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3 years ago

Equilateral triangle ABC is inscribed in Circle O. Use the diagram to find the following measures.

Mathematics

2 answers:

stich3 [128]3 years ago

6 0

If triangle ABC is equilateral, then its three angles are equal to 60°:
m <ACB = m <ABC = m <BAC = 60°

The arc AB is contained by the <ACB, the:
m <ACB=[m arc(AB)]/2
Replacing m<ACB by 60° in the equation above:
60°= [m arc(AB)] / 2
Solving for m arc(AB):
2*60°=2*[m arc(AB)]/2
120°= m arc(AB)
m arc(AB)=120°

Answer: m arc(AB)=120°

Luba_88 [7]3 years ago

3 0

There is not enough information

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kondor19780726 [428]

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3 years ago

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alexandr1967 [171]

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4 years ago

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aniked [119]

Answer:

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3 years ago

Read 2 more answers

Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

Use a graphing calculator or online application to find the solutions to x^2-9 =6sqrt3/x to the nearest tenth.

Olegator [25]

Answer:

{-1.7, 3.5}

Step-by-step explanation:

I find it convenient to graph the difference of the two sides of the equation. That difference is zero when the equation is satisfied. This equation has two solutions, near x = -1.7 and x = 3.5.

4 0

3 years ago