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3 years ago

6

I have no idea what I'm supposed to do here

1 answer:

Oxana [17]3 years ago

4 0

The answer is A.
All of the angles in a triangle add up to 180 degrees. For an angle to be obtuse, it has to be over 90 degrees. Therefore , when added together angle Z and Y must equal less than 90 degrees (since 180-90=90). Then you know that angle Z and Y are congruent (meaning their measures are the same), so each angle must be less than 45 degrees (since if one was say, 50, then the other has to be the same, making the two add up to 100 and the other angle being 80, so it wouldn’t be obtuse anymore). Hope that helps :)

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maxonik [38]

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2 years ago

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Explanation:

First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

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Note that both sine and cosine are negative because x is in the 3rd quadrant.

Recall the addition identities listed below:

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$\;\;\;\;\;\;= -\sin x = \dfrac{5}{13}$

$\cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta$

$\Rightarrow \cos(180 - x) = \cos180\cos x + \sin180\sin x$

$\;\;\;\;\;\;=-\cos x = \dfrac{12}{13}$

$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta}$

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$\;\;\;\;\;\;= -\tan x = -\dfrac{5}{12}$

Therefore, the expression reduces to

$\sin(180+x) + \tan(360-x) + \frac{1}{\cos(180-x)}$

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5 0

2 years ago

Mrs. Jennings had a 5/7 gallon of paint. She gave 1/7 gallon each to some students. How many students received paint if Mrs. Jen

Mumz [18]

You divied so your answer is 5 hope it helps

7 0

3 years ago

Read 2 more answers

Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2

notka56 [123]

Answer:

$x= 30.29 (1-0.223) = 23.54$

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

Step-by-step explanation:

For this case we assume the following notation:

$T= 30.29$ represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

$T = f*T + (1-f)T = f*T + x$

And we can solve for x from the previous equation like this:

$x = T - f*T$

Taking T common factor we got:

$x = T (1-f)$

And if we replace we got:

$x= 30.29 (1-0.223) = 23.54$

And the amount destined to the tip would be $fT = 0.223*30.29=6.75$

And if we add the two values we see that:

23.54+6.75 = 30.29 representing the total cost.

So then the correct answer for the question:

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

4 0

2 years ago