Answer:
Step-by-step explanation:
Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.
First we figure out our points for both the lines:
BC: 
EF: 
Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:
= Slope Formula
BC = 
EF = 
So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:
Let's use point = 
We used the formula and found that the y-intercept was 
, so now we plug in all of our answers:
This is the complete answer but if you wanted to simplify it more you could write it as 
, cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.
Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Here, we want to express the given fraction as a decimal by the use of long division
We start by writing the long division sign
We place 5 on the left hand side outside and place 4 inside the long division sign
Now, as we know, 4 cannot divide 5 wholly as it is less than 5
We simply add a 0 at the top of the long division symbol, with a decimal point after it.
Concurrently, we place a zero after 4
Hence we have 40 inside the long division
Then we can divide 40 by 5 to get 8
The 8 now comes after the decimal point
Hence, our answer is 0.8
Pictorally, we can have the representation as follows;
Ok so remember tha tdividining by 0 is undifnined
therfor
4/(5x)
if x=0 then it is undifined
