54÷6+0.42×(9×8÷2+82)

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

Answer:

Arithmetic content = 300 pages

Geometric content = 180 pages

Step-by-step explanation:

Arithmetic : Geometry = 5 : 3

Total pages of book = 480

How much of each type of content will be needed to make a book of 480 pages?

Total ratio = arithmetic + geometric

= 5 + 3

= 8

Arithmetic content = 5 / 8 × 480

= 0.625 × 480

= 300

Arithmetic content = 300 pages

Geometric content = 3 / 8 × 480

= 0.375 × 480

= 180

Geometric content = 180 pages

Answer:

-6-0

____

6-5

Step-by-step explanation:

its suppose to be a fraction hope it helps please mark brainliest

Answer:

64 and 1/3 steps

Step-by-step explanation:

Answer:

775 / 12 = 64.5833...

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\sqrt[3]{125} =5*5*5=5[/tex]

all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!

Answer:

The sum of the two solutions to the given equation is 1/3.

Step-by-step explanation:

Nature of Roots of a Second-Degree Equation

Given a quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The roots of the equation are:

[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]

The sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]

The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.

We are given the equation:

[tex]3x^2 - x = 4[/tex]

Rearranging:

[tex]3x^2 - x - 4=0[/tex]

The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]

[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]

The sum of the two solutions to the given equation is 1/3.

Answer:The answer is C

Step-by-step explanation:

When you plug it in 7*2 is 14+ 5*3 is 15 you add 14+15 you get 29 and then for the other equation you do 12-5 which gives you the x value of 7. Hope this helps.

Answer:

x = 2

Step-by-step explanation:

I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.

Answer:

x=7

Step-by-step explanation:

Answer:

Maybe c

Step-by-step explanation:

Hello soldier!! The answer is D! Have a great day <3

Answer:

The answer is: D / 1/8(5)

Step-by-step explanation:

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Hope this helps bb's!!

Lots of love and peace your way!!  <3

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

The image of the triangle translation is attached with the answer below.

Read more about translation

https://brainly.com/question/12861087

#SPJ5

Answer:

AC+CB=AB

Step-by-step explanation:

Let's see.... If you are a visual learner this could help.

[tex]A----------C---------------B[/tex]

So you can see that C is right in between them so the distance between AC and the distance between CB would equal the whole line AB. So if you add AC and CB you would get AB.

Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

Answer:

Need more information, will get back to you.

Step-by-step explanation:

How many costumes does she want to make?

Answer: you answer is -$150

Step-by-step explanation:

450 minus 200 minus 200 minus 200 and you get -$150

Answer:

37.3% is the take off

Step-by-step explanation:

so an easy route is to subtract the price after the reduction

89.99-56.49= 33.5 that is 37.3 percent

because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work

Answer:

The answer is 8.9

PLEASE MARK BRAINLIEST

Answer:

8.9

Step-by-step explanation:

it's tooo easy

answer -1296

Answer:

i thin it is 8960

Step-by-step explanation:

44800 divided by five = 8960

Answer:

a. 1,000 trees

b. 3,250 trees

Step-by-step explanation:

a. How many trees will they plant during the fifth year?

b. How many trees will they have planted by the end of the tenth year?​

Using the sum of an arithmetic progression formula

Sn = n/2 {2a+(n-1)d}

Where,

Sn = Sum of an n terms

n = number of terms

a = first term

d = common difference

a.

n = 5

a = 100

d = 50

S5 = n/2 {2a+(n-1)d}

= 5/2 {2*100 + (5-1)50}

= 5/2 {200+(4)50}

= 5/2{200 + 200}

= 5/2(400)

= 2,000 / 2

= 1,000

S5 = 1,000 trees

b. Sn = n/2 {2a+(n-1)d}

n = 10

a = 100

d =50

S10 = 10/2{2*100 + (10-1)50}

= 5{200 + (9)50}

= 5{200 + 450}

= 5(650)

= 3,250

S10 = 3,250 trees

Answer:

The standard deviation is considered a measure of spread.

Step-by-step explanation:

Standard deviation is basically considered a measure of spread, measuring how far data values are from their mean.

For instance, in certain data sets, we may observe the same mean, but their range could be different, and data values in one data set may have been closely concentrated near the mean than the other data set values.

For example,

considering the data set

[tex]15, 15, 15, 14, 16[/tex]

The given data set has a mean: 15

considering the second data set

[tex]2, 7, 14, 22, 30[/tex]

The given data set has also a mean: 15

But, the values in the second data set are clearly more spread out. When the values of a data set are not spread out largely, then the set will have a low standard deviation.

Therefore, the standard deviation is considered a measure of spread.

Answer:

what grade are you in

Step-by-step explanation:

Answer:

h(7+h)

Step-by-step explanation:

You would need to factor the h out of ([tex]7h+h^{2}[/tex])

Answer:

Step-by-step explanation:

put the y intercept at 4. then go down 1 and right three, down one, then right three. go back to the y intercept and then go up one and left three, up one and left three

to answer this you should plot a point at (0,4). That is the y intercept as you can see on the equation +4 is at the end. Since the slope is -1/3, go 1 unit left and 3 up from the y intercept. those are your two points and draw a straight line though.