Answer:
∠Q = 75°
Step-by-step explanation:
Start by recognizing that the triangle is isosceles (the long sides are marked as being equal-length). That means angles Q and R have the same measure.
Next, you use the fact that the sum of angles is 180° to write an equation.
∠R +∠P +∠Q = 180°
(2x +15)° +x° +(2x +15)° = 180° . . . . substitute the known values
5x +30 = 180 . . . . . . . . . . . . . . . . divide by °, collect terms
5x = 150 . . . . . . . . subtract 30
x = 30 . . . . . . . divide by 5
Then angle Q is ...
∠Q = (2x +15)° = (2×30 +15)°
∠Q = 75°
Answer: The correct answer is H.
Step-by-step explanation: The correct order of the weights from largest to smallest is shown in choice H. The correct order is 2.25, 2.234, 2.205.
Answer:
<u>112 children</u>
<u>180 adults</u>
Step-by-step explanation:
Let the number of adults = A
Let the number of children = C
A + C =292
4A + 1.5C = 888. solve for A, C
A = 292 - C
4[292 - C] + 1.5C = 888
1,168 - 4C + 1.5C = 888
-2.5C = - 280
C = -280 / -2.5
C = 112 - Number of children
292 - 112 = 180 - Number of adults