Answer:
This is an exact copy of the ∠A
Step-by-step explanation:
Answer:
m∠2 = 140°
Step-by-step explanation:
m∠1 = m∠3, since they're vertical angles.
Solve for x:
Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.
m∠1 = (2(6) + 28)°
m∠1 = (12 + 28)°
m∠1 = 40°
Now that we know m∠1, we can now solve for m∠2.
m∠1 + m∠2 = 180°
40° + m∠2 = 180°
m∠2 = 140°
Alright. If we're multiply 3x by 3x, we can think of this as :
3 × x × 3 × x (since 3x is really just 3 × x)
We see that since it's all being multiplied together, it doesn't matter what order we do. 3 times 3 is 9, so we now have
9 × x × x
When multiplying the same type of variables, we add their exponents. if an exponent isn't shown, it's understood that there's an invisible 1 there. So we really have x^1+1 once we multiply x×x. So really, x × x is x^2. so, I now have:
9 × x^2 or 9x^2
I see that this isn't an available solution. Please recheck your answers, or what the original problem was. I can assure you that with the info provided, 9x^2 is undoubtedly the answer. Perhaps you meant 3x + 3x?
For the second problem, we just have to see how many times we need to add 5 to itself until we get 20. How many times we have to add is how many months he has to save.
5 + 5 + 5 + 5 = 20
So, 4 times, means he has to save for 4 months.
Hope this helps, and please let me know what happened with question 1!
Answer:
k = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
15 - 3k = 10(k - 5)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 10: 15 - 3k = 10k - 50
- Add 3k to both sides: 15 = 13k - 50
- Add 50 to both sides: 65 = 13k
- Divide 13 on both sides: 5 = k
- Rewrite: k = 5
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 15 - 3(5) = 10(5 - 5)
- Subtract: 15 - 3(5) = 10(0)
- Multiply: 15 - 15 = 0
- Subtract: 0 = 0
Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
