Answer:
x : -3
Step-by-step explanation:
1) 15x-3(3x + 4) = 6 (distribute -3 to the numbers on the inside of parentheses)
2) 15x - 9x - 12 =6 (combine like terms 15x-9x = 6x)
3) -6x - 12 = 6 (add twelve to both sides, add the 12 to cancel out the 12)
4) -6x = 18 (divide the -6 on both sides)
5) x = -3
Answer:
It can cover a distance of 100m.
Step-by-step explanation:
Given that:
Speed = v = 10m/s
Time = t = 10s
We know that:
Distance = Speed * Time
d = v*t
d = (10m/s)*(10s)
d = 100m
Answer:
1: D. 1/336
Explanation:
10 x 9 x 8 = 720
There are 720 ways for them to come in first, second and third place.
2. Probability = 1/8 x 1/7 x 1/6 = 1/336
The probability is 1/336 or 0.002976.
Answer:
Line QR = line BC
Step-by-step explanation:
To prove congruency using the SAS theorem, (SAS = Side Angle Side)
You obviously need 2 sides and 1 angle.
BUT
The ONE angle has to be right between the TWO sides, hence the name: side ANGLE side.
So coming to your problem:
We know angle Q = angle B. And QS=BD
We need one more SIDE. Pick side QR in triangle RQS. Is angle Q in the middle of QR and QS?
Yes it is!
Now find the corresponding side in the other triangle to QR. This is the shortest side, BC.
Check:
Is angle B in the middle of CB and BD?
Yes!!
So you can prove the congruency of these two triangle using the SAS theorem if you know that BC = QR. That’s your answer.
Hope this helped!!!!!
PS let me know if it’s correct!
