Answer:
A) 1.03x ; B) 1.08x ; C) 1.24x
Step-by-step explanation:
Given that :
Price of item = x
The Markup is obtained as :
Initial price + profit
As a percentage :
100% of x + percentage added
x + percentage added
No matter the percentage added to x above, the marked up price will be a certain percentage above 100% of x ; that is > 1x
Hence, the Marked up price will always be greater than 1 ;
From the option given, the possible mark up price will be :
A) 1.03x ; B) 1.08x ; C) 1.24x as they are greater than. 100% of x
Answer:
a. 
b. The lines
and
would be parallel.
Step-by-step explanation:
a) By definition,the sum of the interior angles of a quadrilateral is 360 degrees.
Notice that the quadrilateral has an angle of 90 degrees. Then, you can write the following equation:

Solving for "x", you get:

b) Knowing the value of "x", you know the measure of the angles of the quadrilateral:

Since:
≅
When
is drawn to scale, the lines
and
would be parallel.
Answer:
174 people.
Step-by-step explanation:
take 290 people and multipy by the 60% who were in favor.
<h2>
Answer:</h2>
9 inches
<h2>
Step-by-step explanation:</h2>
Let x be the length of the side of the square.
If the base of the triangle is 3 times as long as the side of the square, it is 3 times x, or 3x.
The same can be said for the legs, which is 1 inch more than twice the side of the square, so 2x + 1.
The triangle can therefore be thought to look like the triangle below.
The perimeter is therefore (2x+1) + (2x+1) + 3x, which is 7x + 2.
The sum of perimeters of both the square and triangle is 46.
The perimeter of the square is 4x, so the sum of perimeters is 4x + (7x+2), or 11x + 2.
11x + 2 = 46, so 11x = 44.
x is therefore 4
The leg is 2x + 1, so the leg is 8 + 1, so the length of the leg is 9 inches.