Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
12) x = 100°, y = 80° and z = 160°
13) x = 65°
Solution:
<u>Question 12</u>:
<em>If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half of the intercepted arc.
</em>
⇒ x = 100°
<em>Sum of the adjacent angles in a straight line is 180°.
</em>
x + y = 180°
100° + y = 180°
Subtract 100° from both sides, we get
y = 80°
By the above mentioned theorem,
Multiply by 2 on both sides, we get
⇒ 160° = z
Therefore, x = 100°, y = 80° and z = 160°.
<u>Question 13</u>:
<em>If two chords intersects in the interior of the circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
</em>
⇒ ∠x = 65°
Therefore x = 65°.
Answer:
a. 1,000 yards
b. (2, -1)
Step-by-step explanation:
Coordinates of Ben's House = (6, 2)
Coordinates of Kate's House = (-2, -4)
a. Number of yards between Kate and Ben's House using instance formula, .
1 unit = 100 yards
Therefore, 10 units = 1,000 yards.
Kate and Ben's House are 1,000 yards apart.
b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).
Plug in the values
the first option is the correct one
The formula is 2piR so take the radius (10) and multiply it by 2x3.14 so 62.80