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2 years ago

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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kupik [55]

Answer:

Nadia's total earnings in month is $3196.1

Explanation:

Given salary of Nadia is $3,300 per month including a 3.25% commission

The salary consists of fixed salary and commission

Therefore, Salary = Fixed salary + Commission

Assume the fixed salary to be x

Putting values in equation

3300 = x + 3.25% of x

3300 = x + $\frac{3.25}{100} x$

3300 * 100 = 103.25x

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x = $3196.1 per month

Therefore, the fixed salary of Nadia is $3196.1 per month

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3 years ago

A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p

Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where n= Sample size.

$\mu$ = Population mean

$\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation.

As per given , we have $\mu=120$ (average infants contracted typhoid each month)

$\sigma=40$

n= 4 (No. of months)

$\overline{x}=90$

Then , the value of the appropriate test statistic will be :

$z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}$

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8 0

3 years ago

What is the value of x and y when x = 9/4 and y = 3/5

zvonat [6]

Answer:

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Step-by-step explanation:

9/4 also equals 2 1/4'

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3 years ago

What are the zeros of the function? f(x)=+-6x

Step2247 [10]

The function given is a line with one zero at the center (0,0)

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3 years ago

Y=x-7 6x-6y=-7 elimination method

Archy [21]

Answer:

The system has no solutions.

Step-by-step explanation:

Let's write it in a more traditional form

$\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\$

Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.

Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd

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3 years ago