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pentagon [3]
3 years ago
15

Find the value of x.m<2= 10x + 10​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

The answer to your question is x = 3

Step-by-step explanation:

Data

m∠2 = 10x + 10

exterior angle = 110°

x = ?

Process

1.- Find the measure of the angle supplementary to the angle 110°. It will be angle y.

    180° = 110° + y

- Solve for y

     y = 180 - 110

     y = 70

2.- From the picture we conclude that the triangle is Isosceles because two of its sides measure the same.

In an Isosceles triangle two of its angles measure the same so,

       180° = 70° + 70° + ∠2

- Solve for ∠2

       ∠2 = 180 - 70 - 70

       ∠2 = 40

3.- Find x

      10x + 10 = 40

Solve for x

      10x = 40 - 10

      10x = 30

          x = 30/10

          x = 3          

     

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Answer:

Point slope form

                 y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the points are (1,9) and (-1,1)

slope of the line

                m = \frac{y_{2}-y_{1}  }{x_{2} - x_{1} }

               m = \frac{1-9}{-1-1}

             m = 4

<u><em>step(ii):-</em></u>

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

                     y-y₁ = m( x-x₁)

                   y - 9 = 4(x-1)

                  y -9 = 4x-4

           4 x - y -4+9 =0

          4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is    4 x - y +5=0

7 0
2 years ago
Solve:<br> (3 × 9) + (5 + 8) + (33 ÷ 3) =
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Answer:

its 51

Step-by-step explanation:

8 0
3 years ago
Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he h
castortr0y [4]

Answer: 72 cars.

Step-by-step explanation:

Let be "x" the number of toys that Moby had to start with.

According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

\frac{1}{2}x

Then he bought 12 more cars, giving a total amount of 48 toy cars.

Therefore, the equation that represents this situation is the equation shown below:

x-\frac{1}{2}x+12=48

Now you must solve for "x" in order to find its value.

You get that this is:

\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72

7 0
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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

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Margin of error:

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The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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