Using the picture above Find the measure of arc EF

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

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Is pop or country your favorite type of music?

Change This into a neutral question

Construct an equation for the expression: 3 less than 2 times a number is 7. Show the solution to the equation and prove your solution to be true through your work.

You shot a space capsule into an orbit around the space station.
The total weight of the capsule was 1,330 kilograms. If the devices
on board to regulate speed weighed one fourth as much as the fuel
tank and the power unit weighed one half as much as the fuel tank,
how much did the power unit weigh?
In this word problem, what are you asked to find?
CD
The weight of the power unit
b
The weight of the devices to regulate speed
с
The weight of the capsule
d
The weight of the container

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125 ft to yd what is the answer

Solve the equation of 4y=20 then find the value of y?

if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2

A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?

A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.

Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.

consider the following exam scores from a class of 8 students


55,65,77,79,84,89.91,99


What is the rank of the student that scored a 77 on the exam?

In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.

What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:

Please answer it. I will give brainliest if its correct..

How do I solve this?

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What is the solution to the equation 7.5 minus X =2.8?
Image above

A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?

Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Find the surface area of the hemisphere 6cm

What is the surface area of the solid shown below?

HELPP IMA GIVE YOU 15 POINTS
For which data-generating process would a binomial distribution be an appropriate model?

A.flipping a coin to decide whether test subjects should use their left or right hand


B.randomly choosing a letter of the alphabet to pick the first names of test subjects


C.spinning a three-part spinner to decide whether each trial subject should be a child, an adult, or a senior


D.spinning a four-part spinner to decide whether survey customers should be from eastern, southern, midwestern, or western states

Determine the volume if the figures below round to the nearest hundredth

In the figure below, EC || AB. Find the length of EC.

Select the best choice from the answers provided.
A.) 12.5
B.) 18
C.) 25
D.) 39.6

4(x+2) help please.

y=x+5
please help me with this problem I'm really struggling to answer the question.​

At which value in the domain does f(x) = 0?
2
2
4

A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?

A. 30-35

B. 65-70

C. 130-135

D. 265-270

5 + {[2 X (14 - 9)] - 1}​

Solve for x. please help as fast as possible