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°
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<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:
okay
Step-by-step explanation:
Answer: { x | 5 < x ≤ 100 } OR { x ∈ ℝ | 5 < x ≤ 100 }
Step-by-step explanation:
{ x | 5 < x ≤ 100 }
This means:
"The set of all x's, such that x is greater than 5 and less than or equal to 100"
Another acceptable way to write this is
{ x ∈ ℝ | 5 < x ≤ 100 }
"x ∈ ℝ" simply means x is an element of all real numbers
Answer:
the answer is 85
Step-by-step explanation:
OREDR OF OPERATIONS IS
Parenthesis
exponents
multiple/divide
add/subtract
all in that order
Wesley will need 10 10-inch stones, and 9 5-inch stones.
Since he wants to begin and end the pattern with 10-inch stones, we put a 10 at the beginning and end.
10 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10 5 10
10 x 10-inch = 100 inches
9 x 5-inch = 45 inches
100 + 45 = 145 inches
