Answer:
n = 20.
Step-by-step explanation:
The external angles of a polygon add up to 360 degrees. So:
30 + 42 + 16(n - 2) = 360 where n is the number of sides of the polygon.
16n + 30 + 42 - 32 = 360
16n + 40 = 360
16n = 320
n = 20.
Answer:
Length of Chord QS = 33
Step-by-step explanation:
<u>Length of Chord QS</u>:
QW X WS = PW = WR
12(4x + 1) = 14(3x + 3)
48x + 12 = 42x + 42
48x - 42x = 42 - 12
6x = 30
x =
= 5
∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33
The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
Answer:
The number sold at $12.50 is 25
The number sold at $9.50 is 62
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
x 12.50 + y 9.50=901.50
x+y= 87
Where
x= number of pottery pieces sold
y= number of pottery pieces sold at a decreased price
Multiplying the second equation by 9.50, and subtracting the second equation to the first equation:
12.50 x + 9.50y = 901.50
-
9.50 x+ 9.50 y= 826.5
__________________
3 x = 75
Solving for x
x =75/3
x = 25
Replacing x=25 on any equation:
x+y= 87
25+y =87
y=87-25
y= 62
Answer:
They subtracted the values incorrectly
Step-by-step explanation:
The formula for finding the distance between two points is this:

The person subtracted the variables incorrectly and subtracted x1 from x2 and y1 from y2 instead of the other way around.
To correctly solve it, do this:
Hope this helped!