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NNADVOKAT [17]
3 years ago
10

The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from

points B to D. The measurements shown represent miles.
What is the sum of the lengths of the two trails?

6 miles
12 miles
16 miles
36 miles

Mathematics
2 answers:
Andreyy893 years ago
8 0

Walking trails AC and BD represent the diagonals of the parallelogram ABCD. As known the diagonals of the parallelogram bisects each other.

Then

  • DE=BE;
  • AE=CE.

Since DE=BE, then

y+2=3y-4,

2y=6,

y=3.

And BD = y+2+3y-4=3+2+9-4=10 miles.

Since y=3 miles and AE=CE, then

AC=2CE=2(2y-3)=2(6-3)=6 miles.

The  sum of the lengths of the two trails is

AC+Bd=10+6=16 miles.

Answer: correct choice is C

Lostsunrise [7]3 years ago
6 0

Answer:

Its 16 or C

Step-by-step explanation:

math stuff

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The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=29, mean of x= 49.98
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Answer:

we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

Step-by-step explanation:

Given data

n=29

mean of x = 49.98 mm

S = 0.14 mm

μ = 50.00 mm

Cl = 95%

to find out

Can we be 95% confident that machine calibrated properly

solution

we know from t table

t at 95% and n -1 = 29-1 = 28 is  2.048

so now

Now for  95% CI for mean is

(x - 2.048 × S/√n  ,  x + 2.048 × S/√n )

(49.98 - 2.048 × 0.14/√29  ,  49.98 + 2.048 × 0.14/√29 )

( 49.926757  ,  50.033243 )

hence we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

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When y=20 , x is −5.

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Step-by-step explanation:

i hope this helped

6 0
2 years ago
Can someone help me please?
Elena-2011 [213]
<h3>Answer:  4368 square feet</h3>

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

  • In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
  • In the upper right corner, we have an area of 70*6 = 420
  • In the lower left corner, we have an area of 50*8 = 400
  • In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

8 0
2 years ago
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