Answer:
(B) 36°
Step-by-step explanation:
AB is a secant to the circle and B D is the tangent.
Consider O as the center of the circle.
then ∠A O C =72° and ∠ COD =132°
As OD ⊥ B D [ Line from the center to the point of contact of tangent are perpendicular.]
∠ OD B= 90°
In Δ A O C
O A = O C [radii of same circle]
∠ O A C = ∠ O C A [ If sides are equal angle opposite to them are equal]
∠ O A C + ∠ O C A +∠ A O C =180° [ sum of angles of triangle is 180°]
2∠O AC+72° = 180°
∠O AC = 108°÷2
∠O AC = 54°
In Δ A B D
∠A B D + ∠A DB+ ∠BAD =180° [angle sum property of triangle]
∠A B D +90° +54° =180°
∠A B D = 180 - 144°
∠A B D =36°
Option (B) is correct.
Answer:
Step-by-step explanation:
we know that
The perimeter of the rectangular lot is
----> equation A
where
AB is the length
BC is the width
we have
---> equation B
----> equation C
substitute equation B and equation C in equation A
solve for BC
<em>Find the value of AB</em>
Answer:
See below
Step-by-step explanation:
A 2.5 % decrease means 97.5 % remains (.975)
population = 10800 ( .975) ^n where n = years past 2002
in 2020 n = 18
10800 (.975)^18 = 6847 people
Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Answer:
he'll need to save for 5 weeks to get $85
Step-by-step explanation:
hope this helps :)