What figure is always a rectangle?

Solve for x if 2(x - 2) = 26 A) x=25 B) x=8 C) x=15 D) c=30

Juli2301 [7.4K]

C) is correct x=15
2x-4=26
2x=30
X=15

3 0

3 years ago

Read 2 more answers

Simplify 10x - (5x-x)

Alex17521 [72]

Answer:

$\boxed{6x}$

Step-by-step explanation:

$10x - (5x-x)$

Distribute the Negative Sign:

$= 10x + -1 (5x - x)$

$= 10x + -1 ( 5x) + -1 (-x)$

$= 10x + -5x + x$

Combine Like Terms:

$= 10x + -5x + x$

$= (10x + -5x + x)$

$= 6x$

Hope this helped you!

3 0

4 years ago

Use demovires theorem to write the complex number in trigonometric form.

Anastasy [175]

$\sqrt3+i=2\left(\dfrac{\sqrt3}2+\dfrac12i\right)$

$\begin{cases}\cos\dfrac\pi6=\dfrac{\sqrt3}2\\\\\sin\dfrac\pi6=\dfrac12\end{cases}$

$\implies\sqrt3+i=2e^{i\pi/6}$

By DeMoivre's theorem,

$(\sqrt3+i)^3=(2e^{i\pi/6})^3=8e^{i\pi/2}=8\left(\cos\dfrac\pi2+i\sin\dfrac\pi2\right)=8i$

3 0

3 years ago

Given that AE∥BD, identify the length of AC. HELP ASAP!!

poizon [28]

<h3>Answer: Choice D) 22.5</h3>

========================================

Explanation:

x = length of BC

AC = AB+BC

AC = 6 + x

CE = CD+DE

CE = 22+8

CE = 30

Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)

Therefore the corresponding sides are proportional letting us set up the proportion below

AC/BC = CE/CD

(6+x)/x = 30/22 .... substitution

22(6+x) = 30x ... cross multiply

132+22x = 30x

132 = 30x-22x ..... subtract 22x from both sides

132 = 8x

8x = 132

x = 132/8 .... divide both sides by 8

x = 16.5

Now use this to find the length of AC

AC = 6+x

AC = 6+16.5

AC = 22.5

6 0

3 years ago

Select all of the pieces of information that would tell you x and y have a proportional relationship. Let y represent the distan

natima [27]

Complete Question:

Select all of the pieces of information that would tell you x and y have a proportional relationship.

Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x

1. After 4 minutes, the turtle has walked 12 feet away from the rock.

2. The turtle walks for a bit, then stops for a minute before walking again.

3. The turtle walks away from the rock at a constant rate.

Answer:

1. After 4 minutes, the turtle has walked 12 feet away from the rock.

3. The turtle walks away from the rock at a constant rate.

Step-by-step explanation:

Given

$y = 3x$