Answer:
The answer is 1 13/27.
Step-by-step explanation:
First, convert any mixed numbers to fractions --
the initial equations then reads as 5/3 x 8/9.
Then, applying the fractions formula for multiplication --
5 x 8 / 3 x 9
40/27
Simplifying the above --
1 13/27
When two or more lines are <u>parallel</u> to each other, this implies that they do not meet even extending them till <em>infinity</em>. So the <em>statement</em> justifies the construction because only <em>one</em> line <u>through</u> point C can be constructed to be <u>parallel</u> to AB.
When a <u>parallel</u> line is constructed through a <em>point</em> to a given <em>line</em>, this is the only <u>parallel</u> line that can be <em>drawn</em> to the given line. <u>Parallel</u> lines are lines that will not meet at any point. Thus, only one <u>parallel</u> line can be constructed through a <em>point</em> not to a given <em>line</em>.
The construction of a line through C that is <u>parallel</u> to line AB is justified by the given <em>statement</em> in the <em>theorem </em>since this is the only <u>parallel</u> line to line AB that can be drawn <em>through</em> the point C. Any <em>other line</em> through C would <em>intersect</em> or <em>meet</em> line AB at a point when <u>extended,</u> thus would not be <u>parallel</u> to the given line.
Visit: brainly.com/question/17967521
Hi there.
<h2>4th quadrant.</h2><h2 />
Recall that:
csc θ = 1 / (sin θ) - deals with y-values
sec θ = 1 / (cos θ) - deals with x-values
If csc θ < 0, then the y-coordinate of the angle must be negative.
If sec θ > 0, then the x-coordinate of the angle must be positive.
The quadrant on the coordinate plane that consists of negative y-coordinates and positive x-coordinates is the 4th quadrant.
You need to find the surface area of both circles and the rectangle
The formula is:(radius of circle^2 x pie) x 2 +(diameter of the circle x pie)x(width or length of the circle, whichever is given)
(6/2)^2 x pie x 2 + (6 x pie) x 14
=18 pie + 84 pie
=102 pie
Let the number of red skittles be = x
Let the number of orange skittles be = y
Red skittles are 10 less than orange, this gives
x = y-10................(i)
Orange Skittles are twice the number of red skittles, this gives
y = 2x.............(ii)
Incorporating the value of y from second equation into first
x = 2x - 10
hence, x = 10
Now putting the value of x in equation second
y = 2x
y = 2*10
y = 20
Hence, the number of red skittles are 10 and the number of orange skittles are 20.
