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
nignag [31]
2 years ago
7

Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge s

tructure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.

Mathematics
1 answer:
dexar [7]2 years ago
4 0

CHECK THE ATTACHED FIQURE FOR THE BRIDGE

Answer:

60 ft

Step-by-step explanation:

From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that

triangles ABC and EDC are congruent then we can say

side EC = side AC

3x + 9 = 5x - 5

Then we can simplify to know value of x

3x + 14= 5x

2x = 14

x = 7

But we know that AC= 5x - 5 , then substitute value of x into it

AC = 5x + 5 = 5(7) - 5

= 35 - 5

AC= 30 ft

Also EC= 3x + 9 then substitute value of x into it

EC = 3x + 9 = 3(7) + 9

= 21 + 9

EC= 30 ft

Then the the distance between the top and bottom of the bridge, in feet, = EC+AC

= 30 + 30 = 60 ft

You might be interested in
Help needed! no links please, they're annoying.
denis23 [38]
The area of a rectangle is length*width.

The length of this 3x and the width is 2x-3. This means that, to find the area, you need to multiply 3x and 2x-3.

Start by writing out this equation:
A=l*w

Then, plug in your given values:
A= 3x*2x-3 (you can also write it as A= 3*x*2*x-3)

Then, following the order of operations, you start by multiplying. This makes your equation become A = 6x^2 -3. (^2 means squared). It turns into this because 3 * 2 is 6 and x * x is x^2 and you still haven’t used the 3 yet.

After this, there is nothing more that you can do to simplify the equation. Therefore, the area is 6x^2 - 3.

I hope this helped!
4 0
3 years ago
A kintted pot holder is shaped like a circle. It's radius is 4.5 in. What is the area?
lesya [120]

Answer:

A =63.585 in^2

Step-by-step explanation:

The area of a circle is found by

A = pi r^2

A = pi (4.5)^2

A = pi(20.25)

We can approximate pi by 3.14

A = (3.14) (20.25)

A =63.585 in^2

8 0
3 years ago
Read 2 more answers
Tell me the correct anser
Tresset [83]

Answer:

D is the correct answer

4 0
3 years ago
Read 2 more answers
IM ASKING A QUESTION PLZ DON'T REPORT ME
victus00 [196]

Answer:im bored

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Derek established his own retirement account 10 years ago. He has discovered that he can obtain a better rate for the next 10 ye
Anni [7]

Answer:

brainly.com/question/10687203

Step-by-step explanation:


7 0
3 years ago
Other questions:
  • Write this number in word form 3,388,198
    5·2 answers
  • Which of the following statements are not proportional 4/6=9/12 2/3=12/18 5/4=10/8 7/5=36/25
    15·2 answers
  • What is the value of the expression 7−3 ?
    5·1 answer
  • Find the area of each circle. Use 3.14 forp<br> 12 cm,
    5·2 answers
  • Factorise -x^4 - (x-z)^4
    11·1 answer
  • Who ever gets this right will get a brainlest
    10·2 answers
  • Jake and his 3 friends shared 3 1/2 pizzas equally. Is it 4 divided by 3 1/2 or 3 1/2 divided by 4?
    15·1 answer
  • There are 32 marbles in a jar: 14 blue, 10 red, 5 green, and 3 yellow. Sally pulls one marble, randomly, from the jar. Without r
    10·2 answers
  • A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav
    8·1 answer
  • Please help will mark brainlest!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!