Answer:
69
Step-by-step explanation:
Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m
= 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m
+ m
m
+ m
= 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
Answer:
350 - 170 - 120 = r
Step-by-step explanation:
Identify the variable:
r = number of red pens
The total amount of pens ordered is 350 when adding all three colors of pens. This means we must add all of the colored pens to find the total number of pens, 350.
Write this as an equation:
170 + 120 + r = 350
Rewrite the equation to find r:
350 - 170 - 120 = r
10k+(-1)=4k+(-43)
10k-1=4k-43
Subtract 45 from both sides and add 1 to both sides:
6k=-42
Divide by 6 on both sides
k= -7
We have 12 8-ounce bottles, so altogether we have 12 * 8 = 96 ounces of bottled water. If it all costs $3.36, than one ounce of bottled water costs $3.36 / 96 = $0,035.