110 = 5x + 3y (yet x + y = 30)
Therefore the only explanation would 10 kids bought lunch and 20 packed because....
10 + 20 = 30 AND 5 * 10 = 50 3 * 20 = 60 60 + 50 = 110
Given:
QSR is a right triangle.
QT = 10
TR = 4
To find:
The value of q.
Solution:
Hypotenuse of QSR = QT + TR
= 10 + 4
= 14
Geometric mean of similar right triangle formula:


Do cross multiplication.


Switch the sides.

Taking square root on both sides.

The value of q is
.
Answer: x= 19
Step-by-step explanation:
RS =~ ST presumably reads segment RS is congruent to segment ST, i.e. the same length.
Then the triangle is isosceles, and angle SRT = angle STR. Angle STU = 180-angle STR.
SRT = 3x - 48, STU = 9x, so STR = 180-9x
SRT = STR
3x - 48 = 180 - 9x
3x + 9x = 180 + 48
12x = 228
x = 19
So if 29 students rode in cars, we can subtract 29 from 237 because we don't need to know about the people in the cars, which means that 208 students rode on buses. If there were 8 buses, the we need to divide 208 by 8 which makes 26 students per bus.
I hope this helps!