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2 years ago

A central angle in a circle measures 120°. What is the measure of its intercepted arc?

Mathematics

2 answers:

Evgesh-ka [11]2 years ago

7 0

My answer came out to be 180.

nydimaria [60]2 years ago

4 0

120 is the measure of the intercepted arc.

Hope this helps :)

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Line WX and line YZ intersect at point V. If angle WVY = 4a + 58 and angle XVY = 2b - 18, find the values of a and b so that lin

amid [387]

we know that

If line WX is perpendicular to line YZ

then

see the attached figure to better understand the problem

m∠WVY=90°--------> 4a+58=90-----> 4a=90-58-----> a=32/4------> a=8°

m∠XVY=90°--------> 2b-18=90----> 2b=90+18------> b=118/2-------> b=59°

therefore

the answer is

a) The value of a is 8 degrees

b) The value of b is 59 degrees

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2 years ago

a rectangle is 14 centimeters long if the width of the rectangle is half of the length calculate the area of the rectangle

Varvara68 [4.7K]

Answer:

98 cm²

Step-by-step explanation:

area of rectangle = length * width

length = 14 cm, width = 14/2 = 7 cm

area = 14 * 7 = 98 cm²

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1 year ago

You and a friend fill balloons with water. Two out of every 25 balloons pop while they are being filled. What percent of the bal

Svetach [21]

Answer:

92% do not pop

Step-by-step explanation:

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2 years ago

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2 years ago

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Candy has observed 250 sports cars at an intersection and found that 15% did not make a complete stop. Candy tells you that the

Julli [10]

Answer:

The confidence level of the study is 99.9%

The confidence level is 99.9% of the margin error is 8%

Step-by-step explanation:

Explanation:-

Candy has observed 250 sports cars

The sample size 'n' = 250

Sample proportion 'p' = 15% = 0.15

The margin of error = 8% = 0.08

The margin of error is determined by = $\frac{z_{\alpha }\sqrt{p(1-p)} }{\sqrt{n} }$

$0.08 X \sqrt{250} = z_{\alpha } \sqrt{0.15 (1-0.15)}$

$\frac{ 0.08 X \sqrt{250}}{ \sqrt{0.15 (1-0.15)}} = z_{\alpha }$

$z_{\alpha }= \frac{ 0.08 X \sqrt{250}}{ \sqrt{0.15 (1-0.15)}} = \frac{1.2649}{0.35707}$

$z_{\alpha } = 3.5431$

Conclusion:-

The z- score of 99.9% level of significance = 3.54 for two tailed test

Hence the confidence level is 99.9% of the margin error is 8%.

3 0

2 years ago