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V125BC [204]
3 years ago
8

What is the length of the segment XY?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

xy = 12

Step-by-step explanation:

The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.

xy = (8 + 16)/2

xy = 24/2

xy = 12

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What is the surface area of the triangular prism?
horrorfan [7]
C)132
All you do is find the area of each flat surface and add them together.
(rectangle) A=w×h
(triangle) A=w×h/2
6 0
3 years ago
In order to remove water from a flooded basement, two pumps, each rated at 40 gallons per minute, are used. After half an hour,
Scrat [10]

Answer:

3600 gallons of water was removed from the basement.

Step-by-step explanation:

Given:

Rate of each pump = 40 gallons/min

We need to find find the number of gallons of water removed from the basement.

Solution:

Now Given:

After half an hour, the one pump burns out.

Now we know that;

1 hour = 60 mins

\frac12 hour = \frac{60}{2}=30\ mins

Now for 30 mins both the pumps were working and removing the water.

So we can say that;

Water remove for first 30 mins = 40\times2\times30=2400\ gallons

Also Given:

the second pump finishes removing the water half an hour later.

So we can say that;

Water removed for next 30 mins = 40\times 30\times1 =1200\ gallons

Now we can say that;

Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .

framing in equation form we get;

Total water removed from the basement = 2400+1200=3600\ gallons.

Hence 3600 gallons of water was removed from the basement.

6 0
3 years ago
In a test of a​ gender-selection technique, results consisted of 229 baby girls and 7 baby boys. Based on this​ result, what is
kirill115 [55]

Answer:

I'm pretty sure that the answer would be 229/236.

Step-by-step explanation:

Ok so. Since the results of the test is 229 for a girl and the results for a boy is 7. So i'm pretty sure what to do is combine both the results and keep that as the denominator. And then the numerator will be the result. So in this case the numerator would be 229 and the denominator would be 236.

I hope this helped, have a great day!!!

3 0
3 years ago
Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9
Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

3 0
3 years ago
What is an example of the Associative Property of Addition?
otez555 [7]
Associative property
(3 + 9) + 6 = 3 + (9 + 6)
7 0
3 years ago
Read 2 more answers
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