46+19+54= 119, so the answer is 119
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
<h3>What is the Angles Intersecting Secants Theorem?</h3>
When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
Learn more about angles of intersecting secants theorem on:
brainly.com/question/1626547
The two whole numbers are 5 and 6 ⇒ 3rd answer
Step-by-step explanation:
To prove that a square root number lies between which two consecutive integers do that
- Find a square number less than the number under the root
- Find a square number greater than the number under the root
- Find the square root of the square numbers, they will be the two integers that the root lies between them
∵ The number is 
- Find a square number less than 29
∵ 25 is a square number
∵ 25 is less than 29
- Find a square number greater than 29
∵ 36 is a square number
∵ 36 is greater than 29
∴ 25 < 29 < 36
- Take √ for each number
∴ 
< < 
∵ = 5
∵ = 6
∴ 5 < < 6
The two whole numbers are 5 and 6
Learn more:
You can learn more about the numbers in brainly.com/question/9621364
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The function shown in the graph is a linear function, for a given linear function, the initial value is obtained at y-intercept. The y-intercept is the point where the graph cuts the y-axis. At this point the value of x is zero. Thus from the graph given, the point x=0 at y=2, hence the initial value is y=2.
Answer: y=2
