NO LINKS!!

VWXYZ ~ IJKGH. Find HI, GK, AND JK.

NO LINKS!!VWXYZ ~ IJKGH. Find HI, GK, AND JK.

Answers

Answer 1

Answer:

HI = 35

GK = 45

JK = 25

Provided:

VWXYZ ≅ IJKGH

Given proportional sides:

GH = 30, YZ = 36

Find the scale factor:

30/36 = 5/6

Find missing sides:

1) HI = ZV × 5/6 = 42 × 5/6 = 35

2) GK = XY × 5/6 = 54 × 5/6 = 45

3) JK = WX × 5/6 = 30 × 5/6 = 25

Answer 2

Answer:

HI = 35

GK = 45

JK = 25

Step-by-step explanation:

If VWXYZ ~ IJKGH

Then:

VW ~ IJ  WX ~ JKXY ~ KGYZ ~ GHZV ~ HI

YZ and GH is the only pair of corresponding sides for which we have been given the lengths:

YZ = 36  and GH = 30

Therefore,

VWXYZ : IJKGH = 36 : 30 = 6 : 5

Find HI

  ZV : HI = 6 : 5

⇒ 42 : HI = 6 : 5

⇒ 42/HI = 6/5

⇒ 42 · 5 = 6 HI

⇒ HI = 210/6

HI = 35

Find GK

   YX : GK = 6 : 5

⇒ 54 : GK = 6 : 5

⇒ 54/GK = 6/5

⇒ 54 · 5 = 6 GK

⇒ GK = 270/6

GK = 45

Find JK

   WX : JK = 6 : 5

⇒ 30 : JK = 6 : 5

⇒ 30 /JK = 6/5

⇒ 30 · 5 = 6 JK

⇒ JK = 150/6

JK = 25


Related Questions

Jesse measured a farm and made a scale drawing. The scale of the drawing was 1 centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how many centimeters wide is the goat pen in the drawing?

Answers

46 is the answer have a great day

Help! Please i need it badly

Answers

Answer:

you should take the time and study

Step-by-step explanation:

Math
What can you say about the mean rainfall when comparing the two time periods?

The mean in period 2 is higher than the mean in period 1.
The mean in period 1 is higher than the mean in period 2.
The mean in period 1 is the same as the mean in period 2.

Answers

Answer:

[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]

Step-by-step explanation:

the mean in period 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

the mean in period 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

Answers

The unfilled volume inside the cylinder is 640π cubic units

How to find unfilled volume?

Volume of a cylinder = πr²h

= π × 8² × 15

= π × 64 × 15

= 960π cubic unit

h = heightr = radiusl = slant height

Volume of a cone = 1/3πr²√l² × r²

= 1/3 × π × 8² √17² × 8²

= 1/3 × π × 64 √289 × 64

= 1/3 × π × 64 √353

= 320π cubic unit

Unfilled volume = 960π cubic unit - 320π cubic unit

= 640 cubic unit

The complete question:

A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

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Answer:

640pi

Step-by-step explanation:

Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57

Answers

Answer:

D. $47.57

Step-by-step explanation:

Add up the cost of the two items

$32.61 + $19.82 = $52.43

subtract the cost for the $100

100-52.43 = 47.57

The change is D. $47.57

Answer:

$47.57

Step-by-step explanation:

cost of the t-shirt = $32.61

cost of the hat= $19.32

total cost of items she bought= 32.61+19.82= $52.43

Amount of change she received= 100-52.43= $47.57

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.

Find the revenue function R when x energy drinks are sold.

Answers

Revenue is money made in total. It doesn’t matter how much profit, so the manufacturing cost doesn’t matter.

R = 2x + 8000

On a scale drawing, 9 inches
represents 11 miles. How many
inches represent 55 miles?

Answers

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character

Answers

A because it was telling you about the emperor

in descending order: 0.03, 1.03, 0.13, 1.13​

Answers

Answer:

1.13, 1.03, 0.13, 0.03

.....

Answer:

1.13, 1.03, 0.13, 0.03.

Step-by-step explanation:

Highest value is 1.13 and lowest is 0.03.

You may use k to represent the constant of variation in your working if necessary.

Answers

Answer:

r = 1.6

Step-by-step explanation:

given r varies directly with m² and inversely as n then the equation relating them is

r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation

to find k use the condition r = 18 when m = 6 and n = 4 , then

18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

72 = 36k ( divide both sides by 36 )

2 = k

r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation

when m = 2 and n = 5 , then

r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6

Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, nine of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?

A. 40%
B. 30%
C. 0.3%
D. 9%

Answers

Answer:

B

Step-by-step explanation:

because 30% out of 30 is 9

In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?​

Answers

Answer:

12/28

Step-by-step explanation:

the answer is 12/28 because 12 are men and the rest are mos likely girls,

Answer:

12 / 28

Step-by-step explanation:

Given:

- 28 students total

- 12 are men

so 12 out of the 28 are men which is the same as 12 / 28

Work out the sheet below

Answers

Answer:

It might be 235.62

Step-by-step explanation:

Answer:

[tex]235.6\ cm^3[/tex]

Step-by-step explanation:

Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]

one last question! so i am doing this equation 6x-5=8x+2 but as I am doing it I got 7/-2 but in my answer key both are negative? what am I doing wrong?

this is what I have so far
6x-5=8x+2
6x-8x=5+2
-2x=7

Answers

Answer:

6x - 5 = 8x + 2

or -5-2 = 8x-6x

or -7 = 2x

or -7 / 2 = x

this is correct answer because in fraction form if one number is negative whole fraction is negative

Hey there!

IF YOUR EQUATION IS:

6x - 5 = 8x + 2
THEN:

SUBTRACT 8x to BOTH SIDES

6x - 5 - 8x = 8x + 2 - 8x

SIMPLIFY IT!

-2x - 5 = 2

ADD 5 to BOTH SIDES

-2x - 5 + 5 = 2 + 5

SIMPLIFY IT!
-2x = 2 + 5

-2x = 7

DIVIDE -2 to BOTH SIDES

-2x/-2 = 7/-2

SIMPLIFY IT!
x = -7/2


The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.



Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

In the lab carmen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much solution a as solution b. Solution a is 17% alcohol and solution b is 14% alcohol. How many milliliters of solution b does she use if the resulting mixture has 455 milliliters of pure alcohol?

Answers

Answer:1200

Step-by-step explanation:i might be wrong pls dont hurt me


could you help me with 15 please?

Answers

Answer: 11 pounds

Step-by-step explanation:

Total weight of the first 8 backpacks

8*14

= 112 pounds

Total weight of the second 12 backpacks

12*9

= 108 pounds

Total weight of the whole 20 backpacks

112+108

= 220 pounds

therefore the mean weight of the 20 backpacks is

220 / 20

= 11 pounds

Graph the solution to the following system of inequalities.
-5x+4y> -4
2x+3y2-6
Then give the coordinates of one point in the solution set.

Answers

Answer:

2/3 x 9=99+25x7(78)gxw/98

Step-by-step explanation:

The volume of a cone of height hand base radius r is given by:​

Answers

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

what is 6,973 ×62 ​ equal to
​ ​

Answers

Answer:

432326

Step-by-step explanation:

i just times them together

Answer:

that should be 432,326

Step-by-step explanation:

I do not rly know how to the calculator on this app properly yet but I will try my best to explain it

×6973

62

3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13

and you get this first

13946

and you also multiply your 6 by all the numbers above giving you

41838

so you arrange it like this and get

13946

41838

and you add it together giving you

432,326.

and the third picture should be your answer.

help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.

Answers

Answer:

57 miles.

Step-by-step explanation:

to find

⇒ total number of miles dana ran

given

⇒ monday = 10.2 miles

⇒ tuesday = 11.4 miles

⇒ wednesday and thursday =  11.8 miles

⇒ friday = 12.3 miles

∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3

⇒ 57.5

⇒ 57 miles

PLS NEED HELP! 40 point reward if correct. with brainiest!
I need this done before around 6 pm 5/13/2022 in western time (USA)

Answers

Answer:

Number 1 could be -x.

I don't know the answer to number 2.

Number 3 is the same as 1.

Step-by-step explanation:

sorry. i probably would know the answer if i remembered.

The LCM of 8ab and 12a^2 is
A. 48a³b.
B.) 48a²b.
C. 24a²b.
D. 24ab.
E. 48a².
of 8ab

Answers

Answer:

C.  24a²b

Step-by-step explanation:

8ab = 4a × (2b)

12a² = 4a × (3a)

Then

LCM(8ab , 12a²) = 4a × (2b) × (3a)

                          = (4×2×3) × (a×a×b)

                          = (24) × (a²×b)

                          = 24a²b

2
Two figures are similar, and the scale factor is
2
Over
3

If a side of the larger figure is 12, then the corresponding side in the smaller figure is…..
6
8
12
18

Choose an answer

Answers

The correct answer is 6

what is the midpoint of (4,10) (16,0)

Answers

I’d say 10,5 but I don’t know what method your using so it’s a guess

Answer:

Midpoint(10,5)

Step-by-step explanation:

Midpoint of coordinates

 To find the midpoints add the x-coordinates and divide that by 2 & add the y-coordinates and divide by 2

            [tex]\boxed{\text{\bf midpoint=$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$}}[/tex]

                               [tex]\sf = \left(\dfrac{4+16}{2},\dfrac{10+0}{2}\right)\\\\=\left(\dfrac{20}{2},\dfrac{10}{2}\right)\\\\= \left(10,5\right)[/tex]

Someone help me with this question please

Answers

Answer:

0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer: 0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Csc2x=2. Please help me !!!

Answers

Answer:

[tex]x=\frac{\pi }{4}[/tex]

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

[tex]x=\frac{\pi }{2}[/tex]

but we want to sin(2x) = 1/2 so we make it.

[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]

How many full cases and additional items are needed to fulfill the order

Answers

There are 13 full cases and 2 additional items needed to fulfill the order

How to determine the full cases and additional items?

The given parameters are:

Items ordered = 80Items per case = 6

The number of cases is:

Case = 80/6

Evaluate

Case = 13 Remainder 2

This means that:

The full case is 13 and the additional item is 2

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Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5

Answers

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

HURRY PLS
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

Answers

The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:

What is Scale Factor?

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.

As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.

If the scale factor is between 0 and 1 the image is a reduction.

Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.

Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

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find the center and the radius of the circle (x-7)^2+(y+4)^2=81

Answers

A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

What is the equation of the circle with radius r units, centred at (x,y)?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be  rewritten as,

(x-7)² + [y-(-4)]² = 9²

Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

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