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Oduvanchick [21]

2 years ago

10

In a certain hexagon, the two shortest sides have the same length. The length of each remaining side is 2 inches more than the l

ength of each shortest side. The perimeter of the hexagon is 38 inches. What are the lengths of the sides of the hexagon?

1 answer:

Nonamiya [84]2 years ago

4 0

Answer:

length of the shortest side = 5 inches

length of the longest side is 7 inches

Step-by-step explanation:

Hexagon has 6 sides

Let x be the shortest side

length of the longest side is x+2

there are 2 shortest sides and 4 longest sides

To find perimeter we add all the sides

$Perimeter = 2(x) + 4(x+2)$

$38= 2(x) + 4x+8$

$38=6x+8$

Subtract 8 from both sides

$30=6x$

divide both sides by 6

x=5

length of the shortest side = 5 inches

length of the longest side is 7 inches

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HELP PLS ITS URGENT

marysya [2.9K]

Melanie: 15 years old

Kevin: 5 years old

Assume Kevin's present age is x.

That means that 3 years ago, his age would be x - 3.

Melanie's age would be 6(x - 3).

Same thing for 5 years into the future:

Kevin's age would be x + 5.

Melanie's age would be 2(x + 5).

The two equations we have here are:

$\left \{ {{x + 5 = 2(x + 5)} \atop {x - 3 = 6(x - 3)}} \right.$

By subtracting both equations, we are simplified to:

8 = -4x + 28

By solving the equation, we get x = 5.

That means that Kevin's current age is 5 years old.

Melanie's age could be calculated by substituting Kevins'.

6(x - 3) --> 6(5 - 3) --> 12

Since that was 3 years ago, you need to add 3 to 12 to get her current age.

12 + 3 = 15

Melanie's current age is 15 years old.

3 0

2 years ago

7,301,985 and 7,338 what is the difference of the digit 7 in each number

Montano1993 [528]

Answer:

The difference in 7,301,985 is that the 7 is in the Millions place. And the difference in 7,338 is that that 7 is in the thousands place.

Hope this helps ☝️☝☝

6 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

. If 3n + 8 = 44, what is the value of n?

algol13

Answer:

3n + 8 = 44

Subtract both sides by 8.

3n = 36

Divide both sides by 3.

n = 12.

8 0

2 years ago

Read 2 more answers

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x

vampirchik [111]

A transformation like

$g(x) = f(x+k)$

means that the graph of g(x) is the graph of f(x) horizontally translated. In particular, the graph is translated k units to the right if k<0, and k units to the left if k>0.

So, in your case, the graph of g(x) is the graph of f(x) translated 11 units to the right.

7 0

3 years ago