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Novosadov [1.4K]
3 years ago
15

Find the unit rate. Kenny reads 58 page in 23 minute. how many pages Kenny reads per minute

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

Step-by-step explanation:

The unit rate is pages per minute, so divide the pages by the minutes: (5/8)/(2/3) = (5/8)·(3/2) = 15/16 pages per minute

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Consider the statement : Congruent triangles are always similar. Which of the following statements is an example of the statemen
swat32

Answer:

Yes, the congruent triangles are always similar. The following statements are applicable

1) Angles are the same, but sides are proportional to eachother.

2) Sides are the same size.

3)Corresponding angles and corresponding sides are congruent.

Step-by-step explanation:

Yes, they are similar.

For two triangles to be similar, it is sufficient if two angles of one triangle are equal to two angles of the other triangle. Note that if two angles of one are equal to two angles of the other triangle, the third angles of the two triangles too will be equal.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

1)- when all sides of triangles are equal,

2) - if one side and two angles of one are equal to one side and two angles of other triangle.

3) - if two sides and included angle of one triangle are equal to two sides and included angle of other triangle

4)- if in two right angled triangles, one side and hypotenuse of one triangle are equal to one side and hypotenuse of other triangle.

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal.

Hence, while congruent triangles are similar, similar triangles may not be congruent ( but the converse is not true) .

4 0
3 years ago
The formula for potential energy is P = mgh. Solve the equation for h.
Liono4ka [1.6K]

Answer:

P = mgh

P/mg = h

We can divide both sides by mg, since both mass and gravity are being multiplied and not added.

Hope this helps!! :)

Step-by-step explanation:

7 0
3 years ago
The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width.
MatroZZZ [7]
4 times 4 which is 8 so 8 times 4 which is 32 so divide that by 138 but divide the 138 first and you will get 17.25?
5 0
3 years ago
The ratio of the profit, material cost and production labour of an article is 5:7:13.
IRINA_888 [86]

Answer:

The cost of producing the article is -3500 (Negative cost)

Step-by-step explanation:

The given parameters are

The ratio of the profit to material cost to production labor = 5:7:13

The amount of the material cost = 840 + Labor cost

Let the total cost = X

Therefore, we have;

The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25

Therefore, the material cost = 7/25 × X

The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25

Therefore, the labor cost = 13/25 × X

However, the amount of the material cost = 840 + Labor cost, which gives;

7/25 × X = 13/25 × X + 840

7/25 × X - 13/25 × X = 840

-6/25 × X= 840

X = 840/(-6/25) = 840×(-25/6) = -3500

The cost of producing the article = -3500.

8 0
3 years ago
What is the value of the underlined digits? 588_7, 6.409_7, 8.41_3, _0,184,843
irga5000 [103]
The first on is the tenth place
the second one is  the tenth place
the third one is the tenth place
the last one is the millionth place
 
hope i helped :) i might be wrong though


3 0
3 years ago
Read 2 more answers
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