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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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Vladimir [108]

Answer:

a. -3.78x-0.84

Step-by-step explanation:

To simplify, combine like terms. Because you're just adding them you don't have to change any signs. Add/subtract the terms with an x, that will give you your first number, then add/subtract the terms without an x to get your second number.

5 0
2 years ago
The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc​
aleksandrvk [35]

Answer:

72

Step-by-step explanation:

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8 0
2 years ago
10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.
Katen [24]

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

A = \frac{p\cdot a}{2} (1)

Where:

A - Area of the regular polygon, in square inches.

p - Perimeter, in inches.

a - Apothem, in inches.

If we know that p = 162\,in and a = 97.8\,in, then the area of the regular nonagon is:

A = 7921.8\,in^{2}

The area of the regular nonagon is 7921.8 square inches.

8 0
2 years ago
Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst
BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment =  starting outstanding balance   +   0.625% of interest on  starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction  = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 ,  $937.5  goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

so correct option is B that is $149927.40.

8 0
3 years ago
!30 points! Which angle corresponds to angle N? (Photo attached)
aleksklad [387]

Answer:

The answer is D. "P". hope this helps you

4 0
2 years ago
Read 2 more answers
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