Step-by-step explanation:
Notice the two horinzontal lines. They are parallel lines as they will never cross each other.
Notice the slant line. That is called a transversal as it crosses through both the parallel lines.
The transversal split the parallel lines into multiple angles.
- Vertical Angles
- Alternate Interior Angles
- Alternate Exterior Angles
- Corresponding Angles
- Linear Pair Angles
- Same Side Consecutive Angles
Look at Angle X and the angle on the upper right. They are vertical angles because they are formed by intersecting lines so they are equal to each other
Look at Angle X and the angle that is on the right of Angle 70, they are alternate interior angles as they are formed by the transversal crossing through the two parallel lines. They are equal to each other. They form a Z if you connect a them.
The upper right angle and bottom left angle are alternate exterior angles. They are formed by the transversal. They are equal to each other. They form a semi circle of you connect them.
The bottom left angle and Angle X are Corresponding Angles. They form a C shape if you connect them. They are formed by the transversal and are congruent to each other.
Angle X and 70 are same side consecutive angles. They are right next to each other on the same side of each other. They are supplementary. which means they form 180 degrees when added.
so using this info,
We can use using graphing technology to solve the system of equations here.
So draw sketch of graphs 
and 
on graphing calculator. you will get sketch as shown
Take pointer to point of intersection as shown. It displays (x,y) coordinate of points of intersection as (9.597, 3.459) as show in figure.
Now round off these values to nearest tenth thats one digit after decimal dot.
so to round 9.597 to one decimal place we will see 2nd decimal digit(next to place where you have to round off) which is 9 here and as 9 is greater than 5 so we will increase 1st decimal place digit by 1, so round to one decimal place will be 9.6.
Similarly to round off 3.459 to one decimal place we will see 2nd decimal digit which is 5. Again as its equals 5 we will increase the 1st decimal digit by 1 for round off. So final round off to one decimal place will be 3.5
So final answer for solution set will be choice C (9.6, 3.5)
To find the volume of the cylinder
V = pi* r^2* h
Plug in what you are given
V = pi* (6)^2* (20)
V = pi * 36 * 20
V = 720 pi
Hope this helps :)
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
First, you have to find half of 30. To find "half" means that you have to divide by 2. 30 divided by 2 is 15, because 15 + 15 = 30.
30 + 15 = 45
Salo and Nan used 45 total tiles.
Finally, to find out if they have enough tiles you have to divide 36 and 24 by 4. This is because that will tell you how many 4 inch tiles need to be used. So, 36/4 is 9, and 24/4 is 6.
9 tiles + 6 tiles = 15 tiles
Yes, they will have enough tiles to cover the table.
