Width =3.5, length = 4
Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl
Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w
0 = 2w^2 - 3w - 14
which factors into
(2w - 7) (w + 2)
Solving for w
2w - 7 = 0
2w = 7
w = 3.5
w+2 = 0
w = -2
So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5
Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14
So the width is 3.5 and the length is 4.
The number of pages which Claire should read each day to finish the 35 pages in 6 days is; 5.833 pages per day.
<h3>How many pages should Claire read per day?</h3>
It follows from the task content that the number of pages which Claire should read per day in a bid to finish all 35 pages in 6 days be determined.
Since the given condition is such that; Claire reads an equal number of pages on each of the next six days.
It follows that the number of pages to be read each day is given by;
35 / 6
= 5.833 pages per day.
Ultimately, the number of pages Claire should read per day over the next 6 days is; 5.833 pages per day.
Read more on division;
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The angles of a triangle will always add up to be 180 degrees total.
x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12
Answer: x = -12
Answer:
x = 6
Step-by-step explanation:
∠ DBC + ∠ ABC = ∠ ABD , substitute values
5x - 4 + 8x - 3 = 79
13x + 1 = 79 ( subtract 1 from both sides )
13x = 78 ( divide both sides by 13 )
x = 6