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o-na [289]
3 years ago
6

What is the value of x? Assume that the line is tangent to the circle.

Mathematics
2 answers:
Ganezh [65]3 years ago
5 0

The answer is 90 Degrees

..............................................

Rzqust [24]3 years ago
3 0
A line tangent to a circle is always perpendicular to the radius or the diameter to the circle. Since angle x has been formed by the intersection of the tangent line and the diameter of the circle the we can conclude that the the angle formed is:
x°=90°
Answer: A] 90°
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​Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$17 comma 90017,900
Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-17900=\frac{20300-17900}{4-1}(x-1)

y-17900=\frac{2400}{3}(x-1)

y-17900=800(x-1)

y-17900=800x-800

Add 17900 on both sides.

y=800x-800+17900

y=800x+17100

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

30700=800x+17100

Subtract 17100 from both sides.

30700-17100=800x

13600=800x

Divide both sides by 800.

\frac{13600}{800}=x

17=x

Therefore, in 17th year his income was $30,700.

5 0
3 years ago
A teacher surveys 30 students on the the number of books they read over the summer.The data are represented in the box plot what
Margaret [11]

Answer:

Wheres the plot?

Step-by-step explanation:

8 0
2 years ago
How many vertices and edges does a cuboid have
anastassius [24]
A  cuboid has 8 vertices and 12 edges
4 0
3 years ago
What is 60 increased<br> by 20%
valina [46]

Answer:

72.00

Step-by-step explanation:

hope this helps! :D

8 0
2 years ago
Simplify 4(5x - 6) - 4(2x + 1)<br><br> 12x - 5<br> 12x - 20<br> 12x - 28
Harman [31]
First use distributive property:
4(5x - 6) - 4(2x + 1)
20x - 24 - 8x - 4
Then add like terms:
12x - 28
7 0
2 years ago
Read 2 more answers
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