The two equations are

and

the first equation can be solved for x to be

next you can substitute x in the second equation

Distribute 4 to everything in the parentheses

combine like terms:

subtract 28 from both sides of the equation

divide both sides by -1.5

plug this in to the original equation of x+y=7

subtract 4 from both sides.

Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
Answer:
x=11
Step-by-step explanation:
3x+28+5x+52+12=180
8x+92=180
-92 on both sides
8x=88
/8 on both sides
x=11
Answer:
The measure of ∠z = 137°
Step-by-step explanation:
Here, angle 1 = 43°
To find : ∠z
Straight line Angle: The angle which measures exactly 180° and is extended by a point on a straight line is called straight angle.
According to the given figure:
∠1 + ∠z = 180 ° (STRAIGHT LINE ANGLE)
or, ∠z = 180 ° - 43° = 137°
Hence, the measure of ∠z = 137°.
Answer:
Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.
If this was confusing, I am happy to help further!
<h3>The distance between the points (2,3) and (5,5) is 3.6 units</h3>
<em><u>Solution:</u></em>
<em><u>Distance between two points is given by:</u></em>

We have to find the distance in the standard (x, y) coordinate plane between the points (2,3) and (5,5)
From given,

Substituting the values we get,

Thus distance between the points (2,3) and (5,5) is 3.6 units