Angles P and Q are complementary. If m∠P = 8x + 1 and m∠Q = 9x + 4, what is the measure of each angle?

The value of ∠P=41° and ∠Q= 49°.

Given to us:

∠P = 8x + 1,

∠Q = 9x + 4,

Complementary angles are the angles whose measures sums to 90°.

As given in the question ∠P and ∠Q are complementary angles, therefore we can write it as;

Putting the value of ∠P and ∠Q,

Now using the value of x, solve ∠P and ∠Q; For ∠P

Putting the value of x,

For ∠Q,

Putting the value of x,

Hence, the value of ∠P and ∠Q are 41° and 49° respectively.

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Using the given information, the measurement of ∠P is 41° and the measurement of ∠Q is 49°

Step-by-step explanation:

Complementary angles are angles that have a sum measurement of 90°. So, the measurement of ∠P and the measurement of ∠Q will have a sum of 90° because they are complementary angles.

So, let's set up an equation where we add the two measurements and equal them to 90.

(8x + 1) + (9x + 4) = 90

Combine like terms.

17x + 5 = 90

Subtract 5 from both sides of the equation.

17x = 85

Divide 17 from both sides of the equation.

x = 5

Now that we have the value of x, let's plug in this value for each angle to find their measurement.

m∠P = 8(5) + 1 = 40 + 1 = 41

m∠Q = 9(5) + 4 = 45 + 4 = 49

So, the measurement of ∠P is 41° and the measurement of ∠Q is 49°

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors

the easiest way to do these would be to solve the equations. if you can solve the equation than you can solve these problems.