1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
siniylev [52]
3 years ago
6

Given: KLMN is a trapezoid m∠N = m∠KML ME ⊥ KN , ME = 3 5 , KE = 8, LM KN = 3 5 Find: KM, LM, KN, Area of KLMN

Mathematics
1 answer:
prisoha [69]3 years ago
7 0
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the 
KM² = KE² + ME²KM² = 8² + (3√5)²       = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N  Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the  formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM)          = 1/2 * 3√5 * (40 + 24)         = 1/2 * 3√5 * 64         = 3 x 2.23 * 32         = 214.66 units²
You might be interested in
1/2(x + 1)²- 3
Ierofanga [76]

Answer:

  • a = 1/2
  • h = -1
  • k = -3

Step-by-step explanation:

We assume you want to compare your expression to the form ...

  a(x -h)² +k

  1/2(x +1)² +k

The multiplier outside parentheses is ...

  a = 1/2

The horizontal offset inside parentheses is ...

  -h = 1

  h = -1

The vertical offset outside parentheses is ...

  k = -3

4 0
3 years ago
Dom josin is paid 18 as a pastry chef for regular 35hours week over rate is 1.5 times regular hourly rate he work 5 overtime hou
Nonamiya [84]

35 times 18 is $630 and 5 hours overtime  times 27 is $135 so you add the 630 and 135 Dom's pay is $765.00

5 0
3 years ago
What happens to the volume of a cone when the radius is doubled ?
jarptica [38.1K]
It is multiplied by to because the raidouis is double.
4 0
3 years ago
the insurance company pays the forecast of 3900 prescriptions claims out of 4500 prescription claims submitted what is the rate
nadya68 [22]

Answer:

x=0.87  or   86.67%

13 prescription claims out of 15 are paid

Step-by-step explanation:

First we organize the data:

prescription claims submitted: 4500

Prescriptions: 3900

The rate of claims paid is calculated using the following formula:

x =\frac{Paid}{Total}

We know that:

Paid = 3900

Total = 4500

So

x =\frac{3900}{4500}

x =\frac{39}{45}

x =\frac{13}{15}

x=0.87

6 0
3 years ago
Could someone help me with these problems, please :)​
Elanso [62]

Answer:

A for first one and C

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • 275 + 180 + 120=275 +_____=_____
    11·2 answers
  • What is 5/3 times 6/48
    8·2 answers
  • Three cells with generation times of 60 minutes are inoculated into a culture medium. how many cells are there after 5 hours?
    9·2 answers
  • Steve has received $200 in the form of a dividend. What type of income is this.
    10·2 answers
  • I cant download the answers.
    5·2 answers
  • Mr. Smith wants to order pizza for the Honor Roll party. He is going to buy one box of pepperoni pizza for $8.25 and c boxes of
    11·1 answer
  • What is the equation of the line that passes through the point (3,-3)(3,−3) and has a slope of 0?
    7·1 answer
  • PLEASE ANSWER if a ball falls off a cliff that is 30 meters tall and down to the bottom of a pond that is 15 meters deep, what i
    12·1 answer
  • HELPP PLEASEE TELL ME WHICH IS RIGHT AND WRONG AND HELP KE EXPLAIN I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILE WOULD BE DEE
    12·2 answers
  • What is the degree of the polynomial<img src="https://tex.z-dn.net/?f=%60f%5Cleft%28x%5Cright%29%3Dx%5E%7B3%7D%2B5x%5E%7B4%7D-2x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!