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adell [148]
3 years ago
10

What's the size of angle ABC?

Mathematics
1 answer:
ycow [4]3 years ago
6 0
Is this a question or you just messing around?

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In a designated VIP seating section there must be an odd number of seats in each row and each row must have two more seats than
Vikki [24]

Let n be the total number of rows and there are x seats is the 1st row where x is an odd natural number.

As each row must have 2 more seats than the one before it, so

Number of seats in 2nd row = x+2

Number of seats in 3rd row = x+2+2=x+2x2

Number of seats in 4th row = x+2+2+=x+2x3

Similarly, the number of seats in (n-1)th row =x+2x(n-1)

the number of seats in n^{th} row, i.e last row  =x+2x n.

As the front row must have one-quarter of the total seats in the back 2 rows combined, so

x =\frac 1 4 ( x+2\times(n-1) + x+2\times n) \\\\\Rightarrow 4x=2x+4n-6 \\\\\Rightarrow 4x-2x=4n-6 \\\\\Rightarrow 2x=4n-6 \\\\\Rightarrow x=2n-3\cdots(i)

So, the number of seats in the 1st row, x, and the total number of seats, n, must satisfy the equation (i).

For x>0, n\geq 3.

So, for n=3 rows

The number of seats in the 1st row, x= 2x3-3=3.

The number of seats in the 2nd row, = 3+2=5 as in subsequent rows, there will be 2 more seats.

and the number of seats in the 3rd row (last row)=5+2=7.

n can have any integral values satisfying  n\geq 3.

3 0
3 years ago
Your record bicycle pace along a favorite trail is 16 mph. On a recent ride, you traveled the 25 mile route in a time of 90 minu
lara [203]
Average speed=total distance / total time....

s=25/1.5=50/3mph  (16 2/3 mph)

So you traveled an average of 2/3 mph greater than your record pace...
8 0
3 years ago
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What is the slope of a line y=6x+2?
ozzi

Answer: 6

Step-by-step explanation:

Using slope-intercept form, the slope is the m in y=mx+b. So, the slope is 6.

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3 years ago
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The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions re
Allushta [10]

Answer:

The correct answer would be B

Step-by-step explanation:


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What are the 3 steps to become civilizations?
Romashka-Z-Leto [24]
Large population centers; (2) monumental architecture and unique art styles; (3) shared communication strategies
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