Answer:
m∠TUV = 105
Step-by-step explanation:
From the question given above, the following data were obtained:
m∠TUN = 1 + 38x
m∠NUV = 66°
m∠TUV = 105x
m∠TUV =?
Next, we shall determine the value of x. This can be obtained as illustrated below:
m∠TUV = m∠TUN + m∠NUV
105x = (1 + 38x) + 66
105x = 1 + 38x + 66
Collect like terms
105x – 38x = 1 + 66
67x = 67
Divide both side by 67
x = 67 / 67
x = 1
Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:
m∠TUV = 105x
x = 1
m∠TUV = 105(1)
m∠TUV = 105
A: Universe (It surrounds everything) B: Galaxy (Smaller than the universe but larger than the rest) C: Solar System D: Mars
Cant help you for number 2 though. Hope this helps :)
Answer:
y = -x + 4
Step-by-step explanation:
(-1,5)...x1 = -1 and y1 = 5
(1,3)....x2 = 1 and y2 = 3
slope(m) = (y2 - y1) / (x2 - x1) = (3 - 5) / (1 - (-1) = -2 / (1 + 1) = -2/2 = -1
y = mx + b
slope(m) = -1
u can use either of ur points...I will use (1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = -1(1) + b
3 = -1 + b
3 + 1 = b
4 = b
ur equation is : y = -x + 4 <===
Answer:
10m/s,15m/s,20m/s,5m/s
Step-by-step explanation:
Speed = distance / time
a) distance = 100m , time = 10s
Speed = distance / time
Speed = 100m/10s
Speed = 10m/s
b) distance = 300m , time = 20s
Speed = distance / time
Speed = 300m/20s
Speed = 15m/s
c) distance = 700m , time = 35s
Speed = distance / time
Speed = 700m/35s
Speed = 20m/s
d) distance = 1000m , time = 200s
Speed = distance / time
Speed = 1000m/200s
Speed = 5m/s
I hope this was helpful, please rate as brainliest