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inna [77]
3 years ago
15

10 to the power of 16 times 10 to the power of -3

Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

the answer is the Scientific notation of 1×10^13

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In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
lisabon 2012 [21]

To enable the completion of the proof that line <em>l</em> is parallel to line <em>m</em>, a

diagram showing the lines and their common transversal is attached.

The completed two column proof is presented as follows;

Statement  {}                                                      Reason

1. ∠1 and ∠2 are supplementary angles  {}   1. Given

2. m∠1 + m∠2 = 180°   {}                                 2. <u>Definition of supplementary ∠s</u>

3. ∠1 and ∠3 are supplementary angles  {}  3. Exterior sides in opposite rays  

4. <u>m∠1 + m∠3 = 180° </u>    {}                                4. <u>Definition of supplementary ∠s</u>

5. m∠1 + m∠2 = m∠1 + m∠3      {}                   5. <u>Transitive property of equality</u>

6. <u>m∠2 = m∠3 </u>     {}                                        6. <u>Subtraction property of equality</u>    

7. l ║ m      {}                                                   7. <u>Converse of alternate interior </u>

    {}                                                                      <u>angles postulate</u>

Reasons:

  • Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°

  • Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)

  • Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles

  • Reason for statement 5: Transitive property of equality describes the property that if a number <em>x</em> = <em>y</em>, and <em>z </em>= <em>y</em>, then <em>x</em> = <em>z</em>.

  • Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality

  • Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two  lines and a common transversal are congruent, the two lines are parallel.

Learn more here:

brainly.com/question/25178453

6 0
2 years ago
MATH HELP! I'm trying to use dot products and vectors for my Pre-calc class..:
Kamila [148]
2v = <-10, 4>
4u = <-24, 4>
-4u = <24, -4>

-4u + 2v = <24, -4> + <-10, 4> = <14, 0>
3 0
3 years ago
Read 2 more answers
suppose the circumference of a crop circle is 150.7968 hectometers (hm) what's the radius of the circle? (usett=3.1416)​
gulaghasi [49]

Answer:

The radius of the circle is 24\ hm

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

In this problem we have

C=150.7968\ hm

\pi=3.1416

substitute and solve for r

150.7968=2(3.1416)r

r=150.7968/(2(3.1416))=24\ hm

7 0
3 years ago
Read 2 more answers
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou
Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0
2 years ago
Simply the complex fraction 2/3/1/3
Alexxandr [17]

Answer:

the answer is 2

Step-by-step explanation:

2/3/1/3 were going to take 1/3 multiply it by 2/3 and switch the nume and the deno.

2/3 x 3/1 = 6/3

6/3 = 2


3 0
3 years ago
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