One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths of the sides of the kite

Answers

Answer 1

Answer:

[tex]9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}[/tex]

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

[tex]2x+2(4x-8)=78[/tex], where [tex]x[/tex] is the length of the shorter sides.

Solving, we get:

[tex]2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}[/tex].

Plugging in [tex]x=9.4[/tex] into [tex]4x-8[/tex], we get:

[tex]4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}[/tex].

Therefore, two sides have length [tex]9.4\:\mathrm{cm}[/tex] and two sides have length [tex]29.6\:\mathrm{cm}[/tex].


Related Questions

Mike and Andy are each reading the same book mike reads 2\4 of the book on Tuesday and 1\3 of the book on Wednesday Andy reads 1\2 of the book on Tuesday and 1\5 of the book on Wednesday Andy says that all together he reads more of the book on Tuesday and Wensday then mike

Answers

Answer:

Andy's claim is incorrect

Step-by-step explanation:

Given

Mike:

[tex]Tuesday = \frac{2}{4}[/tex]

[tex]Wednesday = \frac{1}{3}[/tex]

Andy:

[tex]Tuesday = \frac{1}{2}[/tex]

[tex]Wednesday = \frac{1}{5}[/tex]

Required

Is Andy correct?

First, we need to calculate the fraction of book read by Mike.

[tex]Mike = \frac{2}{4} + \frac{1}{3}[/tex]

Take LCM

[tex]Mike = \frac{6+4}{12}[/tex]

[tex]Mike = \frac{10}{12}[/tex]

Convert to decimal

[tex]Mike = 0.833\\[/tex]

Next, we perform the same calcuation for Andy

[tex]Andy = \frac{1}{2} + \frac{1}{5}[/tex]

Take LCM

[tex]Andy = \frac{5+2}{10}[/tex]

[tex]Andy = \frac{7}{10}[/tex]

Convert to decimal

[tex]Andy = 0.70[/tex]

Andy's claim that he read more of the book is incorrect because 0.833 (for Mike) is greater than 0.70 (for Andy)

the difference of a number b and 10​

Answers

Answer: the written expression would be b - 10

Step-by-step explanation:

Find the equation of the line passing through (1,4) and (-2,-1).

Answers

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!

6. (-2, 1) and (0,3) Slope= Equation=​

answer both please

Answers

Answer:

(-2, 1) and (0, 3) has the slope of m = 1 and the equation is y = x + 3

(0, -2) and (3, -5) has the slope of m = 1 and the equation is y = -x - 2

Step-by-step explanation:

Hope this helps!

1100 students attend Ridgewood Junior High School. 20% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

20% of 1100 is 220, so two hundred and twenty students brought their lunch to school on Thursday (and every other school day).

Step-by-step explanation:

The day of the week is a distraction.  All you need to know is that 20% of 1100 students bring their lunch to school every day. 20% of 1100 is 200 + 20, or 220. So 220 students bring their lunch to school every day.

Are roots biotic or abiotic?

Answers

Soil is often considered an abiotic factor since it is mostly made up of small particles of rock (sand and clay) mixed with decomposed plants and animals. Plants use their roots to get water and nutrients from the soil.

Also just a tip, make sure to put it in the correct category next time cause someone can report it :(

Anyways hope this helps!! :D

plz help i dont want to fail

Answers

Answer:

[tex]p=\$1.50,\\c=\$0.75[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}3p+2c=6.00,\\2p+3c=5.25\\\end{cases}[/tex]

Multiply the second equation by [tex]-\frac{3}{2}[/tex] to isolate and solve for [tex]c[/tex]:

[tex]\begin{cases}3p+2c=6.00,\\-3p-4.5c=-7.875\\\end{cases},\\-2.5c=-1.875,\\c=\fbox{$\$0.75$}[/tex],

Now plug in [tex]c=0.75[/tex] into any equation to solve for [tex]p[/tex]:

[tex]3p+2(0.75)=6.00,\\3p=4.50,\\p=\fbox{$\$1.50$}[/tex].

Answer:

One Slice of Pizza is $1.50

One cola is $0.75

Step-by-step explanation:

First, we need to define our variables:

x = pizza

y = cola

Next, we need to create two equations (one for Tanisha's order and one for Rachels order) using the information provided in the problem:

3x + 2y = 6.00

2x + 3y = 5.25

Now, we need to use one of the equations to solve for one of the variables:

3x + 2y = 6.00

2y = 6 - 3x

y = 3 - 1.5x

Next, we need to substitute y into one of the equations to find x:

2x + 3 (3 - 1.5x) = 5.25

2x + 9 - 4.5x = 5.25

-2.5x + 9 = 5.25

-2.5x = -3.75

x (or price per slice of pizza) = 1.50

Finally, we need to use the value we found for x to solve for y:

(2 x 1.5) + 3y = 5.25

3 + 3y = 5.25

3y = 2.25

y (or price per cola) = .75

I hope this helps!

-TheBusinessMan

Find the difference (−2g+7)−(g+11)

Answers

Answer:

-3g -4

Step-by-step explanation:

plz brainestt

Answer:

-3g-4

Step-by-step explanation:

Distribute the minus sign

-2g+7-g-11

(-2g-g) + (7-11)

-3g-4

BROO HELP ME WITH THIS QUESTION BROOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

x=y

Step-by-step explanation:

becuase I need pointssss

2x^-2 y^-2 x= 3 and y = –2?

Answers

Answer:yes

Step-by-step explanation:

Answer:

1/18.

Step-by-step explanation:

2x^-2 y^-2

x= 3 and y = –2?

Answer is 2(3)^-2 * (-2)^-2

= 2/(3)^2 * 1/(-2)^2

= 2/9 *  1/4

= 2/36

= 1/18.

I don’t understand help plzz

Answers

Answer:

Slope/m=1/2, y-intercept=-4

Step-by-step explanation:

Y=mx+b is slope-intercept form. So in the equation y=1/2x-4, m stands for the slope, and in the equation 1/2 is in the place of m. B stands for the y-intercept, and in its place is -4.

Ahem, I'm writing with a mouse, excuse the scraggly lines and writing on the graph.

This question hard solve fast lots of points

Answers

Answer:

2<a<5

Step-by-step explanation:

write an equation of the line and interpret the slope ​

Answers

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither P(-3,14) q(2,-1) r(4,8) s(-2,-10)

Answers

Answer:

Neither

Step-by-step explanation:

The slope of PQ is -3.

The slope of RS is 3.

Parallel lines have the same slope. The slopes for perpendicular lines are the opposite of the reciprocal. PQ and RS are intersecting lines, but not parallel or perpendicular.

Write an equation in slope intercept form that passes through (-1, 4) and (3, -8).

Answers

Answer:

Step-by-step explanation:

here is an example in the shown file

Answer:

y= -3x+1

Step-by-step explanation:

Marla bought 1250 pounds of pecans at $1.29 per pound and another 1500 pounds of pecans at $1.59 per pound. She sold all the pecans for \$6.75 per kilogram. After paying her suppliers, how much money did she make?

Answers

Answer:

After paying her suppliers, she made $4,575.

Step-by-step explanation:

First, you have to multiply the number of pounds purchased for the price:

$1.29*1250=$1,612.5

$1.50*1500=$2,250

Now, you can add both amounts to find the total cost:

$1,612.5+$2,250=$3,862.5

Now, you have to find the total amount of lb purchased and determine the kg they represent given that 1 kg is equal to 2.20 lb:

1250+1500=2750

2.20 lb  →  1 kg

2750 lb →    x

x=(2750*1)/2.20= 1250 kg

Now, you can find the total amount sold by multiplying the price per kilogram for the amount of kg:

$6.75*1250=$8,437.5

Finally, you have to subtract the total cost from the total amount sold:

$8,437.5-$3,862.5=$4,575

According to this, the answer is that after paying her suppliers, she made $4,575.

All the students in the 6th grade purchased
their lunch or brought their lunch from
home on Friday. 24% of the students
purchased their lunch and 190 students
bought their lunch from home. How many
total students are in 6th grade?

Answers

Answer:

236

Step-by-step explanation:

24%=.24

.24x190=46

46+190=236

HELP!!!!! Find the percent of change. Round to the nearest tenth, if necessary.

Sarah started her diet on January 1st at 198 pounds. By the end of the year, she weighed 112 pounds.

Answers

Answer:

86

Step-by-step explanation:

I just subtracted 198 and 112

A spinner with 5 equal section labeled 1-5 is spun 50 times. The results are shown in the table below. What is the theoretical probability of spinning an even number

Answers

Answer:

18/50

Step-by-step explanation:

The spinner was spun 50 times and both 2 and 4 are even numbers which was landed on 8 and 10 time so therefore 18/50

Answer:

i think its 2/5

Step-by-step explanation:

it says a probability of spinning an even number and there is 2 even numbers so out of the 5 there is 2 of them so it would be 2/5

help with this one easy question

Answers

Answer:

a.

Step-by-step explanation:

Answer:

Question 1 is A

Question 2 is D

Question 3 is A

Question 4 is D

Question 5 is C

To visit the top of the Empire State Buidling, a ticket
cost $20.00 in 2009. In 2020, the price rose to $50.00. What was the percent increase?

Answers

Answer:

Step-by-step explanation:

the percent increase is

(50-20/20)*100=(30/20)*100=150

150% increase

Find the value of f (-2)

Answers

Answer:

f(-2)=-5

Step-by-step explanation:

i think of the line -5

the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.

Answers

Answer:

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

48m ÷ 3 = 16 m ← value of 1 part of the ratio, so

5 parts = 5 × 16 m = 80 m

Then breadth = 48 m and length = 80 m

perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m

area = lb = 80 × 48 = 3840 m²

12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.​

Answers

Answer:

VY = 16

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide VX at the ratio of 2: 1 from the vertex V

VY: YX = 2: 1

∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ VY × 1 = YX × 2

VY = 2YX

∵ YX = 8

∴ VY = 2(8)

VY = 16

I need help it really hard

Answers

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

The triangles are not similar

I need help with this plz

Answers

Answer:

c

Step-by-step explanation:

7/10

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g28hpierhdf0iuvhb2riuwdfbhv0uiopt4kwhdsf09urfhugt3ehvnpiutfhboijdgnvpiudehbt0cshf897ufghvt87dmhsf7ghf9uyh

Answers

Answer:

8. 7

9. 9

Step-by-step explanation:

27/12 times 4 is 9, 9-2 is 7

3x-18=x

2x=18

x=9

Answers:
z = 7
x = 9

Explanation:
cba

solve the following system of equations​

Answers

-9x+12y=15
-10x+12y=6

x=9

-81+12y=15
12y=96

y=8

Answer: x = 9 y = 8

A value is decrease by 92% for a new value of 13.12 find the original value

Answers

Step-by-step explanation:

Decreased by 92% = 8% of original

8% of original value = New value = 13.12

100% of original value = 13.12 * (100/8) = 164.

The original value is 164.

Please help me thank you

Answers

The answer is 47 or x = 47
180-58+75=
The answer is x= 14

I hope this help you

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