In the figure, parallelogram PQSR and Triangle PQT are standing on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

they used 313 gallons of paint