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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First we need to figure out how long YK is and the best way to do this is to set up a proportion
34 x
----- = ------
95.2 168
then cross multiply and divide
34 times 168=5712/95.2=60
then add the two parts of the line
60+34=94
X is 94 cm
I hope I've helped!
Step-by-step explanation:
as the denominator (x+3) is in both you need only one denominator to be multiplied in first rational number .
<u>2</u><u>x</u><u> </u><u>(</u><u>x-2</u><u>)</u><u>. </u><u> </u><u> </u>+ <u>5</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u>
(x+3) (x-2). (x+3) (x-2)
<u>2</u><u>x</u><u>^</u><u>2</u><u>-</u><u>4</u><u>x</u><u> </u><u>+</u><u>5</u><u> </u>
<u>(</u>x+3) (x-2)
it's cannot be solved after that.
Answer:
7.D) 107°
8. A) 123°
Step-by-step explanation:
To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)
90°+90°=180
180°+73°= 253°
360°-253°= 107°
The same for the second one. (those two angles would also be 90° each.)
90°+90°=180°
180°+57°=237°
360°-237°=123°
