Step-by-step explanation:
2.5<x<8.0???????????
Answer:
The polygon has 9 sides
Step-by-step explanation:
we know that
A regular polygon has equal length sides and equal interior angles
step 1
Find the measure of the interior angle
Remember that
The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)
Let
x ----> the measure of each interior angle in the regular polygon
so

solve for x

step 2
Find the number of sides of the regular polygon
we know that
The measure of each interior angle in a regular polygon is given by the formula

where
n is the number of sides of the polygon
substitute the given values

solve for n

therefore
The polygon has 9 sides
<h3>Answer: Choice D</h3>
Divide both sides of the first equation by 7, then add the result to the second equation
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Explanation:
We can multiply both sides of an equation by the same number and the equation will be equivalent to the original.
For example, if we had x = 5, then we could get 2x = 10 after multiplying both sides by 2. The reason they are equivalent equations is because the same x value is the solution for both equations.
We can also divide both sides of an equation by the same number and the two equations would be equivalent. We can go from 2x = 10 back to x = 5 when we divide both sides by 2.
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If we divide both sides of 7x - 21y = 14 by 7, then we end up with x - 3y = 2. Simply divide each term (7x, -21y, and 14) by 7.
Because 7x-21y=14 and x-3y=2 are equivalent, this means we can replace the "7x-21y=14" with "x-3y=2"
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The new system would be
x-3y = 2
2x+3y = 11
From here you add straight down. Doing so will have the y terms add to -3y+3y = 0y = 0. After this point the y terms are eliminated and you can solve for x just like with any other equation of one variable.
Answer:
729 m³
Step-by-step explanation:
Volume of a cube (or a rectangular prism) formula:
lwh
l is length
w is width
h is height
Here, the length, width, and height measures 9 m.
So
9 × 9 × 9 or 9³ = 729
Well, we know the cyclist left the western part going eastwards, at the same time the car left the eastern part going westwards
the distance between them is 476 miles, and they met 8.5hrs later
let's say after 8.5hrs, the cyclist has travelled "d" miles, whilst the car has travelled the slack, or 476-d, in the same 8.5hrs
we know the rate of the car is faster... so if the cyclist rate is say "r", then the car's rate is r+33.2
thus

solve for "r", to see how fast the cyclist was going
what about the car? well, the car's rate is r + 33.2