Hannah and Jayna have disposable cameras . The table and descriptions show the number of shots left on their cameras as a functi
2 answers:
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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
Answer with explanation:
Vertices of Triangle X Y Z →→ Pre-Image : X(3,-6),Y(1,-2),Z(-1,-5)
Vertices of Triangle X' Y' Z' →→ Image : X'(-3,6),Y'(-1,2),Z'(1,5)
→→Drawing the Triangle XYZ and X'Y'Z' on coordinate plane
→All sides are unequal in length, so it is a Scalene Triangle.
Joining Z and Z'
⇒And ,finding that , if we rotate Triangle X Y Z in Anti clockwise Direction by an angle of 180°, it gives Triangle X'Y'Z'.
Option :Anti Clockwise Rotation by an angle of 180°
