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leva [86]
2 years ago
7

M is the midpoint of the segment. Find the length of CG

Mathematics
1 answer:
hammer [34]2 years ago
7 0
If M is the midpoint then segment CM and segment MG are equal. So 6x - 15 = 4x + 1.

6x - 15 = 4x + 1
-4x +15 -4x +15
(Move all the x’s to one side the other numbers to the other)

2x = 16
2 2
(Divide both sides by 2)

x = 8

Now just plug in x to find the length of one segment and double it to find the length of CG

6(8) - 15 = 33

33 • 2 = 66

CG = 66


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7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Imagine you are helping to make a fruit salad and a regular salad for a cookout today. The fruit salad calls for 1/3 of a box of
natta225 [31]

Answer:

6

Step-by-step explanation:

okay

8 0
3 years ago
Read 2 more answers
What is the answer(FP!)<br> 29/3<br> 5/5<br> 20/10<br> 100/50
liubo4ka [24]

Answer:

123456789101112131415161718192021222324252627282930

Step-by-step explanation:

hahaha

8 0
3 years ago
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot
Dahasolnce [82]

Answer:

360

Step-by-step explanation:

T = K(1/H)

Whereas T = seconds

H = cooker setting

K = the constant of proportionality

T = (240/6)/(1/9) = (240/6)x9 = 360

6 0
2 years ago
What is the product? (4y − 3)(2y2 + 3y − 5)
Mkey [24]
All ya got to do is break is down

Step 1) 4y(2y2+3y-5)-3(2y2+3y-5)
Step 2) 8y3+12y2-20y-3(2y2+3y-5)
Step 3) 8y3+12y2-20y-(6y2+9y-15)
Step 4) 8y3+12y2-20y-6y2-9y+15
Step 5) 8y3+(12y2-6y2)+(-20y-9y)+15

Then you got to simplify and you have to

Leave the

8y3 +

12-6= number y2 -

-20-9=- number y

Then leave the 15



Sorry your doing the same math as me so I get carried away :p


6 0
3 years ago
Read 2 more answers
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