Answer:
1561.6
Step-by-step explanation:
The size of angle PRQ is 15°
Step-by-step explanation:
In any regular polygon of n-sided
- All sides are equal in length
- All angles are equal in measure
- The measure of each interior angle is

- The measure of each exterior angle is

- The sum of the measures of the interior and exterior angle at the same vertex is 180°
∵ PQ and QR are two sides of a regular 12-sided polygon
∴ PQ = QR
∵ PR is a diagonal
∴ ∠PQR is an interior angle of the polygon
- By using the rule of the interior angle above
∵ n = 12
∴ m∠PQR = 
∴ m∠PQR = 150°
In Δ PQR
∵ PQ = QR ⇒ sides in a regular polygon
- Δ PQR is an isosceles Δ
∴ m∠PRQ = m∠RPQ ⇒ base angles of an isosceles Δ
The sum of the measures of the interior angles of a triangle is 180°
∵ m∠PQR + m∠PRQ + m∠RPQ = 180°
∴ 150 + m∠PRQ + m∠RPQ = 180°
- Subtract 150 from both sides
∴ m∠PRQ + m∠RPQ = 30
∵ m∠PRQ = m∠RPQ
- Divide their sum by 2 to find the measure of each one
∴ m∠PRQ = m∠RPQ = 30 ÷ 2 = 15°
∴ m∠PRQ = 15°
The size of angle PRQ is 15°
Learn more:
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Answer:
the y intercept is 2 1/3 and the x intercept is 392/500
Step-by-step explanation:
i just used desmos it helps
The solution set is 
Explanation:
The given equation is 
To determine the solution set of the equation, let us solve the equation.
Adding both sides of the equation by 3, we have,

Taking square root on both sides of the equation, we get,


Thus, the solution of the equation is 
The solution set of the equation is the set which contains all the solutions of the equations.
Thus, writing the solutions of the equation using set notation, we have,

Thus, the solution set is 
Answer:
Step-by-step explanation:
5(11+7)