Abc is similar to pqr. find the measure of a.

A is equal to 92 degrees.

In similar triangles, the angles are all the same. So first you have to look for the placement of the letters in the congruence statement. Since ABC = PQR, we know that the first letters (A and P) are congruent. The same can be said of the middle letters (B and Q) or the end letters (C and R).

Since P is equal to 92 degrees and A is equal to P, then we know A is equal to 92 degrees.

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 would have to work 32 hours.