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Sladkaya [172]
1 year ago
5

#14

Mathematics
1 answer:
Oksanka [162]1 year ago
6 0

Answer:

Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.

Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.

Step-by-step explanation:

So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.

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A classroom has 2 bookcases that weigh 117 pounds altogether. If they all weigh the same amount, how much does each bookcase wei
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Answer:

58.5 pounds each.

Step-by-step explanation:

If two bookcases weigh 117 pounds and each weighs the same amount, each bookcase must weigh half of the total weight. 117/2 equals 58.5.

6 0
2 years ago
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Joseph has started completing the square on the equation 3x2 - 7x + 12 = 0. He has worked to the point where he has the expressi
tresset_1 [31]
3x^2 - 7x + 12 = 0 ....subtract 12 from both sides
3x^2 - 7x = -12 ....divide both sides by 3 to get x^2 by itself
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A line includes the points 2, 10 and 0, 2 what is its equation in slope intercept form ​
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Answer:

y = -4x + 2

Step-by-step explanation:

y = mx + b ( slope-intercept)

1. Find Slope:

\frac{y^2 - y^1}{x^2 - x^1}

Lets name 2 as y2 and 10 as y1. And 0 as x2 and 2 as x1.

\frac{2-10}{0-2}  =  \frac{-8}{2} = -4

m/slope = -4

2. Find y-intercept:

y = mx +b

2 = -4(0) + b

= 2 = b

Y-intercept/b = 2

3. Put into slope-intercept form:

y = mx + b

= y = -4x + 2

Hope that helps! :D

4 0
3 years ago
Sean is driving to visit his friend in another state.In the first hour he travels 1/5 of the total distance. In the second hour
lozanna [386]

Answer:

They live 285 miles apart

Step-by-step explanation:

Let the total distance be x miles

Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means

Total distance driven in the first and second hour is

(x/5 + 34)miles

He still has 194 miles more to go.

Therefore,

The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.

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x = x/5 + 228

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4x = 1140

x = 1140/4 = 285 miles

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