2.There is this theorem stating that the length of the altitude drawn to the hypotenuse of a right triangle is the geometric mean between the segments that the hypotenuse is divided into. In numerical form it would look like this:
6/altitude = altitude/x-6
We can solve the length of the altitude by using Pythagorean Theorem. The altitude creates two triangles within the large triangle. We will be using 6 and 10 to find the altitude. Fortunately, instead of squaring the sides we can simply use the common triple: 3,4,5 to deduce that the length of the altitude is 8.
Now that we have the value for the altitude we can substitute it into the equation above.
6/8=8/x-6
Cross multiply
64 = 6x - 36
Add 36 to both sides
100 = 6x
50=3x
50/3=x
13. There is another theorem that <span>an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle. In numerical form it would look like this:
20/x = 12/6
cross multiply
12x = 120
x=10</span>
Subtract the average from the sales to get the deviation.
Aug. 1700 - 1412.50 = 287.50
Sept. 1125 - 1412.50 = -287.50
Oct. 1850 - 1412.50 = 437.50
Nov. 1500 - 1412.50 = 87.50
Dec. 1050 - 1412.50 = -362.50
Answer:
what are the followings..........
2 times 2=4
multiply first equation by 2 to get
-4x+6y=12
then add to get
-4x+6y=12
<u>4x-2y=8 +</u>
0x+4y=20
4y=20
y=5
sub back
-2x+3y=6
-2x+3(5)=6
-2x+15=6
-2x=-9
x=9/2=4.5
the number to multiply by is 2
