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Athenax
16.07.2020 •
Mathematics
Study the diagram of circle V, where two chords, JK¯¯¯¯¯¯¯¯ and LM¯¯¯¯¯¯¯¯¯, are equidistant from the center.
If JK=3x+19 and LM=6x+7, what is the length of segment JK?
15.5
4
24
31
3
Solved
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Ответ:
Option (4). 31
Step-by-step explanation:
Although the figure attached is not clear, but the question itself is self explanatory.
Theorem of a circle says,
"Two chords equidistant from the center of a circle, measure the same in length."
Therefore, JK ≅ LM
m(JK) = m(LM)
3x + 19 = 6x + 7
3x - 6x = 7 - 19
-3x = -12
x =![\frac{12}{3}](/tpl/images/0707/5641/be5fd.png)
x = 4
m(JK) = 3x + 19
= 3(4) + 19
= 12 + 19
= 31
Therefore, length of JK is 31 units.
Option (4) will be the answer.
Ответ:
2 over 5
Step-by-step explanation:
This means out of 5 students only three did their work so 5-3=2
And the number of students who did their work over the total number of students in the class to find the probability