B = block p = park
2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes
To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.
2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p
2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22
10 + 3p = 22 ----------→ 2p = 12
2p = 12 -------------→ p = 6
It takes 6 minutes to jog around the park
Hope this helps!
Let the measure of the second angle be x.
The first angle has measure 3x - 34.
The sum of the measures is 180.
x + 3x - 34 = 180
4x - 34 = 180
4x = 214
x = 53.5
The second angle has measure 53.5 deg.
3x - 34 = 3 * 53.5 - 34 = 160.5 - 34 = 126.5
The measure of the first angle is 126.5 deg.
Answer: The measures are 126.5 deg and 53.5 deg.
Answer:
Given the expression: log 2 -log 6
Use the logarithmic rule :
Use the above rule to solve the expression:
[∴ ]
or
[∴ ]
or
value of : log 2 -log 6 = 0.30102999566 - 0.77815125038 = -0.47712125472
The second answer is the correct answer