Step-by-step explanation:
-(4x + 3x) = 10x - 5
We would have to multiply the -1 by the 4x and the 3x which is in the bracket.
Though there is no 1 behind the bracket but, behind any bracket there is 1 there even though it's ignored.
So when we multiply -1 by 4x we are going to get;
-4x
And when we multiply -1 by 3x It's going to be;
-3x
We have -3 and -4 because whenever we multiply any positive and negative number the product is negative.
So;
-4x - 3x = 10x - 5
So now, we group like terms;
- 4x - 3x - 10x = -5
So now that we have grouped, we have to add the negative numbers even though there is no addition sign there we would have to add
-17x = -5
So now we divide both sides by;
-17
Which is going to be;
x=
Answer:
Exact circumference is 
Approximate circumference is 
Step-by-step explanation:
We are given;
- The diameter of a circle as
We are required to determine the exact and approximate circumference of the circle.
- We know that the circumference of the circle is given by;
- Circumference = πD, where D is the diameter
Taking π as 3.14
The exact circumference of the circle is
Thus, the approximate circumference of the circle is
Answer:
The width of the building is 50 lamps and 60 lamps will be needed.
Step-by-step explanation:
The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:
perimeter = 2*length + 2*width
900 = 2*(400) + 2*width
2*width + 800 = 900
2*width = 900 - 800
2*width = 100
width = 100/2 = 50 feets
To know how many lights bulbs will be needed we need to take the perimeter of the building and divide it by the space between the lamps. We have:
number o lamps = 900/15 = 60 lamps
AG and GB must be congruent and CG and GD must be congruent as well
Answer:
63°
Step-by-step explanation:
Angle <2 and the angle with measure of 63 are alternate exterior angles and has same measurement.
