Homework 2 parallel lines cut by a transverse

Answer:

Step-by-step explanation:

16 = - 4y - 12

Bringing like terms on one side

16 + 12 = - 4y

28 = - 4y

28/-4 = y

-7 = y

Answer:

Angle 3, and Angle 6

When added together with angle 4, their degrees equals to 180

Answer:

2 and 3, but 6 and 7 also work, they just aren't right next to each other

Step-by-step explanation:

Answer:

hello your question is incomplete attached below is the missing part of the  question

answer : r = - 0.161 ( iii )

Step-by-step explanation:

The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161  and this is because the data points are showing a less negative correlation

Answer:

linear is when the graph shows a straight line

Answer:

linear is when the graph shows a straight line

Step-by-step explanation:

answer=0.58

Step-by-step explanation:

24/7= 3.42 ,so you subtract this from 4 to get 0.58

Answer:

C

Step-by-step explanation:

I just plugged it in and checked tbh

The point C = ( 2, 1 ) lies on the line 3y = 2x - 1.

The standard form of the equation of a line is given as:

ax + by + c = 0.

Here a, and b, are the coefficients, x, and y are the variables, and c is the constant term.

We have,

Equation of a line:

3y = 2x - 1

We need to check which point lies on the line.

A = ( 2, 6 )

3 x 6 = 2 x 2 - 1

18 = 4 - 1

18 ≠ 3

B = ( 1, 2 )

3 x 2 = 2 x 1 - 1

6 = 2 - 1

6 ≠ 1

C = ( 2, 1 )

3 x 1 = 2 x 2 - 1

3 = 4 - 1

3 = 3

D = ( -2, 1 )

3 x 1 = 2 x (-2) - 1

3 = -4 - 1

3 ≠ -5

E = ( 2, -6 )

3 x (-6) = 2 x 2 - 1

-18 = 4 - 1

-18 ≠ 3

Thus the point C = ( 2, 1 ) lies on the line 3y = 2x - 1.

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Answer:

FV= PV*(1+i)^t

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $2,000

Interest rate (i)= 3.2% = 0.032

Number of periods= t

To calculate the future value (FV) of the investment, we need to use the following formula:

FV= PV*(1+i)^t

For example, Susan invests for 4 years:

FV= 2,000*(1.032^4)

FV= $2,268.55

The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]

Since

Susan won $2000 and invested it into an account with an annual interest rate of 3.2%.

Here Number of periods= t

Therefore we can conclude that The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]

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The initial value of f(x) is 0.

The range of values for f(x) is 0 ≤ f(x) ≤ 6.

*Hint: You can use a table to do this one and plug in -4, -3, -2, and -1 in for x in the rule for the function of f(x), and -4 is your initial x-value. The answer from the first line is the same answer for the other blank.

Hope this helps!

HOPE THIS HELPS YOU...

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

Answer:

43

Step-by-step explanation:

divide 85 then add 1

Answer:

1, 2, 5, 12, 13

Step-by-step explanation:

∠1 = 90 is given, which is a right angle

∠3 = 90 as well because ∠1 and ∠3 are vertically opposite

∠3 = ∠8, because ∠1 and ∠8 are same side exterior angles, which are the same

Therefore ∠3 must be congruent to ∠8  

Answer:

a= −b/x

Step-by-step explanation:

Let's solve for a.

ax2+bx=0

Step 1: Add -bx to both sides.

ax2+bx+−bx=0+−bx

ax2=−bx

Step 2: Divide both sides by x^2.

ax2x2=−bxx2

a=−bx

Answer:

Step-by-step explanation:

perfect sqaure formula (u+w)²=u²+2uw+w²

ax²+bx+c=0  divide by a

[tex]x^{2} +\frac{bx}{a} + \frac{c}{a} =0[/tex]  so u=1, 2uw=2*1*w= b/a, so w=b/2a

[tex](x^{2}+ \frac{bx}{a} +\frac{b^{2} }{4a^{2} } ) +\frac{c}{a} -\frac{b^{2} }{4a^{2} }=0[/tex] now that we formed the perfect sqare solve

[tex](x +\frac{b}{2a} )^{2} +\frac{c*4*a-b^{2} }{4a^{2} } =0[/tex] but we can factor a negative in front of the fraction

[tex](x+\frac{b}{2a} )^{2} -\frac{b^{2} -4ac }{4a^{2} } =0[/tex] now isolate the 2 terms and squareroot both sides

[tex]\sqrt{ (x +\frac{b}{2a} )^{2}} =\sqrt{ \frac{b^{2} -4ac }{4a^{2} } }[/tex] and you will be left with

[tex]x +\frac{b}{2a} =\ + - \frac {\sqrt{ b^{2} -4ac} }{2a }[/tex]  subtract b/2a from both sides

x= [tex]\frac{-b+ - \sqrt{b^{2}-4ac } }{2a}[/tex]

Answer:

y=$25x+30

Step-by-step explanation:

This is the correct answer. The reason is that the equation is y=mx + b. b is like y-intercept, and that answer would be $30. $25x is correct because the question says per month, and when you see that it means ¨x¨.

Answer:

14.7

Step-by-step explanation:

Step-by-step explanation:

its the simplest form.........

Answer:

You can not reduce it further only in decimals

Answer:

The fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.

The percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.

Step-by-step explanation:

From the question, the stylist cut 0.36 inch off Jenny's hair.

To determine what fraction is equivalent to the amount of Jenny's hair the stylist cut off, we will express 0.36 inch as a fraction.

[tex]0.36 = \frac{36}{100}[/tex]

Then, we will reduce [tex]\frac{36}{100}[/tex] to a fraction in its lowest term

[tex]\frac{36}{100} = \frac{9}{25}[/tex]

Hence, the fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.

For the percentage equivalent to the amount of Jenny's hair the stylist cut off, we will express [tex]\frac{9}{25}[/tex] as a percentage. That is

[tex]\frac{9}{25} \times 100[/tex]%

= 36%

Hence, the percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.

Answer:

11 - (-3 5/8)

= 11 + 3 5/8 ( 2 negative signs become positive)

answer is B.11 + 3 5/8

Step-by-step explanation:

Answer:

The answer is 11 + 3 5/8

Step-by-step explanation:

I did it on khan

Answer: 76

Step-by-step explanation: 29 + 47

Answer:

37.5 units

Step-by-step explanation:

I assume that there is condition: BC║DE . If so, then ΔABC ~ ΔADE ⇒ that corresponding sides are proportional.

[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AC}{AE}[/tex]

AC = 30 + 20 = 50

[tex]\frac{x}{15}[/tex] = [tex]\frac{50}{20}[/tex] ⇒ x = [tex]\frac{15*50}{20}[/tex] = 37.5 units

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

Answer:

form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest

I may be wrong been for ever since I did it on paper

Answer:

arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l

hope it helps

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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why don't you want an explanation, thats how you learn.

Answer:

It appears the slope is 1, 4 & the y-intercept is 0, 5.

Step-by-step explanation:

Per your request, no explanations required.

Good luck!!