Answer:
b = 55 degrees
Step-by-step explanation:
The angles 30, a, b and 45 must sum up to 180 degrees
Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.
But b = a + 5. Substituting a + 5 in the equation above yields
a + a + 5 = 105 degrees, so that
2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.
Answer
19
Step-by-step explanation:
For this example, R = Richard and L = Lilia. You'll need to set up a system of equations with the information that the problem gives you.
R = L + 7
(R+10) + (L+10) = 51
Use the substitution method so that you only have one variable in the equation. The first equation tells you that R is the same as L+7, so put L+7 instead of R everywhere you see R in the second equation.
[(L+7) + 10) + (L+10) = 51
L + 7 + 10 + L + 10 = 51
Combine like terms.
2L + 27 = 51
Isolate the variable by subtracting first, then dividing.
2L + 27 - 27 = 51 - 27
2L = 24
2L/2 = 24/2
L = 12
You just solved for L (Lilia's age). Don't forget that you're trying to find R (Richard's age), so plug your L number into the first equation.
R = L + 7
R = 12 + 7
R = 19
Check your answer by plugging your solutions (R and L) into the second equation and see if it's true.
(R+10) + (L+10) = 51
(19+10) + (12+10) = 51
29 + 22 = 51
51 = 51 is true.
The answer is 1 out of 10 (1/10)
Answer:
3.45 hr
Step-by-step explanation:
Convert speed from km/hr to m/hr
Speed = 110km/hr = 110 x 1000 m/hr = 110000 m/hr
Use equation of speed. Speed = distance / time, hence time = distance / speed
t = d/v
t = 380000 / 110000
= 3.45 hr
