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2 years ago

Find x in circle O (The figure is not drawn to scale)

Mathematics

1 answer:

KIM [24]2 years ago

4 0

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

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Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x

lapo4ka [179]

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3 years ago

The sum of two numbers is 53 and the difference is 15 . What are the numbers?

Stells [14]

Answer:

34 and 19.

Step-by-step explanation:

Since the sum of the two numbers is 53, x+y=53. Since the difference is 15, x-y=15.

Adding x+y=53

and x-y=15,

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4 years ago

Read 2 more answers

M+1 3/8=5 What does m equal?

Arte-miy333 [17]

$\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}$

Solution:

Given that we have to find the value of "m"

Given expression is:

$m + 1\frac{3}{8} = 5$

Let us first convert the mixed fraction to improper fraction

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

$1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}$

Now the expression becomes,

$m + \frac{11}{8} = 5$

Keep the variable "m" on L.H.S and move the constant to R.H.S

$m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}$

Thus value of m is equal to 3.625 or $\frac{29}{8} \text{ or } 3\frac{5}{8}$

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3 years ago

Given f(3)=7 and f(5)=252 write the first 6 terms of the sequence. no decimals

finlep [7]

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notice, once we know what the common factor "r" is, from the 3rd term we can simply multiply it by "r" to get the next term, and divide the 3rd term by "r" in order to get the previous term, namely the 2nd term, and then divide the 2nd by "r" to get the 1st one.

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3 years ago

43,000 rounded to the nearest thousand

fgiga [73]

It's already rounded

4 0

4 years ago

Read 2 more answers

Find x in circle O (The figure is not drawn to scale)​

Find x in circle O (The figure is not drawn to scale)