Use the diagram to determine which of the statements must be true.
No lines are parallel.
c∥d
a∥b
c∥e
a∥c
d∥e
a∥e
b∥d

Answer:

Therefore, Peter is 21 years old.

Step-by-step explanation:

    [tex]\bf{ x+11=\dfrac{(x-13)^2}{2} \ \Longrightarrow \ 2x+22=x^2-26x+169 }[/tex]

          [tex]\bf{ 0=x^2-28x+147=(x-21)(x+7) }[/tex]

The means of simplifying is by factoring. The simplified form of the expression is 3x²  - 29x + 56

The means of simplifying is by factoring

Given the expression

(x - 7) (3x-8)

Expand

(x - 7) (3x -8)

3x² -8x - 21x +56

3x²  - 29x + 56

Hence the simplified form of the expression is 3x²  - 29x + 56

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

We have to find the probability of not getting odd, whole rolling a 6 sided die ~

Actually dices have 3 odd numbers (1 , 3 , 5) and 3 non - odd numbers (2 , 4 ,6)

When we roll a dice, we may get any of the six numbers, so total possible outcomes are 6

and, The number of Favorable outcomes is 3, i.e non - odd numbers.

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{favourable \: outcomes}{total \: \: outcomes} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{3}{6} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{1}{2} \: \: \: or \: \: \: 0.5[/tex]

Answer:

½

Step-by-step explanation:

Not odd (even) numbers from 1 - 6 = 2, 4, 6

Any of these 3 numbers can come when rolling a cubical 6 - sided dice.

Then,

P (not odd)

= Favourable outcomes / total number of outcomes

= 3/6

= ½

_____

Hope it helps ⚜

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: then let's be kinda quaint in the matter. And assume your understanding of word integration in a 5-Manifold?

Answer:

4.0  

Step-by-step explanation:

Here is one way

By pythag theorem  AD = sqrt (5,5^2 - 4.3^2) =3.42928564

Then pythag theorem again for the lower triangle

   BD = sqrt (5.3^2 - 3.42928564^2) = 4.041

Answer:

8x4-2x2+7

Step-by-step explanation:

it's 100 percent right trust me

Answer:

Here is the ans ...hope it helps:)

Write tan in terms of sin and cos.

[tex]\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1[/tex]

Rewrite and expand the given limand as the product

[tex]\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)[/tex]

Then using the known limit above, it follows that

[tex]\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}[/tex]

Answer:

Kindly read through

Step-by-step explanation:

All have been solved step by step

The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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Sam’s operating expenses for last year given the gross profit and the net income is  $33,345.

Operating expense is the expense that a company incurs in the course of running its business. It is determined by subtracting net income from gross profit.

Operating expense =  gross profit - net income

$105,355 -  $72,010 = $33,345

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Answer:

B

Step-by-step explanation:

Answer:

43 + 7i

Step-by-step explanation:

Given: (1 + 5i)(3 - 8i)

To find: Multiplication and simplification

Solution:

i=[tex]\sqrt{-1}[/tex],

Now, we simply open the brackets as follows:

(1 + 5i)(3 - 8i)

1(3 - 8i) + 5i (3 - 8i)

3 - 8i + 15i - 40[tex]i^{2}[/tex]

3 + 7i - 40[tex]i^{2}[/tex] - (i)

[tex]i^{2}[/tex] = i * i

[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = -1

Now, put  [tex]i^{2}[/tex] = -1 into the equation (i)

we get

⇒ 3 + 7i -40(-1)

⇒ 3 + 7i + 40

⇒ 43 + 7i

∴ Final Answer : 43 + 7i

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

what we need to know here is that :

[tex]\qquad \sf  \dashrightarrow \:i \cdot i = - 1[/tex]

Now, let's proceed accordingly ~

[tex]\qquad \sf  \dashrightarrow \:(1 + 5i) \cdot(3 - 8i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:(1 \cdot3) - (1 \sdot8i) + (5i \cdot3) - (5i \cdot8i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3 - 8i + 15i - ( - 1)(40)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3 + 7i - ( - 40)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3 + 40 + 7i[/tex]

[tex]\qquad \sf  \dashrightarrow \:43 + 7i[/tex]

Answer:

C=12

Step-by-step explanation:

The interior angle of a polygon is 360.

So just add them all up.

(3c-29)+(127)+(c+43)+(c+43)+(2c+36)+(c+44)=360

Combine like terms

8c+264=360

Simplify

8c=96 .  Divide both sides by 8

C=12

Answer:

Below in bold.

Step-by-step explanation:

109, 94, 87, 103, 89, 112, 98, 115, 99

First arrange them in ascending order.

87 89 94 98 99 103 109 112 115

The median is the middle value:

= 99.

The lower quartile

= (89+94) / 2

= 183/2

= 91.5.

Answer:

I don't see your questions.

Egypt. Africa. America

Answer:

Item #1

[tex]-\frac{27}{8}[/tex] fraction form

[tex]- 3.375[/tex] decimal form

[tex]-3\frac{3}{8}[/tex] mixed number

Item #2

$7.98 (rounded to nearest cent)

Answer:

v=13117.69 m3

Step-by-step explanation:

Hope this helps.

Answer:

The answer is 803.84

Step-by-step explanation:

Carry on learning i hope this helps..

Step-by-step explanation:

100% = 350

1% = 100%/100 = 350/100 = 3.5

how many % are 70 ? well, as many as often 1% fits into 70 :

70/3.5 = 20%

Answer:

BC≈8,38

Step-by-step explanation:

AB=a

BC=c

CA=b

a²+b²=c²

3.3²+7.7²=c²

√70,18=√c²

c≈8,38

Step-by-step explanation:

profit= revenue - cost

profit = 2(87)-69.80

=174-69.20=104.8 R

Answer:

11.86

Step-by-step explanation:

Answer:

I'm not too sure but I think It's 34

Step-by-step explanation:

Rusty in that particular area of math

The correct answer is option C which is nine more than two-fifths of the number is nine.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.

The given expression is:-

( 2 / 5) x  +  9 = 9

The expression can be written in the words nine more than two-fifths of the number is nine.

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Answer:

Step-by-step explanation:

Answer:

The slope is 4/3

Step-by-step explanation:

The solution is in the image