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alisha [4.7K]
3 years ago
14

a pet store has 2 kittens. one kitten weighs 15/16 pounds. the other kitten weighs 12/16 pounds. what is the difference of the w

eights of the two kittens?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0
Subtract 15/16 and 12/16 to get 3/16
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Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)
Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

In triangle ABC:

|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2    }=\sqrt{45}

In triangle MNO:

|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2    }

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8

Hence O = (4, 8)

3 0
3 years ago
An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the t
adelina 88 [10]

Answer:

So each side length is 4s+6

Step-by-step explanation:

Since we know the triangle is an equilateral triangle, we know the perimeter of the triangle is given by since all the sides are the same length

P = 3s  where s is the side length

12x+18 = 3s

Divide each side by 3

12x/3 + 18/3 = 3s/3

4s +6 = s

So each side length is 4s+6

4 0
3 years ago
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What is the perimeter of the base, p, of this square-based pyramid? (attached image
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Answer:

32in

Step-by-step explanation:

8in + 8in + 8in + 8in = 32in

8 0
2 years ago
The measure of an angle is seventy-one times the measure of a supplementary angle. What is the measure of each angle?
steposvetlana [31]

Let the smallest angle = x

Then the larger one = 71x

Supplementary angles are always equal to 180o

x + 71x = 180o Add the left side

72x = 180 Divide by 72

x = 180/72

x = 2.5

The smallest angle = 2.5 degrees

The largest angle = 2.5 * 71

The largest angle= 177.5 degrees.

3 0
3 years ago
3.5821568896×10−10 What does this equal?
lana [24]

Answer:

25.821568896

Step-by-step explanation:

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