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
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Answer:
i tihnk it is = − 4 im sorry if it is wrong
Step-by-step explanation:
Answer:
As you noted, ∠PRS=80°. Take the triangle △TRS: we know two angles out of three, so that ∠TSR=45°. Now take the isosceles triangle △PTS: the two angles adjacent to the base PT are equal to 35°, so the third angle ∠PST=110° and then ∠PSR=65°. This is one of the two angles adjacent to the base of an isosceles trapezoid: knowing it, you can easily complete the solution.
Answer:
Step-by-step explanation:for the triangle GIF, angle g = 80
angle f = 42 since angle FBA = 138
so angle i = 180 - 42 - 80
= 58
Answer:
1 /2
Step-by-step explanation:
Sample space of number cube : (1, 2, 3, 4, 5, 6)
Odd numbers on cube : (1, 3, 5) = 3 odd numbers
Since each roll of number cube is independent, the number of times it has landed between fire does not matter :
Therefore, probability of landing on a odd number is :
P = required outcome / Total possible outcomes
P = 3 / 6
P = 1/2