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Sphinxa [80]
3 years ago
11

I need help please helppppppppppppppppppppppp

Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

Given:

A figure of a circle and two secants on the circle from the outside of the circle.

To find:

The measure of angle KLM.

Solution:

According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.

Using intersecting secant theorem, we get

\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))

(3x-4)=\dfrac{1}{2}(271-(x+6))

(3x-4)=\dfrac{1}{2}(271-x-6)

Multiply both sides by 2.

6x-8=265-x

Isolate the variable x.

6x+x=265+8

7x=273

Divide both sides by 7.

x=\dfrac{273}{7}

x=39

Now,

\angle KLM=(3x-4)^\circ

\angle KLM=(3(39)-4)^\circ

\angle KLM=(117-4)^\circ

\angle KLM=113^\circ

Therefore, the measure of angle KLM is 113 degrees.

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8 0
3 years ago
Read 2 more answers
How do I find the area of a circle with the diameter of 4
goblinko [34]

Answer:

use a = 1/4\pi d^2\\

all you have to do is plug 4 into d and then square it, and multiply everything together.

Step-by-step explanation:

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3 years ago
John buys 3 pounds of cherries and 2 pounds of bananas he pays a total of $24.95 the bananas cost $6.50 less per pound than the
Murrr4er [49]

John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.

Let: b=cost of banana per pound and c=cost of cherries per pound

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3c + 2b =$24.95

Equation 2: The cost of bananas is $6.50 less than a pound of cherries.

b= c - $6.50

We can substitute the second equation into the first one to solve for the cost of cherries per pound.

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Substituting the value of c to the second equation to solve for b.

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The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.

For more information regarding the system of equations, please refer to brainly.com/question/25976025.

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3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)

4. move the 10a on the right to the left by subtracting it to the other side.

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