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2 years ago

If L | | m and m<8 = 109°, what is m<5

Mathematics

1 answer:

Karolina [17]2 years ago

4 0

Answer:

m∡5 = 71°

Step-by-step explanation:

m∡8 = m∡6

m∡6 + m∡5 = 180

180 - m∡6 = m∡5

180 - 109 = 71

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How can you use the measures of center and the range to compare two populations?

DochEvi [55]

The measure of center and range to be used to compare the population is the median and the inter quartile range.

<u>Explanation:</u>

You utilize the median and the interquartile range (IQR) to portray skewed distributions of information. To look at two populaces, utilize the mean and the MAD when the two populations are symmetric. Utilize the middle and the IQR when possibly one or the two circulations are slanted.

In statistics and probability theory, the median is the worth isolating the higher half from the lower half of an information test, a populace or a likelihood circulation. For an informational collection, it might be thought of as the "center" esteem.

8 0

3 years ago

The speed of a car after accelerating for 8 seconds is inversely proportional to its weight. The car weighs 1600 kg and accelera

STatiana [176]

Answer:

With 800 extra kg load: speed = 66.667 km/h

With 2400 extra kg load: speed = 40 km/h

Step-by-step explanation:

Let's call the weight of the car W = 1600 kg, and its speed after accelerating for 8 seconds with this weight S = 100 km/h

If we load the car with 800 extra kg, the total weight will be:

W2 = W + 800 = 2400 kg

The relation between the weights is:

W2 / W = 2400 / 1600 = 1.5

If the weight increased 1.5 times, the relation between the speeds will be 1/1.5 (as they are inversely proportional), so:

S2 / S = 1 / 1.5

S2 = S / 1.5 = 66.667 km/h

If we load the car with 2400 extra kg, the total weight will be:

W3 = W + 2400 = 4000 kg

The relation between the weights is:

W3 / W = 4000 / 1600 = 2.5

If the weight increased 2.5 times, the relation between the speeds will be 1/2.5, so:

S3 / S = 1 / 2.5

S3 = S / 2.5 = 40 km/h

3 0

3 years ago

Read 2 more answers

{f(x)=2x+1 g(x)=x2+2x−8

n200080 [17]

The value of g(x) = 2[f(x)]² - 1 is g(x) = 8x² + 8x + 1

<h3>How to find a function?</h3>

f(x) = 2x+1

Find

g(x) = 2[f(x)]² - 1

Hence,

g(x) = 2[2x + 1]² - 1

g(x) = 2[4x² + 4x + 1] - 1

g(x) = 8x² + 8x + 2 - 1

g(x) = 8x² + 8x + 1

learn more on function here: brainly.com/question/1442153

#SPJ1

8 0

2 years ago

triangle AMY ~ MEG , AM = 5 MY=7 AY =3. MEG IS A DILATION of AMY by a scale facyor of 1/3. fimd the perimeter of MEG.

Mademuasel [1]

Answer:

Explanation:

From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.

So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;

$\begin{gathered} ME=5\ast\frac{1}{3}=\frac{5}{3} \\ EG=7\ast\frac{1}{3}=\frac{7}{3} \\ MG=3\ast\frac{1}{3}=3 \end{gathered}$

We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;

$\begin{gathered} \text{Perimeter of MEG}=\frac{5}{3}+\frac{7}{3}+3 \\ =\frac{5+7+9}{3} \\ =\frac{21}{3} \\ =7 \end{gathered}$

The perimeter of MEG is 7.

6 0

1 year ago

Please help ASAP!!!!!!!!!!

Alexxandr [17]

Value of x is 10

Step-by-step explanation:

Step 1: Here, x is the hypotenuse of the right angled triangle. Use the trigonometric ratio cosine to find x.

cos 28° = adjacent side/hypotenuse = 11/x

⇒ x = 11/cos 28° = 11/-0.96 = -11.46 ≈ 10 (rounding off to nearest tenth)

6 0

3 years ago