The value of x is 2 and the length of JK is 4
<h3>How to solve the unknown variables?</h3>
The given parameters from the circle are:
- Center = Point S
- Segment JK = 8
- Segment LK = 2x + 4
- Congruent SN = SP = 7
The lines SR and SQ are the radii of the circle P
This means that lines JK and JL are congruent
So, we have:
JK = KL
Substitute LK = 2x + 4 and JK = 4
4 = 2x + 4
Rewrite the above equation as:
2x + 4 = 8
Subtract 4 from both sides
2x + 4 - 4 = 8 - 4
Evaluate the difference
2x = 4
Divide both sides by 2
2x = 4/2
This gives
x = 2
Substitute x = 2 in LK = 2x + 4
LK = 2*2 + 4
Evaluate the product of 2 and 2
LK = 4 + 4
This gives
LK = 8
The point N divides JK into 2 equal segments
So, we have
JN = JK/2
JN= 8/2
JN = 4
Hence, the value of x is 2 and the length of JK is 4
Read more about circles at:
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Answer:
x = 42.9 m
Step-by-step explanation:
Corresponding sides of similar triangles MAB and MNP are proportional. This means ...
x/MP = MA/MN
However, we don't have a number for MA yet, so we need to find it.
MA +AN = MN
MA = MN - AN subtract AN
MA = 67.2 m - 32 m = 35.2 m
Now, we can use this to find x.
x = MP · (MA/MN) = (81.9 m) · 35.2/67.2
x = 42.9 m
Answer:
1.- He received 388 dollars in exchange.
2.-(100 x 4) - (7.00 + 5.00)
= 400 - 12
= 488
3.- I buy 15 basketballs.
And I buy 6 soccer balls.
4.- (135 ÷ 9) (48 ÷ 8)
= 15, 6
Step-by-step explanation:
I hope I have helped you can you put that this is the smartest answer please?
Divide 13 by 3.
If there is a remainder, keep that as fraction.
.
4 1/3
12/3=4
4= whole number
13-12=1
1/3
4 + 1/3 = 4 1/3
Your answer is 4 1/3
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