Answer: 19.2 ft
Step-by-step explanation:
The distance between you, Player A and Player B are in the form of a right angled triangle so using the Pythagorean Rule, we can find the distance between you and Player A.
c² = a² + b²
c = hypotenuse = Distance between you and player A
a = Length of triangle
b = Height of triangle
c² = 12² + 15²
c² = 144 + 225
c = √369
c = 19.2 ft
Answer: 360
Step-by-step explanation: Carlos earns 8x45
Answer:
999
Step-by-step explanation:
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
X=80 degrees. it’s a straight line and straight lines equals 180 degrees. 180-100 is 80.
Answer:
m∠Q = 35°
m∠M = 60°
Step-by-step explanation:
In the isosceles triangle, the measures of the base angles are equal
In Δ RQS
∵ RQ = RS
→ That means Δ RQS is an isosceles triangle
∴ Δ RQS is an isosceles triangle
∵ ∠Q and ∠S are the base angles
∴ m∠Q = m∠S
→ The sum of the measures of the interior angles in any Δ is 180°
∴ m∠Q + m∠S + m∠R = 180°
∵ m∠R = 110°
∴ m∠Q + m∠S + 110 = 180
→ Subtract 110 from both sides
∴ m∠Q + m∠S = 70°
∵ m∠Q = m∠S
→ Divide their sum by 2 to find the measure of each one
∴ m∠Q = m∠S = 70 ÷ 2 = 35°
∴ m∠Q = 35°
In Δ MNP
∵ MN = NP = PM
→ That means ΔMNP is an equilateral triangle
∴ Δ MNP is an equilateral triangle
→ In the equilateral triangle, all angles are equal in measures
∴ m∠M = m∠N = m∠P
∵ m∠M + m∠N + m∠P = 180
→ Divide their sum by 180 to find the measure of each angle
∴ m∠M = m∠N = m∠P = 180 ÷ 3 = 60°
∴ m∠M = 60°