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3 years ago

What is 2.11 in its as a mixed number

Mathematics

1 answer:

Sliva [168]3 years ago

6 0

$2.11=2+0.11=2+\dfrac{11}{100}=\boxed{2\frac{11}{100}}$

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Line ET is tangent to circle A and T, and the measure of arc TG is 46 degrees. What is the measure of Angle GET

kogti [31]

Answer:

$m\angle GET=67^o$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The measure of the external angle is the semi-difference of the arches it covers.

$m\angle GET=\frac{1}{2}[arc\ TN-arc\ TG]$

Remember that the diameter divide the circle into two equal parts

In this problem

TN is a diameter

we have

$arc\ TN=180^o$ ----> because is half the circle (TN is a diameter)

$arc\ TG=46^o$ ---> is given

substitute

$m\angle GET=\frac{1}{2}[180^o-46^o]=67^o$

7 0

3 years ago

Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

nikitadnepr [17]

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

Same slopes
Different y-intercepts

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

#LearnwithBrainly

5 0

2 years ago

There are 58 students enrolled in an art class. The day before the class begins, 10.3% of the students cancel. How many students

Sidana [21]

First, set up a proportion. 10.3% is the percentage of students who cancelled, but the question is asking for the students who are attending, so let’s use 89.7% to make it easier. The proportion would be x over 58 is equal to 89.7% over 100%. Multiply 58 by 89.7, giving you 5,202.6. Next, take 5,202.6 and divide it by 100. This should give you 52. 026, but it’s best to round this to 52. 52 students actually attend the art class, making this your final answer.

7 0

3 years ago

Three sets Venn diagram

Anon25 [30]

Answer:

I hope this helps a little bit