Answer:
= 3b/4
Step-by-step explanation:
= b . 4/12 + b . 3/12 + b . 2/12
Apply the fraction rule: a/c + b/c = a + b/c
= b . 4 + b . 3 + b . 2/12
= 4b + 3b + 2b/12
Add similar elements: 4b + 3b + 2b = 9b
= 9b/12
Cancel 9b/12: 3b/4
= 3b/4
Shouldn’t it be zero correct me if I’m wrong, because The sum of any integer and its opposite is equal to zero.
Answer:
Step-by-step explanation:
180 = 7x +2 + 7x + 2 + 180 - (17x -23)
180 = 14x +4 + 180 -17x +23
180 = -3x +207
3x = 27
x = 9
Answer:
4.5 km
10.3 km
Step-by-step explanation:
The shortest distance from gymnasium to library:
Each square box representing 1 unit
1unit = 1 km
A.)
Distance, d ;
Using Pythagoras :
d = sqrt(2² + 4²)
d = sqrt(4 + 16)
d = sqrt(20)
d = 4.47
d = 4.50 (nearest tenth)
Shortest Distance from gymnasium to library
B.)
shortest distance from his house to the gymnasium, then the shortest distance to the library
House to gymnasium (d1) :
d1 = sqrt(3² + 5²)
d1 = sqrt(9 + 25)
d1 = sqrt(34)
d1 = 5.83
Gymnasium to Library (d2) :
d2 = sqrt(2² + 4²)
d2 = sqrt(4 + 16)
d2 = sqrt(20)
d2 = 4.47
Total distance = (d1 + d2) = (5.83 + 4.47) = 10.3km
Answer:
x = 50
Step-by-step explanation:
You are correct.
x + m<PQS + m<PSQ = 180
m<PQS = m<QRT = 70
m<QST + m<PSQ = 180
120 + m<PSQ = 180
m<PSQ = 60
x + 70 + 60 = 180
x + 130 = 180
x = 50
Great job!