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vlabodo [156]
3 years ago
10

A new bridge structure 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.
A. 7 ft
B. 30 ft
C. 60 ft
D. 90 ft

Mathematics
2 answers:
lilavasa [31]3 years ago
7 0

Answer:

60ft

Step-by-step explanation:

Montano1993 [528]3 years ago
5 0

Answer:

C. 60 ft

Step-by-step explanation:

If triangles ABC and EDC are in a 1:1 relation, they are congruent, and  

    AC = EC

5x - 5 = 3x + 9

    5x = 3x + 14

    2x = 14

      x = 7

AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft

EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft

Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft

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I'm not sure what this means, please help me I'll give you 10 points ;)
Karo-lina-s [1.5K]

<u>Answer:</u>

So all the possible solutions are:

  • \bold{523,~400,~379~and,~378.6}

<u />

<u>Solution Steps:</u>

<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>

<u>Add 78 to both sides:</u>

  • <u />78+78= Cancels Out
  • 300+78=378

<em>So now we know the real answer, but it ask for all possible answers. </em>

(Means anything larger than 300 when you plug it into x - 78 > 300.)

<u>Numbers that are greater than 378:</u>

  1.)  377-78=299 > 300  (False)

  2.)  523-78=445>300  (True)

  3.)  0-78=-78>300  (False)

  4.)  -62-78=-140>300  (False)

  5.)  400-78=322>300  (True)

  6.)  379-78=301>300  (True)

  7.)  222-78=144>300  (False)

  8.)  378.6-78=300.6>300 (True)

______________________________

 \bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}

5 0
3 years ago
There are 75 boys in the sixth grade. The ratio of girls to boys is 7 to 5. How many girls are there in sixth grade?
kolbaska11 [484]
There are 105 in 6th grade because there are 75 boys right? So it said the ratio of girls is 7 and the ratio of boys is 5 so I divided 75 to 5 = 15 and I multiply 7 to 15 and got 105 girls.
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3 years ago
1,236,840 in scientific notation.
Leni [432]
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DENIUS [597]

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

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2 years ago
The formula for finding the number of bacteria present is given by P=P0(10)t where P is the final population, P0 is the initial
frozen [14]

Answer:

5.45 hours.

Step-by-step explanation:

The formula =

P = P0(10)t

In this circumstance, P0 = 275, P = 15,000 and t = ?

Applying the values into the formula:

P = P0(10)t

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