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Mathematics 22 Online
OpenStudy (shandadiane12):

f the measure of angle "CEB" is equal to 8x-6, solve for x.

OpenStudy (shandadiane12):

OpenStudy (kittiwitti1):

What kind of angle is CEB?

OpenStudy (shandadiane12):

Right?

OpenStudy (kittiwitti1):

Correct. And how many degrees is a right angle? \(<CEB=8x-6=?°\)

OpenStudy (shandadiane12):

If you're saying 90 is the answer, I have tried it and it's told me the answer was wrong :(

OpenStudy (kittiwitti1):

Hmm, that's odd... they haven't given any hints otherwise for the possible angle measurement.

OpenStudy (kittiwitti1):

And seeing as AB is perpendicular to CD it *should* be a right angle...

OpenStudy (kittiwitti1):

@mathmate could you perhaps assist in this? I'm lost, sorry

OpenStudy (shandadiane12):

I went ahead and tried it again, and it went ahead and told me X=12?

OpenStudy (kittiwitti1):

Eh... that's weird

OpenStudy (kittiwitti1):

Because that gets you 90 ?

OpenStudy (kittiwitti1):

Wait... did you put 90 for x? e_e

OpenStudy (mathstudent55):

You need to solve for x, not for the measure of the angle.

OpenStudy (mathstudent55):

You are correct that the measure of angle CEB is 90 since you correctly stated that angle CEB is a right angle.

OpenStudy (mathstudent55):

Now set the expression that the measure of angle CEB equals, 8x - 6 equal to 90, and solve for x. \(8x - 6 = 90\) Solve the equation for x.

OpenStudy (mathmate):

@shandadiane12 Whenever you have queries about an incorrect answer, I suggest you post the answer you actually gave the computer. Otherwise there could be lots of misunderstandings. Also, when you solve a problem, provide the details on how you solved it. @kittiwitti1 suggested you solve 8x-6=90 degrees. So did you solve for x, and what did you get? Did you just put 90 as the answer? Perhaps that's where the problem is.

OpenStudy (kittiwitti1):

OpenStudy (kittiwitti1):

Established facts are: 1. the angle CEB is 90° (due to perpendicular lines intersecting) 2. the angle CEB also equals 8x-6 Conclusion: angle CEB is this -\[90°=8x-6\]

OpenStudy (mathstudent55):

The important thing is to realize what the problem is asking for. In this case, it asks for the value of x, not the measure of angle CEB.

OpenStudy (mathstudent55):

@kittiwitti1 That is correct. Now just solve the equation for x.

OpenStudy (shandadiane12):

I did post what I gave the computer. which was 90. it wasn't the right answer. The lesson went ahead and told me the answer was x=12. Not 90.

OpenStudy (mathmate):

@mathstudent55 @kittiwitti1 is not the OP, @shandadiane12 is the OP!

OpenStudy (shandadiane12):

I'm just confused on how the answer was 12? I suck a geometry in general, so "easy math" is so confusing.

OpenStudy (kittiwitti1):

It's algebra. If \(x=12\) then you would have the equation \(8(x)-6\) which becomes \(8(12)-6=96-6=6.\) LOL @mathmate and @mathstudent55

OpenStudy (mathstudent55):

@shandadiane12 What is the problem asking for? Did you read it carefully?

OpenStudy (mathmate):

@shandadiane12 You were asked: `Correct. And how many degrees is a right angle?` `<CEB=8x−6=?°` so you have correctly answered 90 degrees for the right-hand side of the equation. But as @mathstudent55 said, the question is asking you for the value of x. Do not hesitate to communicate in complete sentences. This will avoid a lot of misunderstandings.

OpenStudy (kittiwitti1):

Oops, 96-6 is 90. I slipped up

OpenStudy (mathstudent55):

\(\large \bf If ~the ~measure ~of ~angle ~CEB~is ~equal ~to ~8x-6,\) \(\LARGE \bf \color{red}{solve ~for ~x.}\)

OpenStudy (mathstudent55):

1. The measure of angle CEB is equal to 8x - 6. 2. Lines AB and CD are perpendicular. 3. Angle CEB is a right angle. 4. The measure of a right angle is 90. 5. 8x - 6 must equal 90 6. Solve the equation 8x - 6 = 90 for x.

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