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timurjin [86]
3 years ago
8

Help please !! need it asap

Mathematics
1 answer:
defon3 years ago
4 0

Answer:

AB = 6

m∠F = 70°

Step-by-step explanation:

1.) This is isosceles, from the angles you can tell

2.) Angles F and D are equal, this is also a form of isosceles

180-40 = 140

140/2 = 70

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How do you find the area of this composite figure?
Illusion [34]
If you notice the picture below

the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it

so.. get the area of the trapezoid   \bf \textit{area of a trapezoid}=A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides or bases}
\end{cases}

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh

then, subtract the triangle's area from the rectangle's area

and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area

namely the area of the trapezoid plus the rectangle's, minus the triangle's

6 0
3 years ago
What is the median of 74,83,79,62,65,73
Allisa [31]

Answer:

Step-by-step explanation:

Median: 73.5

4 0
4 years ago
2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probabili
Fed [463]

Answer:

A

The value is P( X  <  7 ) =0.26226

B

The value is P( X  <  7 ) = 0.00073

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 7.7 lbs

   The standard deviation is \sigma  = 1.1 \ lbs

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     P( X  <  7 ) =  P( \frac{X - \mu }{\sigma}  <  \frac{7 - 7.7 }{1.1 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

=>   P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    P(Z

=>   P( X  <  7 ) =0.26226

Generally the standard error of mean is mathematically represented as  

       \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>     \sigma_{x} = \frac{ 1.1  }{\sqrt{25} }

=>     \sigma_{x} = 0.22

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         P( \= X  <  7 ) =  P( \frac{\= X - \mu }{\sigma_{x}}  <  \frac{7 - 7.7 }{ 0.22 } )

=>      P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      P(Z

=>      P( X  <  7 ) = 0.00073

4 0
3 years ago
What is the equation of the line connecting (1,5) and (4,14)?
german
To find the slope of the line:
(y2-y1)/(x2-x1)
(14-5)/(4-1)=(9)/(3)=3

Only one of your 4 possible answers has 3 as a slope. However, plugging in each point into the y=mx+b equation, the y-intercept consistently comes out as 2..
y=mx+b
14=3(4)+b  b=2
5=3(1)+b    b=2
y=3x+2
If there is a consistent, positive slope (from your question, this does not seem to have a quadratic as an option), 3x+5 is not even a viable solution because x=1 when the y-value is 5 (and thus no other x value {0} could have a y-value of 5). It seems as though you have a typo on your hands. Hopefully this helps?
3 0
3 years ago
What is the measure of angle GFH?
love history [14]
Your answer is A.99
8 0
3 years ago
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