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:
brainly.com/question/11833983
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Answer:
all work is shown / pictured
Answer:
Fourth choice, 1/6
Step-by-step explanation:
15 + 8 + 10 + 12 + 15 = 60
Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
<u>Then at Silver Gym Sarah would spend:</u>
<u>And at Fit Factor she would spend:</u>
<u>Since total costs are same, the amounts will be equal:</u>
- 35+30x = 85 + 20x
- 30x - 20x = 85 - 35
- 10 x = 50
- x= 50/10
- x= 5
So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
