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Anna [14]
1 year ago
14

Steve determined the number of states each of his friends has visited. A number line goes from 0 to 44. The whiskers range from

1 to 40, and the box ranges from 4 to 10. A line divides the box at 8. Which statement must be true according to the box plot?
A. The data is skewed left and shows that half of Steve’s friends have visited 4 to 10 states.
B. The data is skewed left and shows that half of Steve’s friends have visited 10 to 40 states.
C. The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.
D. The data is skewed right and shows that half of Steve’s friends have visited 10 to 40 states.
Mathematics
2 answers:
coldgirl [10]1 year ago
6 0

Answer:

The answer is C.

Step-by-step explanation:

Because I just took the test

Mnenie [13.5K]1 year ago
4 0

Answer:

A

Step-by-step explanation:

I got it right on edge

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Note necessary facts about isosceles triangle ABC:

  • The median CD drawn to the base AB is also an altitude to tha base in isosceles triangle (CD⊥AB). This gives you that triangles ACD and BCD are congruent right triangles with hypotenuses AC and BC, respectively.
  • The legs AB and BC of isosceles triangle ABC are congruent, AC=BC.
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1. Consider right triangle ACD. The adjacent angle to the leg AD is 30°, so the hypotenuse AC is twice the opposite leg CD to the angle A.

AC=2CD.

2. Consider right triangle BCD. The adjacent angle to the leg BD is 30°, so the hypotenuse BC is twice the opposite leg CD to the angle B.

BC=2CD.

3. Find the perimeters of triangles ACD, BCD and ABC:

P_{ACD}=AC+CD+AD=2CD+CD+AD=3CD+AD;

P_{BCD}=BC+CD+BD=2CD+CD+AD=3CD+AD;

P_{ABC}=AC+BC+AB=2CD+2CD+AD+BD=4CD+2AD.

4.  If sum of the perimeters of △ACD and △BCD is 20 cm more than the perimeter of △ABC, then

P_{ACD}+P_{BCD}=P_{ABC}+20,\\ \\3CD+AD+3CD+AD=4CD+2AD+20,\\ \\6CD+2AD=4CD+2AD+20,\\ \\2CD=20.

5. Since AC=BC=2CD, then the legs AC and BC of isosceles triangles have length 20 cm.

Answer: 20 cm.

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Step-by-step explanation:

Consider the provided information.

Angle A C B is 90 degrees and angle A B C is 35 degrees.

The required figure is shown below:

We need to find the value of c.

Use the trigonometric function: \cos\theta=\frac{Adjacent}{Hypotenuse}

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Hence, the correct option is B) c=\frac{5}{\cos35^0}.

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