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3 years ago

In circle C, what is the value of x?

Mathematics

2 answers:

Natali5045456 [20]3 years ago

8 0

If c lies on diameter the angle in a semicircle.therefore another angle is 90.then by angle sum property it’s 22 degree

Zinaida [17]3 years ago

4 0

Answer:

x=22 degrees

Step-by-step explanation:

We are given a circle C

Centre is at C

A line passes through the centre makes angle x and 68 on either side

A triangle is formed with angles x, 68 and another angle at the circumference.

Since the line passing through the centre is diameter of the circle, we have

the third angle of the triangle = 90 degrees ( BY semi circle angle theorem)

In the triangle sum of three angles

=90+x+68 =180

x =22 degrees

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3 years ago

Read 2 more answers

G. Write the equation of the line in slope-intercept form.

Neko [114]

Answer:

y= x-2
y = 4/5 x+39/5

Step-by-step explanation:

$(3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2$

$(-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5$

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3 years ago

In which quadrant does the terminal side of a 118° angle lie?

Lemur [1.5K]

We know that
The angle starts from the positive x axis direction and goes in the anti-clockwise direction:
so
angles between 0 and 90 degrees are in the I quadrant. 
angles between 90 and 180 degrees are in the II quadrant
angles between 180 and 270 degrees are in the III quadrant
angles between 270 and 360 degrees are in the IV quadrant

angle 118 degrees It is between 90 and 180 degrees

therefore

the answer is
II quadrant

8 0

3 years ago