, it will have benefit
If the company sells less than 5 items, it will lose
The answer is -12
try using demos it helps a lot with number lines and graphs (:
Given two angles of a triangle, we can find the third one by subtracting what we have from 180:
180-63.2-75.9=40.9°. This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.
Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.
Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR. These sides are not parallel to any other sides of this figure.
For the last problem, the vertices given do not form a parallelogram. There is only 1 pair of parallel sides using these points.
