Answer:
3 degrees
Step-by-step explanation:
Recall that the sum of the interior angles of a triangle is always 180 degrees. Here two interior angles are shown [ 25x and (57 + x) ], and the third can be calculated [180 - 45x].
Summing these up, we get (25x) + (57 + x) + (180 - 45x), or -20 - 19x, which we set equal to 180:
(25x) + (57 + x) + (180 - 45x) = 180. Subtract 180 from both sides, obtaining:
25x + 57 + x - 45x = 0. Then 26x - 45x = -57, or x = 3.
−3(1+x)=−3x+1
Step 1: Simplify both sides of the equation.
−3(1+x)=−3x+1
(−3)(1)+(-3)(X)=-3x+1
(Distribute)
−3+ −3x=−3x+1
−3x−3=−3x+1
Step 2: Add 3x to both sides.
−3x−3+3x=-3x+1+3x
−3=1
Step 3: Add 3 to both sides.
−3+3=1+3
0=4
Answer:
There are no solutions.
Answer:
2x−8
Step-by-step explanation:
I will recommend you a website that is free, solves it for you and gives you a step by step explanation.
It is called MathPapa
Represent algebraically: If b baseball cards were divided equally is total number of cards is 150
<u>Solution:</u>
Given that, if “b” baseball cards were divided equally among 3 people, each person would receive 25 cards less than if the “b” baseball cards were divided equally between 2 people.
We have to represent it in algebraic form.
Now, number of cards per each person when divided among 3 = number of cards per each person when divided among 2 – 25
![\frac{\text { total of b cards }}{3 \text { persons }}=\frac{\text { total of b cards }}{2 \text { persons }}-25](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7B%20total%20of%20b%20cards%20%7D%7D%7B3%20%5Ctext%20%7B%20persons%20%7D%7D%3D%5Cfrac%7B%5Ctext%20%7B%20total%20of%20b%20cards%20%7D%7D%7B2%20%5Ctext%20%7B%20persons%20%7D%7D-25)
![\begin{array}{l}{\rightarrow \frac{b}{3}=\frac{b}{2}-25} \\\\ {\rightarrow \frac{b}{3}=\frac{b-2 \times 25}{2}} \\\\ {\rightarrow \frac{b}{3}=\frac{b-50}{2}} \\\\ {\rightarrow 2 \mathrm{b}=3(\mathrm{b}-50)} \\\\ {\rightarrow 2 \mathrm{b}=3 \mathrm{b}-150} \\\\ {\rightarrow 3 \mathrm{b}-2 \mathrm{b}=150} \\\\ {\rightarrow \mathrm{b}=150}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%20%5Cfrac%7Bb%7D%7B3%7D%3D%5Cfrac%7Bb%7D%7B2%7D-25%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20%5Cfrac%7Bb%7D%7B3%7D%3D%5Cfrac%7Bb-2%20%5Ctimes%2025%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20%5Cfrac%7Bb%7D%7B3%7D%3D%5Cfrac%7Bb-50%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%202%20%5Cmathrm%7Bb%7D%3D3%28%5Cmathrm%7Bb%7D-50%29%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%202%20%5Cmathrm%7Bb%7D%3D3%20%5Cmathrm%7Bb%7D-150%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%203%20%5Cmathrm%7Bb%7D-2%20%5Cmathrm%7Bb%7D%3D150%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20%5Cmathrm%7Bb%7D%3D150%7D%5Cend%7Barray%7D)
Hence, total number of cards are 150