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2 years ago

Giving brainilest! Find the measures

Mathematics

2 answers:

galina1969 [7]2 years ago

7 0

Answer:

the answers are <1 = 118°, <2 = 62°

brilliants [131]2 years ago

5 0

Answer:

∠ 1 = 118° , ∠ 2 = 62°

Step-by-step explanation:

∠ 1 and 118° are corresponding angles and are congruent, then

∠ 1 = 118°

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°

∠ 2 + 118° = 180° ( subtract 118° from both sides )

∠ 2 = 62°

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Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) os located at (-2,1). What is the distance fr

Sergio039 [100]

Answer:

The distance from B to B' is 5 units

Step-by-step explanation:

The complete question is

Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?

we know that

In a translation the figure maintains its dimensions and internal angles

AA'=BB'=CC'=DD'

The distance BB' is the same that the distance AA'

<em>Find the distance AA'</em>

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(1,5),A'(-2,1)

substitute in the formula

$AA'=\sqrt{(1-5)^{2}+(-2-1)^{2}}$

$AA'=\sqrt{(-4)^{2}+(-3)^{2}}$

$AA'=\sqrt{25}$

$AA'=5\ units$

therefore

The distance from B to B' is 5 units

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2 years ago

Which Natural Numbers are not Integers?

Genrish500 [490]

Answer:

Step-by-step explanation:

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2 years ago

Given that the measure of ∠CBE is 135° find the measure of ∠BED. Assume that lines L and M are parallel.

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3 years ago

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Step-by-step explanation:

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2 years ago

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

8 0

2 years ago