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
uysha [10]
3 years ago
13

In the diagram below, LATE is an isosceles trapezoid with LE ≅ AT , LA = 24, ET = 40, and AT = 10. Altitudes LF and AG are drawn

.
What is the length of LF?
Mathematics
1 answer:
weqwewe [10]3 years ago
4 0

Answer:

6

Step-by-step explanation:

From the Trapezoid attached :

EF = GT

FG = LA

LE = AT = 10

LA = 24 ; FG = 24

FG + EF + GT = 40

Let : EF and GT = x

FG + 2x = 40

24 + 2x = 40

2x = 40 - 24

2x = 16

x = 16 ÷ 2 = 8

Hence, EF = GT = 8

Using Pythagoras :

Opposite² = hypotenus² - Adjacent²

LF² = LE² - FE²

LF² = 10² - 8²

LF² = 100 - 64

LF² = 36

LF = √36

LF = 6

You might be interested in
???????????????????????????
FinnZ [79.3K]

Answer:

y-(-20)=1(x-(-10))

Step-by-step explanation:

If you're really in college you should know this, but here's the explanation:

m= <u>-9-(-20)</u>

      1-(-10)

  = <u>11</u>

     11

m = 1

The equation is y-y^1=m(x-x^1)

Replace the y^1, m, and x^1 from the first point

You get y-(-20)=1(x-(-10))

Or simplify that into y+20=x+10

You can also simplify it more but I don't think you need that for that question

7 0
2 years ago
winston earns $140.00 by selling 56 hotdogs at a concession stand at school. by using the same rate for the cost of one hotdog ,
kipiarov [429]
70. 2.50 times 70 would equal 175.
6 0
3 years ago
Please help me out
Blizzard [7]

Answer:

1 -5

don't know the answer of q2 and q3

3 0
2 years ago
Kelsey bought a circular rug that is 10 feet in diameter. The rug has a blue border and a red circular center that is 8 feet in
Soloha48 [4]

the blue rug is 2 feet in diameter because you specifically said all together it was 10 and they say the red rug is 8 feet which means you have to do 10-8=2


Hope this helps!!! Can u rate me brainiest and thank me

5 0
2 years ago
Read 2 more answers
How many solutions does the following equation have ? 12x+18=-3(-4x-6)
butalik [34]

(−∞,∞) infinite solutions

6 0
3 years ago
Other questions:
  • Consider the equation 2x-3(2x-1)=3-4x. solve the equation for x. for each step, identity the property used to write an equivalen
    13·1 answer
  • for Carolina's birthday her mom took her and her for friends to the water park Carolina's mom paid $40 for 5 student tickets. wh
    11·2 answers
  • -4x + (-2) = 3x + (-5)
    11·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
    8·1 answer
  • A rope is swinging in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and th
    11·2 answers
  • Complete the equations with powers of 101010. 720{,}800 \div {}720,800÷720, comma, 800, divided by =7.208=7.208equals, 7, point,
    6·1 answer
  • Help me plz pt2 sorry its the clearest pic I can get
    10·1 answer
  • Can someone give me 2 coordinates for this equation? thank you
    13·1 answer
  • 7-5=2 so what is 7-2=? , free
    13·1 answer
  • With her new trainer, Judy now bikes at an average speed of 24.1 MPH. That is 20.5% faster than she averaged with her old traine
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!