Divide the numerator by the denominator .
Answer: PR=14.5.
Step-by-step explanation:
1. If the area of PQR is 50, then (QR*PQ)/2=50, so QR*PQ=100 (the area of a triangle is the base*height/2).
2, The tangent of an angle is (the opposite side)/(the adjacent side). So, the tangent of angle P=QR/PQ. Angle P is 36 degrees, and the tangent of 36 degrees is 0.726542528. We can substitute this into the equation we found to get 0.726542528=QR/PQ.
3. Using the equations we found in Steps 1 and 2, we can create a system of equations:
We can solve this system of equations to get PQ=11.7319 and QR=8.52375.
4. Using Pythagorean theorem, we can say that PR^2=QR^2+PQ^2. If we substitute the values of PQ and QR into the equation, we can come to the conclusion that PR=14.5014410206, which simplifies to PR=14.5.
Answer:
x - 9 = 12
Step-by-step explanation:
We can use x as "a number"
So the equation so far is just "a number", or x.
Decreased by 9 can also be said as subtracted by 9, so that makes the equation x - 9.
"is 12" can also be said as equals 12, which makes the equation x - 9 = 12
<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>
