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mote1985 [20]
3 years ago
12

6) If the perimeter of the equilateral triangle ABC is x inches. The mid points of the sides are joined to form the smaller tria

ngle and
the process goes on as in the diagram. If the perimeter of the 6th triangle is 3 inches, find the value of x.

​

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

96 in

Step-by-step explanation:

If the midpoints of the sides are joined to form the smaller triangle, then the perimeter of the smaller triangle is half the perimeter of the greater triangle, because the sides of the smaller triangle are midlines of the greater triangle. By the triangle's midline theorem, each triangle's midline is half the side to which this midline is parallel.

So, if the perimeter of 6th triangle is 3 inches, then the perimeter of 5th triangle is 6 inches, the perimeter of 4th triangle is 12 inches, the perimeter of 3rd triangle is 24 in, the perimeter of 2nd triangle is 48 in and the perimeter of the initial triangle is 96 in

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Mila [183]
200 hope it helps you
7 0
3 years ago
3 angles<br> triangle<br> in<br> ratio 1:3:3<br> 3:.<br> Find the angles
DochEvi [55]

Answer:

1st angle = 30

2nd angle = 60

3rd angle = 90

Step-by-step explanation:

  1. let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3x
  2. x+2x +3x =180
  3. 6X =180
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5 0
3 years ago
A camp counselor starts from home and drives to a campground. The expression 130−60t represents the distance, in miles, the coun
telo118 [61]

Answer:

<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>

Step-by-step explanation:

<u>Linear Function</u>

The linear relationship between two variables d and t can be written in the form

d=mt+b

Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis

The function provided in our problem is

d=130-60t

Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:

d=-60t+130

Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases

4 0
3 years ago
If mike read 30 pages an hour how long will it take him to read 1225 pages
Gnesinka [82]

Answer: 2450 min or 40hr and 50 min

Step-by-step explanation:

We can use a proportion to set up this equation.

\frac{30 pages}{60 min} =\frac{1225 pages}{x min}

We cross muliply so get our equation.

30x=1225(60)\\

30x=73500

x=2450 min

It took Mike 2450 min to read 1225 pages. We can also use a proportion to write this in hours

\frac{60min}{1hr} =\frac{2450min}{x }

60x=2450

x=40 hr 50 min

5 0
3 years ago
Harry started a new job in 2003. His salary was $31,000. At the beginning of the next year he will receive a raise of $1500. Ass
Anton [14]

Answer:

Step-by-step explanation:

a)

S=31000+1500Y  

Where S is salary and Y is # of years  

b)  

 

Salary in 5 years;  

=31000+1500(5)  

=31000+7500  

=38500  

6 0
3 years ago
Read 2 more answers
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