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Ksivusya [100]
3 years ago
11

If \triangle △RST is isosceles. find x then find m∠S.

Mathematics
2 answers:
rusak2 [61]3 years ago
3 0

Answer:

s=32

Step-by-step explanation:

15x-31 = 9x+11

6x=42

x=7

2(63+11)= 2(74)= 148

180-148=32

lubasha [3.4K]3 years ago
3 0

Step-by-step explanation:

The person below me is correct, I also did the calculations.

The answer is: s=32

15x-31 = 9x+11

6x=42

x=7

2(63+11)= 2(74)= 148

180-148=32

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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
Given: If Logan eats his vegetables, then he can have a bowl of ice cream.
Aneli [31]

Answer:

Logan ate his vegetables, so he can have a bowl of icecream.

5 0
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Find the length of the arc (AB) Leave your answer in terms of Pi
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The formula is L = 2 pi r * (angle measure / 360). We have everything we need to solve this, the angle is 90 and the radius is 12: L = 2 pi (12) (90/360). Do the work inside the parenthesis first to get : L = 2 pi (12)(.25). Solving for L: L = 6pi
4 0
3 years ago
In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota
aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times  man wins the games = x times

Number of times  man loses the games = y times

Total number of attempts = 20

Points after winning = 5

Points after loosing = 2

Now, according to the question:

       x  + y =20

and 5 x + 2 y = 67

Now, from (1) y = 20-x,     put in (2)

5x + 2y = 67       ⇒           5x + 2(20 -x)  = 67

or, 5x -2x = 67 - 40

or, 3x = 27

⇒ x = 27/3 = 9

then y = 20 - x = 20 - 9 = 11

⇒ x = 9 and y = 11 is the solution of the given system.

Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

3 0
3 years ago
Lin ran 29 meters in 10 seconds. she ran at a constant speed. At this rate, how far can she run in 1 minute
scoundrel [369]

Answer:

2.9 per second

Step-by-step explanation:

3 0
3 years ago
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