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2 years ago

Simplify 2n+5.5-0.9n-8+4.5p

Mathematics

2 answers:

Anettt [7]2 years ago

7 0

The answer is
1.1n+4.5p-2.5

Basile [38]2 years ago

5 0

Alright:
2n + 5.5 - 0.9n - 8 + 4.5p
Organize:
2n - 0.9n + 5.5 - 8 +4.5p
1.1n - 2.5 + 4p
1.1n + 4p - 2.5
Hope this helps!

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

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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

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2 years ago

N 2004, the General Social Survey (which uses a method similar to simple random sampling) asked, "Do you consider yourself athle

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<u>Answer-</u>

The standard error of the confidence interval is 0.63%

<u>Solution-</u>

Given,

n = 2373 (sample size)

x = 255 (number of people who bought)

The mean of the sample M will be,

$M=\frac{x}{n} =\frac{255}{2373} =0.1075$

Then the standard error SE will be,

$SE=\sqrt{\frac{M\times (1-M)}{n}}$

$SE=\sqrt{\frac{0.1075\times (1-0.1075)}{2373}}=\sqrt{\frac{0.0959}{2373}}=0.0063=0.63\%$

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2 years ago

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Answer: B) 0

Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

$0+0i$

3. Then, for the complex number $14+5i$ , you have:

$(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i$

4. Therefore, the answer is the option B.

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1 year ago

Read 2 more answers

Mr. Johnson is going to buy an 18 3 4 pound turkey for Thanksgiving. The turkey costs $ 2.80 per pound at the grocery store. If

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Answer:

10.22 she save

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1 year ago