m∠HKF = 87°
Solution:
Given data:
m(ar JF) = 135° and m(ar GH) = 42°
GJ is the diameter of the circle.
<em>Angle in a diameter is 180°.</em>
⇒ m(ar JF) + m(ar FG) = 180°
⇒ 135° + m(ar FG) = 180°
Subtract 135° from both sides of the equation.
⇒ m(ar FG) = 45°
⇒ m(ar FGH) = m(ar FG) + m(ar GH)
⇒ m(ar FGH)= 45° + 42°
⇒ m(ar FGH) = 87°
<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>
⇒ m∠HKF = m(ar FGH)
⇒ m∠HKF = 87°
Answer:
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Step-by-step explanation:
a) 4.71ft
b) 3.53ft^2
Step-by-step explanation:
Perimeter is 1/2 the circumference
1/2 Circumference = 2*pi*radius
Radius = 1/2 Diameter
Radius = 3/2 = 1.5ft
Circumference = 2*pi*1.5ft = 9.42
1/2 Circumference = 4.71
4.71ft is the perimeter.
The area is 1/2 that of a full circle
A = pi*r^2
A = 3.14*1.5*1.5
A = 7.065ft^2
1/2 A = 3.53ft^2
Answer:
= n - 7
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence
d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 1 , then
= - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7
Minimum is (4,3) and Vertical intercept is (0,5) correct me if I’m wrong
