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3 years ago

14

In rectangle ABCD, point E lies half way between sides AB and

1 answer:

nordsb [41]3 years ago

3 0

Answer:

33 units²

Step-by-step explanation:

vertical and horizontal lines through E will break the rectangle into 8 congruent triangles. The upper two shaded triangles can slide neatly down their hypotenuse faces to fill the lower un-shaded areas. The shaded region is shown to be exactly half of the rectangle

A = ½(11)(6) = 33 units²

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Plz help best answer gets brainly

lorasvet [3.4K]

Round up to 1, 400 then times it by 5

1,400 • 5 = 7,000

So no, it it's not reasonable.

7 0

3 years ago

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction)and (one-third,

Vinil7 [7]

<h3>4x - 8y = -6 is the equation of line in standard form</h3>

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

<em><u>The equation of line in point slope form is given as:</u></em>

$y - y_1 = m(x-x_1)$

Where, m is the slope of line

<em><u>The slope of line is given as:</u></em>

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (\frac{2}{5} , \frac{19}{20})\\\\(x_2, y_2) = (\frac{1}{3} , \frac{11}{12})$

<em><u>Substituting the values we get,</u></em>

$m = \frac{\frac{11}{12} - \frac{19}{20}}{\frac{1}{3} - \frac{2}{5}}\\\\Simplify\\\\m = \frac{-8}{240} \times \frac{15}{-1}\\\\ m = \frac{120}{240}\\\\m = \frac{1}{2}$

$\text{Substitute } m = \frac{1}{2} \text{ and } (x_1, y_1) = (\frac{2}{5} , \frac{19}{20}) \text{ in eqn 1 }$

$y - \frac{19}{20} = \frac{1}{2}(x - \frac{2}{5})\\\\y - \frac{19}{20} = \frac{x}{2} - \frac{1}{5}\\\\\frac{x}{2} - y = - \frac{19}{20} + \frac{1}{5}\\\\\frac{x}{2} - y = \frac{-15}{20}\\\\Simplify\\\\y = \frac{1}{2}x + \frac{3}{4}$

In standard form,

$y = \frac{4x+6}{8}\\\\8y = 4x + 6\\\\4x - 8y = -6$

Thus the equation of line is found

3 0

3 years ago

Read 2 more answers

What is a difference of squares that has a factor of x 8? x2−4 x2−16 x2−64 x2−256

Aleksandr-060686 [28]

Answer:

(c) x² -64

Step-by-step explanation:

The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...

a² -b² = (a +b)(a -b)

__

You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...

a² -b² = x² -8² = x² -64

5 0

2 years ago

The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran

Kipish [7]

Question;

Assumption:

Let us assume Brandon's running speed is = 18.30 and

Ruben's running speed is = 16.50 and

Answer:

The two equations that can represent the relationship between the meters and second for Brandon and Ruben are;

Brandon → Y₁ = 18.3·X₁ and

Ruben → Y₂ = 16.5·X₂

Step-by-step explanation:

The equation is of the form

Y = 17.45·X

That is Amy ran Y meters in X seconds

Therefore we have

$17.45 = \frac{Y}{X}$ or the value 17.45 is the running speed of Amy

Therefore, where the running speed of Brandon is 18.30 and the running speed of Ruben is 16.50 we have

Y meters ran by Brandon in X seconds given by

Y₁ = 18.3·X₁ and

For Ruben we have Y meters ran in X seconds given by

Y₂ = 16.5·X₂.

5 0

4 years ago

Read 2 more answers

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh

Naya [18.7K]

<h3>P(call a person not from his neighborhood) = $(\frac{1}{5} )$ </h3>

Step-by-step explanation:

Here, the total number of contacts in the list if Bruce = 25 contacts

The total number of neighbors in the contact = 20 people

Now, let E: Event of calling a person from his neighborhood

So, P(E) = $\frac{\textrm{Total Favorable Outcomes}}{\textrm{Total Outcomes}} = \frac{20}{25} = (\frac{4}{5})$

So, the probability of calling a person from his neighborhood is $(\frac{4}{5} )$

⇒P(E) = $(\frac{4}{5} )$

Now,as we know: P(E) + P(not E) = 1

So, the probability of NOT calling a person from neighborhood

= 1 - probability of calling a person from his neighborhood

$= 1 - (\frac{4}{5}) = \frac{5-4}{5} = (\frac{1}{5})$

⇒P( not E) = $(\frac{1}{5} )$

Hence, P(call a person not from his neighborhood) = $(\frac{1}{5} )$

5 0

3 years ago

Read 2 more answers