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3 years ago

14

ABCD is a rectangle. E is the midpoint of BC , F is the midpoint of AB and G is the point of intersection of AE and CF . If the

area of ABCD is 1260 square units, find the area of the quadrilateral BFGE.

1 answer:

vampirchik [111]3 years ago

3 0

I got the same question

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What is the length of the rectangle?

gregori [183]

Step-by-step explanation:

$area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.$

4 0

2 years ago

Solve the following equations.<br> √3 ⋅ 3^3x = 9

GREYUIT [131]

Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

So

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

5 0

2 years ago

Hulu had 258 no ad subscribers. The ratio of regular subscribers to no ad subscribers was 10:3. How many regular subscribers did

irina [24]

Answer:

860 regular subcribers

Step-by-step explanation:

258 / 3 = 86

86 * 10 = 860

Best of Luck!

4 0

2 years ago

Find the value of X.

miv72 [106K]

Answer:

x = 8√2 units

Step-by-step explanation:

On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.

x = 8 × √2

x = 8√2 units

4 0

2 years ago

How do you prove that angles are parallel?

3241004551 [841]

Answer:#1

if corresponding angles are congruent

#2

if alternate interior angles are congruent

#3

if consecutive, or same side, interior angles are supplementary

#4

if two lines are parallel to the same line

#5

if two lines are perpendicular to the same line

#6

if alternate exterior angles are congruent

7 0

3 years ago

Read 2 more answers