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Jlenok [28]
3 years ago
15

A quadrilateral with 4 congruent sides is called a ____.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0
That would be called a square :)
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The base of a triangle exceeds the height by 3 cm if the area is 170 cm² what is the length of the base and the height of the tr
Strike441 [17]

Hey there!!

How do we find the area of a triangle?

Ans - Formula = ( 1 / 2 ) ( base ) ( height )

In the question, it states the base exceeds the height by 3 cm

Let's take the height as ' x '

The, the base of the triangle would be ' x + 3 '

It's area = 170 cm²

Let' get this into an equation :

( 1/2 ) ( x ) ( x + 3 ) = 170

... ( x / 2 ) ( x + 3 ) = 170

... ( x² + 3x / 2 ) = 170

Multiplying by 2 on both sides

... x² + 3x = 340

Subtract 340 on both sides

... x² + 3x - 340 = 0

We can write this as

... x² - 17x + 20x - 340 = 0

... x ( x - 17 ) + 20 ( x - 17 ) = 0

... ( x + 20 ) = 0

... ( x - 17 ) = 0

... x = -20

... x = 17

As the value can not be in negatives, we take x as 17

The value of height = 17 cm

The value of the base = 20 cm

Hope my answer helps!!


6 0
3 years ago
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It takes Wayne 1/3 hour to walk 1/6 mile. What is Wayne's unit rate, in miles per hour?
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Jasmine is making cookies for everyone in her class and she wants to make sure everyone gets at least one cookie. The recipe cal
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Answer:

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Step-by-step explanation:

If her class has 36 students, and there are 12 cookies in every batch, then she needs 3 batches to give everyone in her class 1 cookie each. It takes 1/2 teaspoon for every recipe, so she needs 3 of those. 3 × 1/2 = 1.5 (or 3/2)

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3 years ago
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