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Inessa [10]
3 years ago
11

Solve for x no work needed

Mathematics
1 answer:
wariber [46]3 years ago
4 0

Answer:

\huge\boxed{82 \textdegree}

Step-by-step explanation:

We know that all angles in a triangle will add up to 180°. Since we know the measure of all 3 angles, we can create this equation:

31+x+(x-15) = 180

Let's solve for x.

Combine like terms:

31+2x-15=180

Add 15 to both sides:

31+2x=195

Subtract 31 from both sides:

2x=164

Divide both sides by 2:

x= 82

So x is 82°.

Hope this helped!

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the 3rd number line

Step-by-step explanation:

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the inequation is n>0

the circle inside should be the hallow one because it's "greater" not greater than or equal to.

n>0 means that n is greater than 0.

in the number line, ( the 3rd one)  n  is going away from 0. it's going greater than 0.

that is why this is the correct answer.

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Which of the following lists of ordered Pairs is a function?
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Step-by-step explanation:

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Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?
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2 years ago
At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
ExtremeBDS [4]

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

3 0
1 year ago
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