Log(8)a/2. Expand the logarithmic expression.

Answers

Answer 1
Answer: log(8a/2) = log8 + log a - log 2

The simple rules here are: If logarithms (as in this case) have same basis, factors inside logarithm can be written as sum of logarithms or difference between logarithms (first if factors are multiplying and second if factors are dividing)

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Divide 500 in a ratio of 3:7

Proof:
Given: Isosceles trapezoid TRAP with TR=PA
Prove: Angle RTA = angle APR

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The answer is in the attachment

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It’s on google or on ANSWERS.com

If g(x)=x squared+2 find g(3)

Answers

Answer:

11

Step-by-step explanation:

x^2+2

(3)^2+2

9+2=11

To print a telephone book,565 sheets of paper were used. If the book is 2.6 inches thick,what is the thickness of each sheet of paper.? Round to the nearest thousandth of an inch.

Answers

Using division, the thickness of each sheet of paper is 0.005 inches

What is the thickness of each sheet of paper?

To find the thickness of each sheet of paper, divide the total thickness of the telephone book by the number of sheets used.

Thickness of each sheet of paper = Total thickness / Number of sheets

Thickness of each sheet of paper = 2.6 inches / 565 sheets ≈ 0.004602 inches

Rounded to the nearest thousandth of an inch, the thickness of each sheet of paper is approximately 0.005 inches.

Learn more on division here;

brainly.com/question/4721701

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The telephone book is 2.6 inches thick, with 565 sheets of paper.

What this means is 2.6 inches is the thickness of 565 sheets of paper.

To find the thickness of each sheet of paper, all we do is:

2.6 ÷ 565

This gives us quite a large answer:

0.0046017699

To round to the thousandth place, we look at the third number past the decimal and look to see if we need to round up or round down.
The number to the right of our digit in the thousandth place lets us know (in this case) to round up.

Therefore, 0.0046017699 rounded to the nearest thousandth is:

0.005
Don't forget to label (inches)

How do I factor this polynomial? q^2-121

Answers

q^2-121 =q^2-11^2=(q-11)(q+11)\n \n \na^2-b^2 =(a-b)(a+b)


Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent: Statement Reasons 1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram 2
angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3
BD = BD Reflexive Property 4
triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5
AB = DC, AD = BC Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

Statement                                          Reasons

1.   AB is parallel to DC and         Definition of parallelogram

    AD is parallel to BC

2.   angle 1 = angle 2,                   If two parallel lines are cut by a

    angle 3 = angle 4                    transversal then the alternate

                                                      interior angles are congruent

3.    BD = BD                                   Reflexive Property

4.    \triangle ADB\cong \triangle CBD                 ASA postulate

5.   AB = DC, AD = BC                  (CPCTC)

If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.

According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Therefore option 1 is correct.

Answer:

alternate interior angles, i took the test and got it right

Step-by-step explanation: