Answer:
See below
Step-by-step explanation:
The ratio of the secants is the same when set up as full length to external length.
Formula
MN/LN = QN/PN
Givens
LN = 22 + 14 = 36
MN = 14
PN = 32
QN = x
Solution
14/36 = x / (32) Multiply both sides by 32
14*32 / 36 = x Combine 14 and 32
448/36 = x Divide by 36 and switch
x = 12.4
Answers
PN (External) = 13 is the closest answer
Length LN = 36
Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
Answer:
D.) 10 2/3 square feet
Step-by-step explanation:
The area will change by
multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)
A = w*l
5/8 = w*10
w = (5/8)/10 = (5/8)*(1/10) = 5/80 = 1/16
w=1/16
Answer: Charlotte's 15 and Edgar's 7
Step-by-step explanation:
7*2=14
14+1 = 15
15 + 7 = 22