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Kobotan [32]
3 years ago
5

A rectangle and an equilateral

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

The area of the rectangle = 50 cm^2.

Step-by-step explanation:

Let the shortest side of the rectangle be x cm.

Perimeter of the rectangle is:

2x + 2(x + 5).

Perimeter of the triangle =  3 * 2x.

As they have the same perimeter:

2x + 2(x + 5) = 3*2x

2x + 2x + 10 = 6x

6x - 2x - 2x = 10

2x = 10

x = 5 cm.

So the area of the rectangle = x(x + 5)

= 5 * 10

= 50 cm^2.

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Write a compound inequality to represent all of the numbers between -4 and 6.
RoseWind [281]
You use > for greater than and < for less then

-4 < x < 6
7 0
3 years ago
Help me with this.. thanks
sveta [45]

Answer:

Attachment 1 :-   x = 3/2

Attachment 2 :-  m + r = 154°

Step-by-step explanation:

Attachment 1 :-

9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

       = 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

        = 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

        = 84°

So m + r = 84° + 70° = 154°

3 0
3 years ago
What is the answer for this problem ?
Norma-Jean [14]
The answer for this is 3(k+6)^2 u need to factor this so use magic X
7 0
2 years ago
-7, 0 , 5 , -3 , 15
kakasveta [241]

Answer:

Step-by-step explanation:

yes you're correct!

pls mark brainliest!!

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2 years ago
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Answer:

Step-by-step explanation:

6 0
3 years ago
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