Answer:
4 hours
Step-by-step explanation:
Let the number of hours = x.
Jay reads 55 pages per hour, so in x hours, he reads 55x pages.
After reading for x hours, he has 278 - 55x pages left to read.
Odhran reads 45 pages per hour, so in x hours, he reads 45x pages.
After reading for x hours, he has 238 - 45x pages left to read.
Since we want to know when they have the same number of pages left, we set the expressions equal and solve for x.
278 - 55x = 238 - 45x
Add 45x to both sides.
278 - 10x = 238
Subtract 278 from both sides.
-10x = -40
Divide both sides by -10.
x = 4
Answer: 4 hours
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
We conclude that the measure of that angle is 150 degrees.
<h3>
How to get the measure of angle BFE?</h3>
Notice that the measure of angle ∠BFE will be equal to:
∠BFE = ∠BFC + ∠CFD + ∠DFE
Where:
∠CFD = 90°
∠DFE = 30°
And we will have that:
∠AFC = 180° - 90° - 30° = 60°
And we know that BF bisects that angle, then:
∠BFC = 30°
So we conclude that:
∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°
We conclude that the measure of that angle is 150 degrees.
If you want to learn more about angles:
brainly.com/question/17972372
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