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3 years ago

What is the length of the line?

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Answer:

Step-by-step explanation:

You count the units.

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18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 ca

Blizzard [7]

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

$Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}$

When there are 3r-19 cats, there are 2r+1 mice

$2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)$

When there are 6r-27 mice, there are r-5 cats.

$6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)$

Taking the values of k above, we have:

$k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7$

Therefore:

$k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30$

8 0

3 years ago

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 36°

marusya05 [52]

Answer: The fourth option, 54°

Step-by-step explanation:

In the graph we can see that we have a triangle rectangle.

I will call each angle as the letter where it is located, the bottom angle is D, the upper left angle is C and the upper right angle is B (this last one is the angle we want to find)

This means that if the bottom angle, the angle located at D, is equal to 36°, we have that the angle located at C is equal to 90°.

And as you know, the sum of all the internal angles of a triangle must be equal to 180°, so we have:

D + C + B = 180°

90° + 36° + B = 180°

B = 180° - 90° - 36° = 54°

The correct option is the fourth one.

3 0

3 years ago

Find the coordinates of the vertices of the figure after the given transformation: T<0,7>

valentina_108 [34]

Answer:

Option A.

Step-by-step explanation:

The general transformation works as follows:

T<a,b>(x, y) = (x + a, y + b)

Then for our transformation, we will have:

T<0,7>(x, y) = (x, y + 7)

So now that we know how the transformation works, we need to apply it to the vertices.

Looking at the graph we can see that the vertices are:

X = (-4, -5)

W = (-3, -3)

L = (-5, -2)

Then the new points will be:

X' = (-4, - 5 + 7) = (-4, 2)

W' = (-3, -3 + 7) = (-3, 4)

L' = (-5, -2 + 7) = (-5, 5)

Then the correct option is A.

3 0

3 years ago

Can somebody help me outtt ?? pleaseee

jok3333 [9.3K]

Answer:

nope sorry I don't know this answer

I I would be knowing I surely tell you

really sorry

6 0

3 years ago

A pizzeria charges $ 7.99 for a simple pizza. A customer can add ingredients for $ 0.79 each. If x represents the number of ingr

vodka [1.7K]

Step-by-step explanation:

7.99 = 2.37x

Because we will multiply 0.79 x 3 = 2.37

7 0

3 years ago