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Alenkinab [10]
3 years ago
7

In circle a, arc mCFE is 240 degrees what is the measure of angle CAE

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
6 0
120 because its a circle and 360-240 =120
FromTheMoon [43]3 years ago
4 0

Answer: The measure of angle CAE = 120°.

Step-by-step explanation:

Since we have given that

In a circle a, m∠CFE = 240°

We need to find the angle i.e.m∠ CAE .

As we know the theorem, that the measure of its intercepted arc is double the measure of an inscribed angle.

Here, in our case, the measure of an inscribed angle is m∠CFE = 240°.

So, the measure of its intercepted arc i.e. m∠ CAE  is given by

\frac{1}{2}\times 240^\circ\\\\=120^\circ

Hence, the measure of angle CAE = 120°.

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Answer:

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You want to find the equation for a line that passes through the two points:

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The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,17), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=17.

Also, let's call the second point you gave, (2,33), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=2 and y2=33.

Now, just plug the numbers into the formula for m above, like this:

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y=16x+b

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To find b, think about what your (x,y) points mean:

(1,17). When x of the line is 1, y of the line must be 17.

(2,33). When x of the line is 2, y of the line must be 33.

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You can use either (x,y) point you want..the answer will be the same:

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See! In both cases we got the same value for b. And this completes our problem.

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