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4 years ago

Which lines or segments are parallel? Justify your answer.

Mathematics

1 answer:

blagie [28]4 years ago

5 0

Answer:
BE and CG.

Reason:
According to the given diagram,
m∠E = m∠G.
This property defines parallel line segments.

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kumpel [21]

Answer:

0.75

Step-by-step explanation:

4 0

3 years ago

A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute.

Ilia_Sergeevich [38]

Answer:

Option B) In control as this one data point is not more than three standard deviations from the mean

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 104 rotations per minute

Standard Deviation, σ = 8.2 rotations per

We are given that the distribution of process is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

For x = 118

$z = \displaystyle\frac{118-104}{8.2} = 1.7073$

Thus, we could say that this data point lies within three standard deviations from the mean as:

$\mu - 3\sigma < x < \mu + 3\sigma\\104-3(8.2) < x < 104 + 3(8.2)\\79.4 < 118 < 128.6$

Thus, it could be said

Option B) In control as this one data point is not more than three standard deviations from the mean

6 0

4 years ago

Working together, jo and ralph can do the garden chores in 6 hours. it takes jo twice as long as ralph to do the work alone. how

creativ13 [48]

Let's say Ralph can do the chores in h hours, and Jo in 2h. Then:
1/h+1/2h=1/6
6+3=h
h=9
Ralph takes 9 hours working alone; Jo takes 18 hours
☺☺☺☺

3 0

4 years ago

A rectangle and a triangle with the same base and height have the same area. True or false

marin [14]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

The formula of an area of a rectangle:

$A_{\boxed{\ }}=lw$

l - length

w - width

The fromula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

b - base

h - height

If l = a and w = h, then

$A_\triangle=\dfrac{lw}{2}=\dfrac{1}{2}lw=\dfrac{1}{2}A_\boxed{\ }$

<em>The area of the triangle is equal to half the area of the rectangle with the same base and height.</em>

<em>The area of the rectangle is equal to twice the area of the triangle with the same base and height.</em>

5 0

3 years ago

Read 2 more answers

4 quarters are equal in value to 20 nickels.

Brums [2.3K]

Answer:

5 (5 nickels for every 1 quarter)

4 0

3 years ago