What type of angle is formed when the radius and a tangent intersect at the points of tangency?

Solve the inequality −22 + 4q > 2

Mars2501 [29]

First you had to add by twenty-two from both sides of equation form.

$-22+4q+22>2+22$

Then simplify by equation.

$4q>24$

Next, you divide by four from both sides of equation form.

$\frac{4q}{4}> \frac{24}{4}$

Finally, simplify by equation.

$24/4=6$

$24/6=4$

$6*4=24$

$4*6=24$

$q>6$

Final answer: $\boxed{q>6}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

8 0

3 years ago

HELP MEEEEE EASY DUE IN A MINSS What is the prime factorization of 990?

alex41 [277]

Answer:

11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.

Step-by-step explanation:

3 0

3 years ago

Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin

ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

Same slopes
Different y-intercept

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

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + $\frac{5}{2}$ x

∴ y = $\frac{5}{2}$ x - 5

- The value of m is the coefficient of x

∴ m = $\frac{5}{2}$

∴ The slope of the given line is $\frac{5}{2}$

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = $\frac{5}{2}$

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

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = $\frac{5}{2}$ (3) + b

∴ -5 = $\frac{15}{2}$ + b

- Subtract $\frac{15}{2}$ from both sides

∴ b = $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x - $\frac{25}{2}$

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0

3 years ago

Area = I need help I’m catching on up on school work and I’m failing math

MA_775_DIABLO [31]

Answer:

shouldn't it be 72 if not try 58

Step-by-step explanation:

5 0

3 years ago

The exam scores (out of 100 points) for all students taking an introductory Statistics course are used to construct the followin

ella [17]

Answer:

The inter quartile range is 55

Step-by-step explanation:

Interquartile range:-

Definition:-

The inter quartile range is the difference between the upper (Q3) and lower(Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest.

Interquartile range = higher quartile - lower quartile

given data 50.25.80.10

write the ascending order 10 25 50 80

Step:-1

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is

$({\frac{n+1}{2} })^{th}$ observations

Step2:-

The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is even, then the median is $({\frac{n}{2} })^{th}$

$({\frac{n+1}{2} })^{th}$

In given data the number of observations is '4'(even)

If the number of observations is even, then the median is $({\frac{n}{2} })^{th}$

$({\frac{n+1}{2} })^{th}$

median is $({\frac{4}{2} })^{th}$ is 2 observations and $({\frac{4+1}{2} })^{th}$ is 2.5 observations.

so we have to select average of these two observations.

therefore the median is '3' observation

median of the given data = 50

Step:3

Interquartile range = higher quartile - lower quartile

= 80-25

=55

3 0

3 years ago