If ĐPQR = 50°, what is the measure of its complement?

The measure of its complement is 40°

Step-by-step explanation:

∵ The measure of angle PQR equal 50 degrees

∴ m∠PQR = 50°

∵ Angle x is the complement angle of angle PQR

→ That means the sum of the measures of angle x and angle PQR is 90°

∴ m∠x + m∠PQR = 90

→ Substitute measure of angle PQR by 50°

∴ m∠x + 50 = 90

→ Subtract 50 from both sides

∴ m∠x + 50 - 50 = 90 - 50

∴ m∠x = 40°

∴ The measure of its complement is 40°

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.