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blondinia [14]
4 years ago
9

Help please! 20 points!

Mathematics
2 answers:
vladimir1956 [14]4 years ago
5 0

x+100+3x=180\\4x=80\\x=20

vladimir2022 [97]4 years ago
3 0

\text{Hey there!}

\text{Note: This line/triangle have a degree of 180}

\text{Firstly, you have to set up your equation, which is:} \text{x + 100 + 3x =180}

\text{Next, COMBINE your like terms: x + 3x}

\text{x + 3x = 4x (Side note: the x by itself is equal to a(n) invisible 1)}

\text{100 stays the same because it doesn't have a like term}

\text{4x + 100 = 180}

\text{Thirdly, we have to SUBTRACT by 100 on your sides:} \text{4x + 100 - 100}\\\text{180 - 100}

\text{Cancel out: 100 - 100 because it equals to 0}

\text{Keep: 180 - 100 because it helps us solve for our answer}

\text{Our new equation becomes: 4x = 80}

\text{Fourthly, we have to DIVIDE by 4 on each of your sides:} \dfrac{4x}{4}=\dfrac{80}{4}

\text{Cancel out:}\dfrac{4x}{4}\text{ because it gives us the result of 1}

\text{Keep:}\dfrac{80}{4}\text{ because it helps us solve for our answer}

\uparrow\text{If you solved the kept answer correctly you would have your answer for x}

\boxed{\boxed{\bf{Answer: x = 20}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~ \frak{LoveYourselfFirst:)}

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Answer:

120 and 144

Step-by-step explanation:

Keep adding 24 to 96

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Solve using the zero product property <br><br> (2x-7)(x-9) = 0
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X = 7/2 and 9 there you go hun
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Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?
marin [14]

Answer:

\boxed {\tt 5 \ oranges}

Step-by-step explanation:

Let's set up a proportion.

\frac{oranges}{minutes} =\frac{oranges}{minutes}

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}

\frac{125 \ }{300 \ }=\frac{x \ }{12 }

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12

12*\frac{125 \ }{300 \ }=x

12*0.416666667=x

5=x

Rob can peel 5 oranges in 12 minutes.

6 0
4 years ago
Read 2 more answers
In AOPQ, mZO = (6x – 14)°, mZP = (2x + 16)°, and mZQ = (2x + 8)°. Find mZQ.
loris [4]
\measuredangle Q=42

Explanation

Step 1

the sum of the internal angles in a triangle equals 18o, so

\begin{gathered} (2x+16)+(6x-14)+(2x+8)=180 \\ 2x+16+6x-14+2x+8=180 \\ \text{add similar terms} \\ 10x+10=180 \\ \text{subtract 10 in both sides} \\ 10x+10-10=180-10 \\ 10x=170 \\ \text{divide both sides by 10} \\ \frac{10x}{10}=\frac{170}{10} \\ x=17 \end{gathered}

Step 2

now, replace the value of x in angle Q to find it

\begin{gathered} \measuredangle Q=(2x+8) \\ \measuredangle Q=(2\cdot17+8) \\ \measuredangle Q=(34+8) \\ \measuredangle Q=42 \end{gathered}

I hope this helps you

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Step-by-step explanation:

I need points so no help.

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