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pentagon [3]
2 years ago
6

The angles of a triangle are equal to x, x+4 and 20x. What is the measure of the largest angle of the triangle?

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

  160°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...

  x + (x +4) + 20x = 180

  22x +4 = 180 . . . . . . . . . . collect terms

  22x = 176 . . . . . . . . . . subtract 4

  x = 8 . . . . . . . . . . . divide by 22

  20x = 160 . . . . find the largest angle

The measure of the largest angle is 160°.

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Can someone help this is hard
Svetlanka [38]
They are linear pairs
3 0
3 years ago
-x^4y^2+7x^3y^3-3xy^5+2x^2y^4 in descending powers of x
muminat

Answer:

  -x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5

Step-by-step explanation:

The powers of x in the terms of the given expression are ...

  4, 3, 1, 2

so, we want to swap the last two terms to put them in the desired order:

  -x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5

6 0
3 years ago
Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver fi
Nadya [2.5K]

Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

16% of drivers have a reaction time less than 1.78 seconds

84% of drivers have a reaction time less than 2.02 seconds

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

0.05*0.5 = 0.025

2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

5 0
3 years ago
**8. At a buffet restaurant, the price for dinner for an adult is $6.95 and the price for dinner for a child is $3.95. A
qaws [65]

Answer is A

Step-by-step explanation:

3 0
3 years ago
Alan deposited $300 into a savinga account. At the end of the first year, the amount of money in the account has increased to $3
Step2247 [10]
He had put in $300 and got out $336 at the end of the year.
This means an increase of $36 over a year.

10% of $300 = $30 dollars
This shows that he definitely got more than a 10% increase.

Alan got $6 more than $30 so to find 6 from 30, you divide by 5

so ( 10% = $30 ) divided by 5 = ( 2% = $6 )

Adding the amount of money and percentages gives you 12% = $36

So the amount of mpercentage increase is 12%

Overall the amount of money in his bank now compared to when he deposited it, he has 112% in the bank.
4 0
3 years ago
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