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ipn [44]
3 years ago
5

If the exterior angle of a triangle is 120 degree and its interior opposite angles are (15x+5) and (22x+4), Find the value of x

Mathematics
1 answer:
slava [35]3 years ago
7 0
The exterior angle is equal to the sum of opposite interior angles, so ...
  (15x+5) + (22x+4) = 120
  37x +9 = 120
  x = (120 -9)/37 = 3

The value of x is 3.
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John went on a bike ride to the store 4 miles away. If it took John 3/10 of an hour to get there and 1/2 of an hour to get back,
stiv31 [10]

The round trip was 8 miles ( 4 + 4 = 8)

The total time for the trip is 3/10 + 1/2

Rewrite 1/2 as 5/10

Now add 3/10 + 5/10 = 8/10 = 4/5 hour for the 8 mile trip.

Now to find miles per hour, divide total miles by total time:

8 miles / 4/5 hour

When you divide by a fraction flip the fraction over and multiply:

8 x 5/4 = 40/4 = 10

The average rate was 10 miles per hour.

8 0
3 years ago
Based on the graphs, which statement is true?<br> PLEASE HELPP<br> 15 points:/!?!
Serjik [45]

Answer:

I think b

Step-by-step explanation:

5 0
3 years ago
Why is the answer for letter b 9?
gulaghasi [49]

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).

Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.

For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.

7 0
3 years ago
Read 2 more answers
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-Dominant- [34]
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Kruka [31]
It would take the faucet 18 hours to fill the tank because 18/12=1.5.  That means it will be 1.5 times slower to fill the tank up with the hose on.  1.5*12=18.
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3 years ago
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