<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment.
Given that FB : FC = 4 : 3,
From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1).
We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A)
Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1))
Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3.
Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4).
Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3.
Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4).
Therefore, the coordinates of point D is (-6, -4).</span>
Answer:
y = 10 when x is -4
will be the correct answer
Answer:
225 cm ^ 3
Step-by-step explanation:
First find the volume of the rectangle that is most horizontal.
L * W * H = 10 * 3 * 3 = 90
Then find the volume of the most vertical rectangle
L * W * H = 15 * 3 * 3 = 135
add them together to get...
225
Answer:
59
Step-by-step explanation:
You can see that this angle is a right angle which means that it is a total of 90 degrees.
24 + 7 = 31
90 - 31 = 59
You can also check if your answer is right by adding all the measurements.
24 + 7 + 59 = 90
Hope this helps, thank you !!
Answer:
90
Step-by-step explanation:
80% of 90 is 72
90+72 is 162
