In the proportional theory,
28 units is the total measurement that includes 8 units.
So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.
This means,
28 = 10 + 3x - 5
Now solve for x,
28 = 10 + 3x - 5
28 - 10 = 3x - 5
18 + 5 = 3x
23 = 3x
23 / 3 = x
So x = 23/3 or 7.6666....
Answer:
Equilateral triangles are always acute triangles.
Scalene triangles are sometimes acute triangles.
Right triangles are never acute triangles.
Obtuse triangles are sometimes isosceles triangles.
Step-by-step explanation:
Equilateral triangles are always acute because each angle is 60⁰.
Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.
A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.
An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).
Part A:
Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4
The perimeter of the square is given by 4(x + 4) = 4x + 16
The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12
For the perimeters to be the same
4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2
The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.
Part B:
The area of the square is given by
The area of the rectangle is given by 2(3x + 4) = 6x + 8
For the areas to be the same
Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
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C. you have a deficit of 1000
Explanation:
We say that we have a surplus when the net income is more than the total expenses, while we say that we have a deficit when the net income is less than the total expenses.
In this case, the net income is 1500, which is less than the total expenses (2500): so, we have a deficit. In order to calculate the deficit, we can use the formula
deficit = total expenses - net income
Substituting the data of the problem, we find
deficit = 2500 - 1500 = 1000
Answer:
x^2+10x+24
Step-by-step explanation:
(x+6)×(x+4)
=x^2+4x+6x+24
=x^2+10x+24 (ans)