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 amount of flour Mrs.Stewart needs for 5 cups of shortening 
cups.
Step-by-step explanation:
Mrs.Stewart pie dough needs 
cups of shortening for 
cups of flour.
Now we assume that the shortening needed for 
cups of flour is 
cups.
Accordingly we can arrange the ratios.
So for one cup of shortening how many cups of flour is needed we have to use the unitary method:
Plugging the value of 
as it is number of cups of shortening Mrs.Stewart have used.
And multiplying both sides with 
.
Number of cups of flour needed when cups of shortenings are used 
.
So, 
The amount of floor Mrs.Stewart needed for cups of shortening 
cups of floor.
Answer:
7 hours
Step-by-step explanation:
47+23=70
1hour = 70 toys
? = 490 toys
Then you cross multiply:
1hour*490 toys= 490/70 = 7 hours
____________
70 toys
This is all I could do for now. Hope It helps!
Answe10/5 - 5/5 = 5/5
Step-by-step explanation:
