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3 years ago

Assume that y varies inversely as x. If y = -8 when x = -9, find y when x = 4.

1 answer:

6 0

Y α 1/x

y = k/x Where k is the constant of proportionality.

xy = k Cross Multiplying.

k = xy

Recall y= -8 when x = -9

k = -9 * -8 = 72

Finding y when x = 4.

k = xy

72 = 4y Divide both sides by 4.

y = 72/4 = 18.

y = 18.

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In AVWX, XV W X and mW - 27°. Find m_X.

SashulF [63]

Answer:

m<X = $126^{o}$

Step-by-step explanation:

From the given isosceles triangle, we have;

<W and <V as the base angles

So that,

m<W = m<V = 27 (base angles of an isosceles triangle are equal)

Thus,

m<X + m<V + m<W = 180 (sum of angles in a triangle)

m<X + 27 + 27 = 180

m<X + 54 = 180

m<X = 180 - 54

= 126

m<X = $126^{o}$

8 0

2 years ago

The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80

neonofarm [45]

Answer:

yes

Step-by-step explanation:

The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number

Since in the given data set as we can see that the 100 would be appeared 6 times

So this represent that the mode is 100

So here the mode would be the good measure

3 0

3 years ago

How to estimate 96 Times 34 what is the answer

Marrrta [24]

When it says to estimate, I always think of doing it by hand to show work. So set it up like this:

x 34

So follow it out multiplying across 4*6 and 4*9 carrying over as needed to get it to look like this:

x 34

384

Do the same for the 3 to get this:

x 34

384

2880

Add 384+2880=3264

Your final answer is 3,264

6 0

2 years ago

Use the distributive property to simplify the expression 5 ( − 1 x − 6 + 6 y )

expeople1 [14]

Answer:

the answer should be -5x - 30 + 30 y

3 0

2 years ago

Read 2 more answers

Find the measure of the exterior angle.

Illusion [34]

Answer:

108 degrees

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle = 108 degrees

Hence the measure of the exterior angle is 108 degrees

5 0

2 years ago