I am not 100% positive but from what I remember learning I think the answer you are looking for on the first question is C.
m < DAB + m < ADC = 180 (because ABCD is a parallelogram)
so m < ADC = 180 -112 = 68 degrees
Therefore m < ADB = 68 - 27 = 41 degrees (answer)
Answer:
(3,11) or (7,11)
Step-by-step explanation:
A function cannot have the same second number repeated ( forgot the term for the second number) so removing either (3,11) or (7,11) would leave it being a function
A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Step-by-step explanation:
Step 1:
Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.
It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;
=
, cross multiplying, we get
, take this as equation 1.
Step 2:
It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So
, take this as equation 2.
If we solve equations 1 and 2, we will get the values of x and y.
Step 3;
Substitute equation 2 in equation 1.
,
,
.
Substitute
in equation 2.
.
So x = 168 and y = 60.
So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.