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2 years ago

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How to find length of midsegment

1 answer:

sweet-ann [11.9K]2 years ago

8 0

SOLUTION: The length of the midsegment of the trapezoid is about the width of the shelf. By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

Hope this helps ;)

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Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)

Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})$

This is supposed to be equal to: (0,2).

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)$

We can equate, corresponding coordinates to find m and n.

$\frac{4.5m - 1.5n}{m + n} = 0$

This implies that:

$4.5m - 1.5n = 0$

$4.5m = 1.5n$

$\frac{m}{n} = \frac{1.5}{4.5}$

$\frac{m}{n} = \frac{1}{3}$

Therefore the ratio is m:n=1:3

4 0

2 years ago

Find y<br>Solve the simultaneous <br>equations<br><br><br>3x + 2y = 27 3x - Y = 9<br>

lutik1710 [3]

Answer:

$y = 6$

Step-by-step explanation:

To find $y$ , we need to eliminate $x$ in this system of equations:

$3\cdot x + 2\cdot y = 27$ (1)

$3\cdot x - y = 9$ (2)

From (1) and (2):

$x = \frac{27-2\cdot y}{3}$

$x = \frac{9+y}{3}$

Then, we equalize both expressions and solve for $y$ :

$\frac{27-2\cdot y}{3} = \frac{9+y}{3}$

$27-2\cdot y = 9 + y$

$3\cdot y = 18$

$y = 6$

6 0

2 years ago

Find the y-intercept(s),k if any for the equation y=x^2-16

Lyrx [107]

$the\ y-intercept:\\\\y=x^2-16\ \ \ and\ \ \ x=0\ \ \ \Rightarrow\ \ \ y=0^2-16=-16$

5 0

3 years ago

Read 2 more answers

4 2/3 + 1 3/4 give your answer as a mixed number

Anna71 [15]

Answer:

6 5/12

Step-by-step explanation:

Given the expression :

4 2/3 + 1 3/4

The sum of the numbers :

4 2/3 + 1 3/4

14/3 + 7/4

L.C.M of 3 and 4 = 12

(56 + 21) / 12

77 / 12

= 6 5/12

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2 years ago

A bakery makes donuts at the rate of 225 per hour. How long will it take the bakery to fill an order of 500 donuts?

dem82 [27]

If I understood your question properly, it would take 2 hours for the company to fill an order of 500 donuts.

I hope you found this helpful! C:

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3 years ago

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