Answer:
50°
Step-by-step explanation:
As usual, the diagram is not drawn to scale.
The chord divides the circle into two arcs that have a sum of 360°. If we let "a" represent the measure of the smaller arc, then we have ...
a + (a+160°) = 360°
2a = 200° . . . . . . . . . . . subtract 160°
a = 100°
The measure of the angle at A is 1/2 the measure of the subtended arc:
acute ∠A = a/2 = (1/2)·100° = 50°
_____
<em>Comment on this geometry</em>
Consider a different inscribed angle, one with vertex V on the circle and subtending the same short arc subtended by chord AB. Then you know that the angle at V is half the measure of arc AB. This is still true as point V approaches (and becomes) point A on the circle. When V becomes A, segment VA becomes tangent line <em>l</em>, and you have the geometry shown here.
Answer:
The area of the circle is approximately <u>154</u> square meters
Step-by-step explanation:
Area of a circle formula: 
given:
- diameter = 14m
- pi = 22/7
Answer:
8 floors
Step-by-step explanation:
The number of employees is directly proportional to the number of floors that each building has.
The first building has 32 floors and it occupies 189 employees. Therefore:
189 α 32
=> 189 = k * 32 = 32k
where k = constant of proportionality
=> k = 189/32
The new building has 50 employees, therefore:
50 = kN
where N = number of floors
=> 50 = 189/32 * N
N = (50 * 32) / 189 ≅ 8 floors
The new building should have 8 floors
Answer:
x = 1.5
Step-by-step explanation:
-1.2 (3 - x) = -1.8
<em>Apply distributive property</em>
-3.6 + 1.2x = -1.8
<em>Get 1.2x alone so add -3.6 to each side</em>
1.2x = 1.8
<em>Get x alone so divide 1.2 on each side</em>
x = 1.5
Hope this helps!
Answer:
Every repeating or terminating decimal is a rational number
Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.
