Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC = 
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,

The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
Answer:
x = - 2
Step-by-step explanation:

Answer:
6x/4-24=x-2
6x/4-24/1=x-2
(6x/4)1-(24/1)4=x-2
6x/4-96/4=x-2
(6x-96)/4=(x-2)/1
Then cross multiply to get this;
(6x-96)1=(x-2)4
6x-96=4x-8
6x-96+96=4x-8+96
6x=4x+88
6x-4x=4x-4x+88
2x=88
Divide both sides by 2
2x÷2=88÷2
x=44
Thank you.
BY GERALD GREAT.
The percent markup is 11.11 %
<em><u>Solution:</u></em>
Given that, the store buys 100 shirts at a cost of $ 2700
Let us find the cost of 1 shirt

The store sells them at $ 30 each
Therefore,
Cost price of 1 shirt = $ 27
Selling price of 1 shirt = $ 30
Markup price = Selling price - Cost price
Markup price = 30 - 27
Markup price = 3
Thus markup price is $ 3
<em><u>The percent markup is given as:</u></em>

Thus the percent markup is 11.11 %
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
__
<em>Check</em>
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed