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
I need help with this
Debora [2.8K]
C because if you look at the intercept it’s a y and the y inception is equivalent to 4 so y=4x-14
5 0
3 years ago
Tìm kiếm x y z<br> x-1/y =1<br> y-1/z =1<br> z-1/x =1
const2013 [10]

<em>y</em> - 1/<em>z</em> = 1   ==>   <em>y</em> = 1 + 1/<em>z</em>

<em>z</em> - 1/<em>x</em> = 1   ==>   <em>z</em> = 1 + 1/<em>x</em>

==>   <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)

<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1

==>   2<em>x</em> ² - 1 = 2<em>x</em> + 1

==>   2<em>x</em> ² - 2<em>x</em> - 2 = 0

==>   <em>x</em> ² - <em>x</em> - 1 = 0

==>   <em>x</em> = (1 ± √5)/2

If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.

3 0
3 years ago
Find the value of 7!?
Schach [20]
The question isn’t clear, post the question so I could help :) !
5 0
3 years ago
Read 2 more answers
Can anyone solve this ASAP WORTH 100 points.
yKpoI14uk [10]

Answer:

yea i can help

Step-by-step explanation:

7 0
2 years ago
A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the
Ira Lisetskai [31]

Answer:00-99

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which system of equations has the same solution as the system below? 2x+2y=16 and 3x-y=4
    11·1 answer
  • the diagram shows a sector of a circle with centre o. the radius of the circle is 8 cm. the point p on oa is such that 2op=3qr a
    6·1 answer
  • A(3,5), B(5,-5), C(3,-5).
    10·1 answer
  • On a sunny day, a 4-foot red kangaroo casts a shadow that is 9 feet long. The shadow of a nearby eucalyptus tree is 36 feet long
    11·1 answer
  • If a gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners
    10·1 answer
  • A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that s
    13·1 answer
  • Simplify -3 p3 + 5 p + (-2 p2 ) + (-4) - 12 p + 5 - (-8 p3 ). Select the answer in descending powers of p . 1 - 7 p - 2 p2 + 5 p
    5·1 answer
  • Can anyone help me with this??
    9·1 answer
  • Which of the following statements describe the path of the baseball? Select all that apply
    9·1 answer
  • PLEASE HELP ME WITH THIS QUESTION PLEASE
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!