Answer:
1/3
Step-by-step explanation:
Line C to B is 9 long while Line C' to B' is 3.
That's a 1/3 reduction
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3
</span><span>2. Write the equation of the line in point-slope form.
Show your work
</span>
point-slope form. <span>
y - y1 = m(x - x1)
so equation
y - 2 = 2/3(x + 3)
</span><span>3. Write the equation of the line in slope-intercept form.
Show your work.</span><span>
</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4
equation
y = 2/3(x) + 4
</span>
the commutative property was used
Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get




Adding x on both sides, we get




The missing length is 3 Therefore, the correct option is D.
If we assume the given segments are those from the vertices to the point of intersection of the diagonals, it seems one diagonal (SW) is 20 yards long and the other (TR) is 44 yards long. The area (A) of the kite is half the product of the diagonals:
... A = (1/2)·SW·TR = (1/2)·(20 yd)·(44 yd)
... A = 440 yd²