Answer:
Length of segment PZ = 6 units
Step-by-step explanation:
As per theorem of intersecting chords in a circle ;
"Product of lengths of line segments on each chord are equal".
From the figure attached,
Chords XY and WZ are intersecting at point P in a circle.
By theorem; XP × PY = WP × PZ
7 × 12 = 14 × PZ
PZ = 
PZ = 6 units
Therefore, length of the segment PZ = 6 units.
Answer:
Step-by-step explanation:
x=2
y=3
z=4
2+7=9
3+21=24
12+4=16
4+3=7
2*3=6
Using the midpoint concept, it is found that the value of a is of a = 2.
<h3>What are the coordinates of the points?</h3>
Researching this problem on a search engine, the coordinates are given as follows:
<h3>What is the midpoint concept?</h3>
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the following system of equations can be built:
(b + 1 + 2a)/2 = 3.
b + 1 + 2a = 6.
b = 5 - 2a.
(a + 2 + 3b + 3)/2 = 5
a + 3b + 5 = 10
a + 3b = 5.
Since b = 5 - 2a, we have that:
a + 15 - 6a = 5.
5a = 10
a = 10/5
a = 2.
The value of a is of a = 2.
More can be learned about the mid-point concept at brainly.com/question/10956693
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Answer:
B $13
Step-by-step explanation:
Julie has 16.73 That is approximately 17 dollars
She buys a purse that is 4.12. That is approximately 4 dollars
17 -4 = 13
She will have approximately 13 dollars left
