1. Look at the figure. Which construction is illustrated?
1 answer:
The construction illustrated in the figure is that of a line parallel to through point N.
Given: Figure containing illustration of the construction
To find: The construction illustrated in the figure
It can be seen that the figure contains a straight line passing through H and J, a straight line passing through H and N, and a straight line passing through N which seems to be parallel to .
The figure also contains arcs made by a compass that measures the angle between and
. These arcs have been replicated at the point N on the straight line
.
This implies that the straight line through N has been constructed in such a way, so that the angle between that straight line and is equal to the angle between
and
. This makes these angles, corresponding angles and
as the transversal. Thus, the new straight line is constructed parallel to
.
A strong counterargument that this illustration is not that of a line perpendicular to through point N is that the figure does not contain any straight line perpendicular to
.
Thus, the construction illustrated in the figure is that of a line parallel to through the point N.
Learn more about construction of parallel lines here:
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Answer:
d.
Step-by-step explanation:
The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.
becomes, after following the power rule:
x ln(2) = (x + 1) ln(3). We will distribute on the right side to get
x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:
x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:
x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:
. We can factor out the ln from the left to simplify a bit:
. Divide both sides by ln(2/3) to get the x all alone:
On your calculator, you will find that this is approximately -2.709
Answer:
The rate of the fruit is 5 apples to 2 oranges.
Step-by-step explanation:
The rate of the fruit is the ratio of apples to oranges. That is, the number of apples divided by the number of oranges into its simplest fraction form:
The rate of the fruit is 5 apples to 2 oranges.