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>
Can u take a picture of it
Answer:
a.8y³-6y
taking common
<u>2y(4y²-3)</u>
is a required answer
b.
3x²-20x+12
doing middle term factorization
3x²-18x-2x+12
3x(x-6)-2(x-6)
<u>(x-6)(3x-2)</u>
<u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u> </u><u>.</u>
1 ton is equivalent to 2000 pounds
we have to find how many pounds 3 3/8 tons are equal to
if 1 ton --> 2000 pounds
we can break down the fraction into 3 + 3/8
then 3 tons --> 2000 x 3 = 6000 pounds
3/8 ton ---> 2000 x 3/8 = 
after adding 6000 + 750 = 6750 pounds
answer is 6750 pounds
