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sweet-ann [11.9K]
3 years ago
13

Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases.

Mathematics
2 answers:
Viktor [21]3 years ago
4 0
M(b/2 ,c/2 )
Midpoint of BD=((a+d)/2 ,c /2 )
slope of AB = 0
Slope of MN =((c/2-c/2)/ ((a+d)/2-c/2 ))=0
notsponge [240]3 years ago
4 0

M = (d/2, c/2)

N = (a+b/2, c/2)

MN = a+b-d/2

AB = a

CD = b - d

MN = 1/2 (a + b - d)

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3 years ago
I am confuse how to solve this problems help!!!!
KatRina [158]
The ratio of selling price to cost price is. 3.65 : 1.72

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x : 28.50

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5 0
3 years ago
A group of physical education majors was discussing the heights of female runners and whether female runners tended to be tall,
Anna11 [10]

Answer:

The 90% confidence interval for the mean µ of the population of female runners.

( 65.0328 , 66.5672)

Step-by-step explanation:

<u>Step(i)</u>

Given  A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches.

Given sample size is n = 12 <30 so small sample

Given sample mean (x⁻) = 65.80 inches

sample standard deviation (S) = 1.95 inches.

<u>Step(ii)</u>

Assume the population is approximately normal.

The 90% confidence interval for the mean µ of the population of female runners.

(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} +t_{\alpha } \frac{S}{\sqrt{n} } )

substitute  all above interval

(65.80 - t_{\alpha } \frac{1.95}{\sqrt{12} } ,65.80 +t_{\alpha } \frac{1.95}{\sqrt{12} } )

The degrees of freedom γ=n-1 = 12-1=11

From t- table = 1.363 at 90 % 0r 0.10 level of significance

(65.80 -1.363 \frac{1.95}{\sqrt{12} } ,65.80 +1.363 \frac{1.95}{\sqrt{12} } )

on calculation , we get

(65.80 -0.7672 ,65.80 + 0.7672)

( 65.0328 , 66.5672)

8 0
3 years ago
What is the simplest fraction whose value is equal to the number (red heart) depicted on this number line. (Give your answer as
maks197457 [2]

Answer:

simplest fraction: 2 1/3         the tick marks split the number into 7 regions

Step-by-step explanation:

The red heart is on the 2 tick mark of the 6 ticks between 2 and 3. The answer is 2 2/6 which after simplifying if equal to 2 1/3.

6 0
3 years ago
Helppp!!!!! 2 questions answer both
yKpoI14uk [10]
1. The answer would be about 20.72, or 20.7142 if you don’t want the rounded version

2. The answer is -12.8
3 0
2 years ago
Read 2 more answers
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