Answer:
y=12
x=48
Step-by-step explanation:
Relationship shows that
y=1/4x
if we put y=12 and x=48 it holds.
Answer:
Option 4: <u>(2x + 16)° + (x)° = 180°</u>
Step-by-step explanation:
See the attached figure.
For a quadrilateral inscribed in a circle
The opposite angles are supplementary.
So, ∠D + ∠B = 180°
From the figure:
∠B = x° and ∠D = (2x+16)°
∴ <u>(2x + 16)° + (x)° = 180°</u>
All exterior angles of a regular polygon would equal 360 degrees. SO... based on that, one exterior angle would have to multiplied by whatever sum (whole number) to equal 360 degrees to find the number of sides. Here you divide 360 by one of the exterior angles, if it does not equal a whole number then it would be inaccurate.
In this case only 54 degrees would not fit into one of the exterior angles.
Answer:
Speed of the slower plane = 320 mph
Speed of the faster plane = 450 mph
Step-by-step explanation:
Let the speed of the slower plane = x mph
And the speed of the faster plane = y mph
Difference in their speeds = 130 mph
y - x = 130 --------(1)
Formula for the distance traveled = Speed × time
Distance traveled by the faster plane in 5 hours = 5y miles
Distance traveled by the slower plane in 5 hours = 5x miles
Total distance traveled by both the planes in 5 hours = 5(x + y) miles
5(x + y) = 3850
x + y = 770 ---------(2)
By adding equations (1) and (2)
2y = 900
y = 450 mph
From equation (2)
x = 770 - 450
x = 320 mph
