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motikmotik
3 years ago
13

What is congruent of a triangle

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

When two triangles have the exact 3 sides and the same 3 angles

Step-by-step explanation:

In geometry, triangles are congruent when the have the exact same 3 sides and the exact same 3 angles. They can be flipped or reflected, they just have to have same sides and angles

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90. The number of daily evening newspapers in the United States has decreased by 46.5% to
aleksandr82 [10.1K]

Answer:

700

Step-by-step explanation:

Given:

Daily evening newspapers in 2015 = 389

Percentage decrease from 2000 to 2015 = 46.5%

To find:

Number of newspapers in 2000 = ?

Solution:

Let the number of newspapers in 2000 = x

When 46.5% of the total newspapers in 2000 (x) is subtracted from the total  newspapers in 2000 (x), it will be equal to the number of newspapers in 2015.

Making the equation as per the given statement:

x-x\times 46.5\%=389\\\Rightarrow \dfrac{100x-46.5x}{100}=389\\\Rightarrow 53.5x=38900\\\Rightarrow x\approx \bold{727}

Therefore, the answer is:

There were <em>727 </em>newspapers in 2000.

7 0
3 years ago
What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 10 cm​ tal
sammy [17]

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

8 0
3 years ago
Will says that in the number 8,184​, one 8 is 10 times as great as the other 8. Is he ​correct? Explain why or why not.
Vinil7 [7]
No he is not correct .
Break apart the number 8,184
You will get
8000 + 100 + 80 + 4

The numbers we are comparing are 8000 and 80

80 x 10 = 800

The number we are looking for is 8000

This makes the claim that one 8 is 10 times greater false as it is in fact 100 times as great.

4 0
3 years ago
Read 2 more answers
Simplify this expression.
olchik [2.2K]

Answer:

(y^2+3y-28)/(4y^2-15y-4)

Step-by-step explanation:

(4y-1)(y-3)(2y+3)(y+3)(y+7)(y-3)/(2y+3)(y-4)(4y+1)(4y-1)(y-3)(y+3)

= (y+7)(y-3)/(y-4)(4y+1)

= (y^2+3y-28)/(4y^2-15y-4)

7 0
2 years ago
Read 2 more answers
How much 15.50 decreases by 10.75
Daniel [21]
The answer is -30.65%
8 0
4 years ago
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