<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>
Right of the bat, I know the measure of angle C equals 73° because of the Isosceles Base Angle Theorem. Then, due to the Triangle Sum Theorem, I know that all of the measures in the triangle must add to 180°. To find this, just subtract 73 and 73 from 180. Finally, because angle B equals (6x + 4) and 34°, just set them equal to each other to find the value of x.
180 - 73 - 73 = measure of angle B
34° = measure of angle B
6x + 4 = 34
- 4 - 4
6x = 30
6x / 6 = 30 / 6
x = 5
Hope this helps!
Answer: -15
Step-by-step explanation:
Let the unknown number be 'x'
Using the statement we can form the equation:
4 + x = -11
Now, solve the above equation to get :
4 + x = -11
x = -11 -4
x = -15
The number is -15. To check our answer, substitute for x :
4 + (-15) = -11
4 - 15 = -11
The above equation is correct. Therefore, the number is -15.
Answer:
It may be D, correct me if i'm wrong.
Step-by-step explanation:
We already know that the majority of students will go to a college based on somebody else going to that college. With that in mind, we can draw a cause-and-effect conclusion summarizing why they want to choose that college (Because there friend) and the effect as there friend goes to that college.
The square root of 150 is 12.2474487139
Rounded to the nearest whole foot would be 13 feet so you would be able to cover the entire room without lost space.
ANSWER 13x13 FT
