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Minchanka [31]
2 years ago
7

Simplify the expression ASAP 8p3

Mathematics
1 answer:
Reika [66]2 years ago
5 0

Answer:

336

Step-by-step explanation:

8P3

=8!(8-3)!

=8!5!

=8x7x6

=336

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Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles
777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A:  Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0
2 years ago
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
galben [10]

Answer:

y=32000(1+0.08)^x

Step-by-step explanation:

Exponential growth function is y=a(1+r)^x

Where 'a' is the initial population

r is the rate of growth and x is the time period in years

a steady population of 32,000. So initial population is 32,000

an increase of 8% per year. the rate of increase is 8% that is 0.08

a= 32000 and r= 0.08

Plug in all the values in the general equation

y=a(1+r)^x

y=32000(1+0.08)^x

y=32000(1+0.08)^x

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2 years ago
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How would you choose to reduce the system shown to a 2 × 2? Explain why you would choose this approach. –3x + y – 2z = 10 (1) 5x
gladu [14]
-3x + y - 2z = 10      |* -1
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5x  -2y -2z =  12 
---------------------------      I add these equations   term by term 
8x  - 3y  = 2 

-3x  + y - 2z =10                       ⇒  -3x  + y   - 2z =10
x     -y    +z = 23         | *2              2x   - 2y + 2z = 46
                                                   -----------------------------  I add these eq.
                                                       -x  -y  = 56

8x  - 3y  = 2 
-x   -y    = 56

this is the system after i reduce it ( it has only two variables x and y)




4 0
2 years ago
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Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors
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Answer: 280 tons

Step-by-step explanation: Khan Academy

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The dot plot represents the amount of rain recorded by rain gauges in different locations around a city. A number line going fro
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Answer:

16

Step-by-step explanation:

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