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dsp73
2 years ago
7

HELP!! IM VERY CONFUSED ON HOW TO DO THIS!!

Mathematics
2 answers:
Maksim231197 [3]2 years ago
7 0
Answer:
Length side of triangle: 9 Inches
Length side of hexagon: 4.5 Inches

Explanation:

Triangle - 3 sides
1 side= (1.4x + 2 inches)

Hexagon - 6 sides
1 side= (0.5x + 2 inches)

Total perimeter of triangle = 3(1.4x + 2 inches) = 4.2x + 6 inches

Total perimeter of hexagon = 6(0.5x + 2 inches) = 3x + 12 inches

4.2x + 6 inches = 3x + 12 inches
4.2x - 3x = 12 inches - 6 inches
1.2x = 6 inches
0.1x = 0.5 inches

Side length of triangle =
0.5x = 2.5 inches
2.5 inches + 2 inches = 4.5 inches

Side length of hexagon =
1.4x = 7 inches
7 inches + 2 inches = 9 inches



dusya [7]2 years ago
6 0

Answer:

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given the the perimeters are equal.

So,

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

You might be interested in
Bryan cuts a piece of cardboard in the shape of a trapezoid.the area of the cutout is 43.5 square centimeters.if the bases are 6
Nimfa-mama [501]
<span>trapezoid area = ((sum of the bases) ÷ 2) • height
height = </span>trapezoid area / ((sum of the bases) ÷ 2)
height = 43.5 / ((6 + 8.5) / 2)
height = 43.5 / ((14.5) / 2)
height = 43.5 / (7.5)
height = 6 centimeters

Source:
http://www.1728.org/quadtrap.htm


4 0
3 years ago
A store brought 9 cases of light bulbs in May and 8 cases in June. There are 48 light bulbs in a case. How many light bulbs did
UkoKoshka [18]
So the store bought 9 cases of lightbulbs and in a case, there are 48.
9 * 48 = the number of lightbulbs in the nine cases. 432 is the number of light bulbs in the 9 cases they bought in May. So then let's move on to the cases they bought in June. Do the same thing 8 * 48 is 384. So then add the two amounts together and then you will get 816 which will be your answer. I hope this helps!
5 0
3 years ago
Read 2 more answers
Steven conjectures that for |x|&gt;5, it is true that x^3&gt;125. Is his conjecture correct? Why or why not?
vredina [299]

Conjectures are conclusions formed from evidences. Steven's conjecture that: x^3 > 125 is true because: x > 5 or x > -5 for |x| > 5

Given that:

|x| > 5

Split the inequality as follows:

x > 5 or x > -5

Take the cube of both sides

x^3 > 5^3 or x^3 > -5^3

Evaluate all exponents

x^3 > 125 or x^3 > -125

Steven's conjecture that: x^3 > 125 is true because:

x > 5 or x > -5 for |x| > 5

Read more about absolute inequalities at:

brainly.com/question/4688732

5 0
3 years ago
What is the smallest positive integer n &gt; 1 for which fewer than 1% of the positive integers less than n are factors n?
disa [49]

its 34 boy im telling you


5 0
3 years ago
How do I simplify this expression?
Hatshy [7]
The simplified form of this equation is 5^3.
You simplify these types of equations by adding/subtracting the exponents, since there is multiplication/division and the constant is the same throughout.
7 0
4 years ago
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