Answer:1/2
Step-by-step explanation:
Answer:
The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.
Step-by-step explanation:
Given:
A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.
Now, to find the length of each part of the stick.
Let the shorter part be 
So, the longer part is 
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:

<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of
:

<em>The length of longer part is 45 cm.</em>
Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.
Answer:
The product of 8x(5x−6) is 40x^2−48x
The product of (x−3)(5x−6) is 5x^2−21x+18
Step-by-step explanation:
<u><em>Verify each option</em></u>
Part 1) The product of 8x(5x−6) is 40x^2−48x
we have

Applying distributive property

Compare with the given value

therefore
The statement is true
Part 2) The product of −4x(2x2+1) is −8x^3−5x
we have

Applying distributive property

Compare with the given value

therefore
The statement is not true
Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18
we have

Applying distributive property

Compare with the given value

therefore
The statement is true
Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25
we have

Applying distributive property

Compare with the given value

therefore
The statement is not true
Well knowing these are both obtuse angles of the same shape and size we can begin. were looking to show AC is equal to DF we start by connecting A to C. A goes to C and makes this half an Oval shape along the bottom line now try connecting A to B and C to B AB and CB are not the same as AC and since these angles are the same shape and size we know DF should do the same so now we connect D to E and F to E similar to AC they do not match nor do they match AC itself leaving us to compare D to F after we do this we see that it creates the same sized half an oval as AC showing us that they are equal. :)