<span>1. Read through the entire problem. 2. Highlight the important information and key words that you need to solve the problem. 3. Identify your variables. 4. Write the equation or inequality. 5. Solve. 6. Write your answer in a complete sentence. 7. <span>Check or justify your answer. hope this helps :D</span></span>
Answer:
3a) The value of x = 56
3b) The measure of ∠ H T M = 90°
3c) The radius of the circle = 53
Step-by-step explanation:
3a) ∵ A F is a tangent to the circle O at point F
∵ Secant AH intersects circle O at point T
∴ (A F)² = (A T)(A H)
∴ 7( x + 7) = (21)² ⇒ ÷ 7
∴ x + 7 = 63
∴ x = 63 - 7 = 56
3b) ∵ HM is a diameter
∴ The measure of the arc HM = 180° ⇒ semi-circle
∵ ∠ H T M is inscribed angle subtended by the arc HM
∴ m ∠ H T M = half the measure of arc HM
∴ m ∠ H T M = 180° ÷ 2 = 90°
3c) ∵ Δ H T M is a right angle triangle at T
∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem
∴ (H M)² = (90)² + (56)²
∴ (H M)² = 11236
∴ HM = = 106
∴ OM = 106 ÷ 2 = 53
∵ OM is the radius of the circle O
∴ The radius = 53
Pi is multiplied by diameter so,
35 x pi= 109.995
tell me how many decimal places should the finals should be so that I can round off
Answer:
(3, -4)
Step-by-step explanation:
Lines are intersecting at points (3, -4).
So, the solution of the given system of equations is (3, -4).
Hope it helps you in your learning process.