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const2013 [10]
3 years ago
9

Find the coordinates of the midpoint of the segment given its endpoints.

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2} (x₁ + x₂ ) , \frac{1}{2} (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ \frac{1}{2} (5 - 1), \frac{1}{2} (8 - 4 ) ] = (2, 2 )

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How quickly do synthetic fabrics such as polyester decay in landfills? A researcher buried polyester strips in thes oil for diff
ad-work [718]

Answer:

no enough evidence to draw up a conclusion

Step-by-step explanation:

Data:

let: \mu _{1} = decay after 2 weeks

    \mu _{2} = decay after 16 weeks

Making the hypotheses:

Null hypothesis; H_{o} = \mu _{1}  - \mu _{2} = 0

the deviation = 0.05

the standard difference  = 4

Conditions:

The normal distribution curve can be plotted on a graph and the plot shows that the distribution is a skewed distribution.

Then,

t = \frac{(123.8-16.4)-0}{\sqrt{\frac{4.6^{2} }{5}+\frac{16.09^{2} }{5}   } } \\  = 0.989

Therefore, it can be concluded that 0.1983 > 0.05. This presents our failure to reject the null hypothesis.

Thus, there is not enough evidence to conclude that polyester decays more in less than 2 weeks.

5 0
3 years ago
In the figure, lines a, b, and c are parallel and m∠4=68° . Drag and drop the correct angle measure for each angle. m∠1 = m∠2 =
melisa1 [442]
The complete question in the attached figure

we have that
<span>m∠4=68°

we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°

m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°

m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°

m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°

the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°



3 0
3 years ago
Read 2 more answers
Pleasseeee help I'll give you brainlest answer
guapka [62]
Hope you use this to learn!

5 0
3 years ago
I will give u a five dollar gift card plz help!!!
juin [17]

Answer:

1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

6 0
3 years ago
Read 2 more answers
Max is making a rectangular garden that is 5 feet less than twice it’s width. If the perimeter of the garden is 80 feet, what wi
gayaneshka [121]
4 times 80 hope I helped
8 0
3 years ago
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