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Lesechka [4]
2 years ago
11

The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width (in meters)?

Mathematics
2 answers:
Dmitry [639]2 years ago
8 0
The width is 8. The length is 10 so 10+10 equals 20. You subtract 20 from 36 you get 16. 16/2 is 8. If you add 8+8+10+10 you get 36.
Debora [2.8K]2 years ago
4 0
The width would have to be 8
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What are the LDC between 4/9 & 2/3
SashulF [63]

Answer:

the least common denominator between 4 and 9 is 36

Step-by-step explanation:

6 0
2 years ago
If m∠F = 90° and m∠G = 70°, then ∠F and ∠G are not supplementary.
miss Akunina [59]

a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.

b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.

<h3>What are supplementary angles?</h3>

Two angles are called supplementary angles if the sum of their measures has a value of 180º.

The measures of the angles in this problem are given as follows:

  • m∠F = 90°.
  • m∠G = 70°.

Then the sum of the measures of this angles is given as follows:

90 + 70 = 160º.

Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.

A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480

#SPJ1

5 0
11 months ago
The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.
Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

Hypotenuse:37.56

Other\ Legs: 26.56

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

y = 11 + x

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

y^2 = x^2 + x^2

y^2 = 2x^2

This gives:

(11+x)^2 = 2x^2

Open bracket

121 + 22x + x^2= 2x^2

Collect like terms

2x^2 - x^2 -22x - 121 = 0

x^2 -22x - 121 = 0

Using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}

x = \frac{-(-22)\±\sqrt{968}}{2*1}

x = \frac{22\±31.11}{2}

Split

x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\

x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}

x can not be negative.

So:

x = \frac{53.11}{2}

x = 26.56

Recall that:

y = 11 + x

y = 11 + 26.56

y = 37.56

Hence, the dimensions are:

Hypotenuse:37.56

Other\ Legs: 26.56

6 0
3 years ago
A. x&lt;-1<br> b. x&gt;-1<br> c. x&lt;1<br> d. x&gt;1
Helga [31]
C. is the answer your looking for
5 0
2 years ago
Use the net to find the lateral area of the cylinder<br>​
Elena L [17]

Answer:

The answer to your question is:  A = 282.6 in²

Step-by-step explanation:

Data

height = 9 in

radius = 5 in

Formula

                A = 2πrh

Process

               A = 2(3.14)(5)(9)

               A = 282.6 in²

4 0
3 years ago
Read 2 more answers
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