Answer:
The largest side of given triangle is: AB
Step-by-step explanation:
In order to find the largest side, we have to find all the triangles first.
The two angles at point A will sum up to 180° as the angles on the straight line are supplementary.
So,
∠A = 44°
∠C = 71°
The sum of interior angles of a triangle is 180°
Using this:
∠A+∠B+∠C = 180°
44°+∠B+71° = 180°
∠B+115° = 180°
∠B = 180°-115°
∠B = 65°
In a triangle, the side opposite to the largest angle is the largest. In the given triangle, ∠C is the largest so the side AB which is opposite to ∠C is the largest.
Hence,
The largest side of given triangle is: AB
Answer: $9
Step-by-step explanation:
Let the cost for adults be a
Let the cost for students be b.
The first van transported 2 adults and 5 students and cost $77. This will be:
2a + 5b = $77
The second van transported 2 adults and 7 students and cost $95. This will be:
2a + 7b = $95
2a + 5b = 77 ...... equation i
2a + 7b = 95 ........ equation ii
Subtract equation ii from I
-2b = -18
b = 18/2
b = $9
An student cost $9
Put the value of b into equation i
2a + 5b = 77
2a + 5(9) = 77
2a + 45 = 77
2a = 77 - 45
2a = 32
a = 32/2
a = 16
An adult costs $16
Answer: I cant see the full question but I would say figure D
Step-by-step explanation:
30/20 in half is 15/10
also between 12/8 and 18/12 is 15/10
Step-by-step explanation:
Let's make the number we're finding to be 
. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be 
. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be 
. Since they are the same, we have the equation below.
All we have to do now is to find .
<h3>Answer:</h3>
Our number must be 
. I think
