Given klmn is a trapezoid, kl = mn, m<1 = m<2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs

Answers

Answer 1

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

[tex]\dfrac{lm}{kn}=\dfrac{8}{9}[/tex]

Or this could be written as

[tex]lm=8x\\kn=9x[/tex]

Now the remaining two sides are given as

[tex]lk=lm[/tex] as this form an isosceles triangle so

[tex]lk=8x[/tex]

Similarly

[tex]mn=lm\\[/tex]

Or

[tex]mn=8x[/tex]

Now the perimeter is given as

[tex]\text{perimeter}=lm+mn+kn+lk\\[/tex]

Here perimeter is given as 132 so this gives:

[tex]\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4[/tex]

So the four legs are of length as given below:

[tex]lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36[/tex]

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

Given Klmn Is A Trapezoid, Kl = Mn, M&lt;1 = M&lt;2, Lm/kn = 8/9, Pklmn = 132. Find: The Length Of The

Related Questions

Whoever gives an answer first gets Brainliest

Answers

Answer:

answer to what?

Step-by-step explanation:

Answer:

Thanks mate n.n

Have a good one !

Which expression is equivalent to 34(4h - 6)?

) 3h -92

) 4h +92

) 3h - 6

) 4h + 6

Answers

Answer:

Step-by-step explanation:

136h-24 which is not listed in your choices

The diameter of a circle is 14 ft.
What is the area of the circle in terms of π?

Answers

Answer:

49π ft²

Step-by-step explanation:

[tex]A=\pi r^2[/tex] where r is the radius of the circle

To find the radius, divide the diameter by 2:

14 ft ÷ 2 = 7 ft

Plug the radius 7 ft into the equation

[tex]A=\pi (7)^2\\A=49\pi[/tex]

Therefore, the area of the circle in terms of pi is 49π ft².

I hope this helps!

Answer:

49π

Step-by-step explanation:

Diameter=14

Radius=14/2=7

Area=πr squared

Area=7 squared π

Area=49π

what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction

Answers

Answer: The answer is A

Step-by-step explanation:

A/4x+B/x+7

The correct form of the partial fraction decomposition for the given expression is Option A

What is Partial Fraction Decomposition ?

Partial Fraction Decomposition is the method of simplifying rational expressions.

The expression given is

[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]

Applying Partial Decomposition

[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]

It can be written as

[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]

Therefore Option A is the answer.

To know more about Partial Factor Decomposition

https://brainly.com/question/2516522

#SPJ2

I. Daska is situated at a distance of 15 miles from both Gujranwala and Sialkot. A bus travels from Gujranwala to Daska at an average speed of 25 miles per hour, from Daska to Sialkot at an average speed of 40 miles per hour and returns to Daska at an average speed of 30 miles per hour. Find the average speed for the entire trip.

Answers

Answer:

The average speed of the entire trip is 8.5 miles per hour.

Step-by-step explanation:

Speed = Total  Distance / Total Time

So we have to find the total distance and the total time taken .

1) From Gujranwala to Daska

speed= 25miles/hour           distance = 15miles

Time taken = distance / speed

                   = 15/25= 0.6 hours

2)  From Daska to Sialkot

speed= 40miles/hour           distance = 15miles

Time taken = distance / speed

                   = 40/15= 2.67 hours

3 ) From  Sialkot to Daska

speed= 30miles/hour           distance = 15miles

Time taken = distance / speed

                   = 30/15= 2 hours

The total distance traveled to three places is = 15+ 15+15= 45miles

The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours

Speed = Total  Distance / Total Time

Speed= 45/ 5.3

          = 8.49=8.5 miles per hour

The average speed of the entire trip is 8.5 miles per hour.

how do i include a screenshot

Answers

include a ss for what,

There will be a nail clip tool when you press the + button. Then you will be able to access your file you need to enter.

Which expression is equivalent to 7x + 4x2 – 5x?

Answers

Answer:

2x+8

Step-by-step explanation:

Answer:

[tex]4x^{2} +2x[/tex]

Step-by-step explanation:

I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.

So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.

Lauren is booking a band and a DJ for a dance, and wants to keep the cost of the
entertainment under $1,300. A band can play for part of the time at an hourly rate of $120,
and a DJ can play for the remaining time at an hourly rate of $92.
Select the inequality in standard form that describes this situation. Use the given
numbers
and the following variables.


x = the number of hours the band will play
y = the number of hours the DJ will play

Answers- A 120+x+92+y>1,300
B: 120x+92y>1,300
C: 120x+92y<1,300
D: 120+x+92+y<1,300

Answers

Answer:

C: 120x+92y<1,300

Step-by-step explanation:

Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.

Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y

The total cost of the band is DJ playing is thus 120x + 92y.

Since we require this to be under $1,300, we us the less than sign '<' to show the relation.

So, 120x + 92y < 1300

So, the answer is C

Thank you to anyone who answers .

Answers

Answer:

B: 33 3/4

Step-by-step explanation:

PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!

Answers

Answer:

77-55=22, i don't know if this is the answer if i'm wrong sorry im just trying to help you.For every 22 followers tyler has, Naomi has 22 leser followers

Step-by-step explanation:

IF i am right pls subscribe to Amiredagoat Yt

X - 2y = -3
2x + y = -1

Answers

Answer:

y = 1

x = -1

Step-by-step explanation:

x - 2y = -3, then x = 2y - 3

2x + y = -1

substitute for x:

2(2y - 3) + y = -1

4y - 6 + y = -1

5y = 5

y = 1

x = 2 - 3 = -1

Answer:

it can only be simp[lified

so it will be

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

3x+3y=-4

cannot be solved further

Step-by-step explanation:

A triangle has sides with lengths of 48 meters, 51 meters, and 31 meters. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

Formula = a^2 + b^2 = c^2

Putting values

= (31)^2 + (48)^2 = (51)^2

= 961 + 2304 = 2601

= 3265 = 2601

Both sides are not equal so it is not a right triangle

The fuel mix for a small engine contains only 2 ingredients: gasoline and oil. If the mix requires 5 ounces of gasoline for every 6 ounces of oil, how many ounces of gasoline are needed to make 33 ounces of fuel mix?

Answers

Answer:

15

Step-by-step explanation:

(brainiest)

Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6

Answers

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

11n - 11 + 35 = 3n

24 = -8n

n = -3

Marianne's ring has a radius of 8mm. She needs to get it resized so that the circumference is 52 mm. How much larger will the new circumference be? Round your answer to the nearest tenth

Answers

Answer:

0.28mm larger

Step-by-step explanation:

Given data

Radius of ring= 8mm

Circumference

C= 2πr

C= 2*3.14*8

C=50.24mm

The resized ring has a circumference of =52 mm

Hence the radius will be

52= 2*3.14*r

52= 6.28r

r= 52/6.28

r= 8.28mm

Hence the resized ring is

8.28-8

=0.28mm larger

The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
7 cm
7 cm
7 cm
7 cm
26 cm

Answers

Step-by-step explanation:

54 because you add 7+7+7+7+26=54

Girrls and boys plsss i need help like frl:)

Answers

D- Most babysit because it pays more per-hour.

The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.

Hope this helps!

Have a great day!

- Hailey

Claim shape a is a rectangle please help

Answers

Answer:

ummkmmmm

Step-by-step explanation:

Answer:

No, the shape is not a rectangle.

Step-by-step explanation:

A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.

Good luck ^^

ANSWER FOR BRAINLIEST:

Mark all of the following that are measures of Central Tendency.


Mean

Range

Mode

Median

Mean Absolute Deviation

Outlier

Answers

Step-by-step explanation:

I think mode,range and median dpo ako sure

the greatest common factor of 9w2 and 10w4.

Answers

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

You deposit $100 in your bank account. The account earns 2% simple interest in 5 years. How much interest did you earn?

Answers

Answer is $110.4080803 or $110.41 rounded

Please look at the screenshot

Answers

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

HELP I WILL GIVE BRAINIEST

Answers

Answer:

For the first one the answer is:

<K = 31°

Sorry I don't know the second one.

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

Find the surface area of the rectangular prism.
5 in.
7 in
4 in.

Answers

Answer:

A=166

that's all can calculate

A sphere has a volume of 1,436 in3. What is its radius?

Answers

Answer:

do the reverse of pie r squared

Step-by-step explanation:

The building on Daughtery road are even numbered from 12-136. How many buildings have an address with at least one 4?

Answers

Answer:

Total 22 buildings have at least one 4 in their address

Step-by-step explanation:

Number between 12 to 136 are as given below -

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

Total numbers having at least 1 four are

14

24

34

40

41

42

43

44

45

46

47

48

49

54

64

74

84

94

104

114

124

134

Total 22 buildings have at least one 4 in their address

Help me with this, will give brainlist to best explained asnwer

Answers

Answer:

I'd say the mode, 21, is the best response. It appears the most frequently and it's also the median.

Explanation:

Mean: 115 / 5 = 23

Median: 19, 21, 21, 26, 28

Mode: 19, 21, 21, 26, 28

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

What percent of the scores were below 66?

What is the probability that a student earned a score between 66 and 86?

Answers

Answer:

a) 15.866%

b) 0.68268

Step-by-step explanation:

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

We solve the above question using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 76

σ is the population standard deviation = 10

a) What percent of the scores were below 66?

x < 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x<66) = 0.15866

Converting to Percentage =

0.15866 × 100

= 15.866%

b) What is the probability that a student earned a score between 66 and 86?

For x = 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x≤ 66) = 0.15866

x = 66 = 0.15866

For x = 86

Hence,

z = 86 - 76/10

z = 1

Probability value from Z-Table:

P(x≤ 86) = 0.15866

x = 66 = 0.15866

Probability value from Z-Table:

P(x = 86) = 0.84134

The probability that a student earned a score between 66 and 86 is calculated as:

P(x = 86) - P(x = 76)

= 0.84134 - 0.15866

= 0.68268

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