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 ![x.](https://tex.z-dn.net/?f=x.)
So, the longer part is ![x+20.](https://tex.z-dn.net/?f=x%2B20.)
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:
![(x)+(x+20)=70\\\\x+x+20=70\\\\2x+20=70\\\\Subtracting\ both\ sides\ by\ 20\ we\ get:\\\\2x=50\\\\Dividing\ both\ sides\ by\ 2\ we\ get:\\\\x=25.](https://tex.z-dn.net/?f=%28x%29%2B%28x%2B20%29%3D70%5C%5C%5C%5Cx%2Bx%2B20%3D70%5C%5C%5C%5C2x%2B20%3D70%5C%5C%5C%5CSubtracting%5C%20both%5C%20sides%5C%20by%5C%2020%5C%20we%5C%20get%3A%5C%5C%5C%5C2x%3D50%5C%5C%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%202%5C%20we%5C%20get%3A%5C%5C%5C%5Cx%3D25.)
<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of
:
![x+20\\\\=25+20\\\\=45\ cm.](https://tex.z-dn.net/?f=x%2B20%5C%5C%5C%5C%3D25%2B20%5C%5C%5C%5C%3D45%5C%20cm.)
<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.
To convert from percentage to decimal, divide by 100:
633 / 100 = 6.33
A "solution" would be a set of three numbers ... for Q, a, and c ... that
would make the equation a true statement.
If you only have one equation, then there are an infinite number of triplets
that could do it. For example, with the single equation in this question,
(Q, a, c) could be (13, 1, 2) and they could also be (16, 2, 1).
There are infinite possibilities with one equation.
In order to have a unique solution ... three definite numbers for Q, a, and c ...
you would need three equations.
Answer: C) ΔUVW and ΔRST are congruent
Step-by-step explanation:
- Rigid motions move a geometric figure but do not change the size and shape of the figure.
- It produces congruent images.
There are four kinds of rigid transformation.
1) translation 2) reflection 3) rotation 4) glide reflection.
If a series of rigid motions maps ΔUVW onto ΔRST.
Then, ΔUVW and ΔRST must be congruent. (No change in size or shape)
hence, the correct statement is C) ΔUVW and ΔRST are congruent.
B because the amount of money they earn per hour multiplied by how many hours they worked is equal to what they earned in total