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mestny [16]
3 years ago
8

A=2(l+w) solve for w

Mathematics
1 answer:
Maru [420]3 years ago
8 0
Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

A=2(l+w) 

\dfrac{a}{2}=l+w&#10;&#10;   Divide \ both \ sides \ by \ 2 

\dfrac{a}{2}-l=w&#10;&#10; &#10;    Subtract \ l \ from \ both \ sides 

w= \dfrac{a}{2}-l
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Since ABCD is a parallelogram, the two pairs of _________ sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since
Marysya12 [62]

Answer:

1. Opposite

2. angle-side-angle criterion

Step-by-step explanation:

Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.

A parallelogram posses the following features:

   1. The opposite sides are parallel.

   2. The opposite sides are congruent.

   3. It has supplementary consecutive angles.

   4. The diagonals bisect each other.

7 0
3 years ago
(PLEASEE HELPP 24 points)Regina’s work to find the surface area of a square pyramid from its net is shown below. A square pyrami
Fantom [35]

Answer:

She should have used One-half (9.4) (11.9) to represent the area of a single triangle

Step-by-step explanation:

The pyramid is composed by 4 triangles and 1 square

area of the square: base² = 9.4²

area of each triangle = 1/2*base*height = 1/2*9.4*11.9

surface area of the pyramid = 4*area of each triangle + area of the square = 4*(1/2*9.4*11.9) + 9.4²

8 0
3 years ago
14. Write an equation of the line using the slope and y-intercept.<br> m = -5, b = -1
Paladinen [302]

Slope-intercept form: y = mx + b

The answer is:

y = -5x - 1

Happy to help!

4 0
3 years ago
Which number is greatest? 2.89 times 10 Superscript negative 8 1.997 times 10 Superscript 2 8.9 times 10 Superscript negative 6
love history [14]
<h3> The greatest number is 1.997 \times 10^2</h3>

<em><u>Solution:</u></em>

<em><u>Given that the numbers are:</u></em>

2.89 \times 10^{-8}\\\\1.997 \times 10^2\\\\8.9 \times 10^{-6}\\\\5 \times 10^{-6}

We have to find the number that is greatest

Convert the numbers to decimal

2.89 \times 10^{-8} = 2.89 \times \frac{1}{10^8} =0.0000000289

1.997 \times 10^2 = 199.7

8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089

5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005

We can clearly see that, 199.7 is greatest number

Thus the greatest number is 1.997 \times 10^2

3 0
3 years ago
Read 2 more answers
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