How do I find the measurement of this ARC m<IEF

Mathematics

1 answer:

andrey2020 [161]4 years ago

4 0

The measure of a central angle is equal to measure of a minor arc. That makes m<GEH=17x+12. By the Vertical Angles Theorem, m<GEH and m<IEF are equal to each other (m<GEH=17x+12=m<IEF). By the same theorem, m<FEG and m<IEH are also equal (m<FEG=8x-7=m<IEH). The angles in a circle must all add up to 360 degrees, 2(17x+12)+2(8x-7)=360. Solve for x, then plug x into the equation for m<IEF.
Hope this helps!

You might be interested in

What represents the inverse of the function f(x)=4x

Yuki888 [10]

Answer:

$\frac{x}{4}$

Step-by-step explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x= $f^{-1} (y)$

Therefore,

y = 4x

x = $\frac{y}{4}$

as x= $f^{-1} (y)$

So,

$f^{-1} (y) = \frac{y}{4}$

replacing y by x in the above expression

$f^{-1} (x) = \frac{x}{4}$

So our inverse function is $\frac{x}{4}$

4 0

3 years ago

9,13,43,55 what is the mean absolute deviate (MAD) of their ages

lisov135 [29]

Answer:

The mean absolute deviation of this data $\{9,13,43,55\}$ is $MAD =19$ .

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include: