Answer:
y = 3/2x by making use of angle relationships in triangles
Step-by-step explanation:
Here's one way to solve it.
∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:
∠ADE = 2x° +y°
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If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:
∠AGE = ∠GAD +∠GDA
3y° = x° +(2x° +y°)
2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °
y = (3/2)x . . . . . . . . divide by 2
Answer:
<em>Farmer Bill sold 120 lb of potatoes</em>
Step-by-step explanation:
Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.
Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:
This is the remaining portion of the potatoes.
Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:
Thus:
x = 120 lb
Farmer Bill sold 120 lb of potatoes
The Y-Axis is higher on the "+4" equation, so the parabola will look taller.
For solving of the area of a square pyramid, we can use the formula below:
A=a²+2a sqrt (a²/4 +h²)
where s for the slant height, r for the a/2, where a is the side length and h for the height
Substitute the values,
A=40²+(2*40) SQRT (40²/4 +21²)
A=3920
The answer is 3920 for the area of the square pyramid.
The answer to this would be 0.381. Rounded to the nearest thousandth.
