How can i solve this.

Calculate the m angle CLA , given m arc AC = 160° and m arc AKC = 200°.

crimeas [40]

When two tangent lines intersect, they form an angle that equals
one half (larger intercepted arc minus the smaller intercepted arc)

So, angle CLA = (1/2) (200 -160)
Angle CLA = (1/2) (40)
Angle CLA = 20 degrees

Source:
http://www.1728.org/circangl.htm

7 0

2 years ago

Read 2 more answers

An airplane flies with a constant speed of 620 miles per hour. How long will it take to

LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0

2 years ago

PLEASE HELP!

Mariana [72]

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Information Given:
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ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

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Since it is a parallelogram:
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ON = LM and
MN = OL

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ON = LM:
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7x - 9 = 6x + 4

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Subtract 6x from both sides:
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x - 9 = 4

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Add 9 to both sides:
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x = 13

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MN = OL:
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x - 7 = 2y - 7

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Sub x = 13:
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13 - 7 = 2y - 7

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Simplify:
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6 = 2y - 7

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Add 7 on both sides:
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13 = 2y

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Divide by 2:
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y = 13/2

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Answer: x = 13, y = 13/2 (Answer D)
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6 0

3 years ago

In the diagram, the radius of the outer circle is

JulijaS [17]

the value of x is 8 cm.

Step-by-step explanation:

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle = πr²

the outer circle area = $\pi(2x)^2 =4\pi x^2$

the inside circle area = $\pi (6)^2= 36\pi$

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ $\pi (4x^2)-36\pi =220\pi$

⇒ $x^2-9 =55$

⇒ $x^2=64$

⇒ $x =\sqrt{64}=8$

Therefore , the value of x is 8 cm.

5 0

2 years ago

A borrower earns $8,000/month and makes credit card and car note payments of $900. A conventional lender requires a 30% income r

Pavlova-9 [17]

Answer: The lendor will allow for $1500 for the housing expenses.

This lendor is allowing 30% for the debt. So, we start by multiplying 8000 times 0.3 which equals 2400.

However, we have to subtract the current debts of 900.
2400 - 900 = 1500

5 0

3 years ago