Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer:
C) 0.179
Step-by-step explanation:
Since the trials are independent, this is a binomial distribution:
<u>Recall:</u>
- Binomial Distribution -->
denotes the probability of
successes in
independent trials
denotes the probability of success on each of
trials
denotes the probability of failure on the remaining
trials
denotes all possible ways to choose
things out of
things
<u>Given:</u>
<u>Calculate:</u>
Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179
Answer:
6 times
Step-by-step explanation:
1. There was no cents left
2. If you roll one and get 50 cents you have to minus it with rolling other number than 'one' 5 times because you'll get 10 minus if you roll another number (50 divided by 10 is 5)
3. If you divid 30 (The rolls) by 5 (amount of roll you have to roll if you get one)
4. It equals 6 and 6 is a even number
5. Sorry this was too confusing
He would have to go up 18 meters and the integer would be -18 since he is going below sea level.
<span>∠ABC ≅ ∠DEF - given
</span><span>∠GHI ≅ ∠DEF - given
</span>∠DEF ≅ ∠GHI - <span>symmetric property
</span>∠ABC ≅<span> ∠GHI - </span><span>transitive property
</span><span>m∠ABC = m∠GHI - </span><span>definition of ≅ angles</span>