In the figure below what is the value of x?
1 answer:
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Area of rectangle = 2(2w - 5) is the factored form of given expression
Multiplying the length and width of a rectangle, we get the area of the rectangle
<em><u>Solution:</u></em>
Given that, area of rectangle is 4w - 10 square units
We have to factor the expression
From given,
Area of rectangle = 4w - 10
Take 2 as common factor
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
<em><u>The area of rectangle is given as:</u></em>
Thus, multiplying the length and width of a rectangle, we get the area of the rectangle
When we multiply 2 with 2w - 5 we get the area of rectangle
From above we can say,
Length = 2 or 2w - 5
Width = 2w - 5 or 2
So when dimensions of rectangle are multiplied we get area of rectangle
If their perimeters are equal, we can add up all the side lengths of each triangle, and set the perimeters equal to each other to find the value of x that satisfies the equation:
x - 2 + x + 3x + 1 = 2x - 5 + x + 4 + 6x - 7
Combine like terms:
5x - 1 = 9x - 8
And finally, solve for x:
7 = 4x
x =
Therefore, x is equal to .
<em>Hope this helps! :)</em>
Answer:
- The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.
- The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).
- The volume (V) of a sphere can be calculated as
, where r is the radio. In this case, the volume of the sphere will be
, which is also equal to
.