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maw [93]
2 years ago
12

Please help thank you.

Mathematics
1 answer:
Cloud [144]2 years ago
4 0
Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.

Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.

Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.

Have an awesome day! :)

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Which of the following is an arithmetic sequence?
MaRussiya [10]
Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!
8 0
3 years ago
Which is true of the slopes of parallel lines
leonid [27]

Answer: slopes will be the same!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Rob's first four test scores are 80, 85, 100 and 85. What does he have to score on the last test in order to have a test average
faust18 [17]

Answer:

100

Step-by-step explanation:

85 +80+100+85+x(the unknown),/the number of numbers ie 5

350+x/5=90

350+x=90 * 5

350+x=450

x=450-350

x=100

6 0
2 years ago
Whats the prime factorliztion of 180 in exponential form
stira [4]
180 
<span>3*60 </span>
<span>3*3*20 </span>
<span>3*3*4*5 </span>
<span>3*3*2*5 </span>

<span>which simplifies to 2^2*3^2*5
</span>
I hope I helped!
8 0
3 years ago
Read 2 more answers
2X+4=20+5X<br>A)1/2 B)-1/2 C)2 D)-2​
Nookie1986 [14]

Answer:

It seems that your options aren't correct as the right answer is -5.3333... (recurring)

Step-by-step explanation:

1)  2x + 4 = 20 + 5x   (subtract by the smallest unknown)

  -2x                  -2x

2)  4        = 20 + 3x

    -20      -20    (now subtract each side by 20 as we want to leave the unknown on one side and another number on the other side.

3) -16       = 3x   (Divide each side by 3)

   ÷3        = ÷3

4) -5.33333... = x

<h3>Now we have found x but if you're unsure you can substitute to see if your answer is correct.</h3><h3>2 x -5.3333 + 4 = -6.6666</h3><h3>20 + 5 x -5.3333= -6.6665</h3><h3>Our answer is correct! (When answers are rounded, it is equal to the same thing).</h3>
7 0
3 years ago
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