What are the excluded values for m+4m+2=8m+2?
1 answer:
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Answer:
Part 8) The triangles are not similar (see the explanation)
Part 12) The triangles are not similar (see the explanation)
Part 14) The area is increased by 125%
Part 15)
Step-by-step explanation:
Part 8) we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
<em>Find the value of x in the larger triangle</em>
The sum of the interior angles in any triangle must be equal to 180 degrees
so
<em>Find the value of y in the smaller triangle</em>
The sum of the interior angles in any triangle must be equal to 180 degrees
so
so
The corresponding angles of both triangles are not congruent
therefore
The triangles are not similar
Part 12) we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The measure of the interior angles of the triangle of the left are
88°
29° ----> by vertical angles
and
180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees
The measure of the interior angles of the triangle of the right are
180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees
29°
and
180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees
so
The corresponding angles of both triangles are not congruent
therefore
The triangles are not similar
Part 14) we know that
If two figures are similar then the ratio of its areas is equal to the scale factor squared
In this problem the scale factor is 1.5
Because
100%+50%=150%=150/100=1.5
The scale factor squared is
That means that the new area is 2.25 times the original area
The area is increased by 125%
Part 15)
Let
h ----> the height of the pine
we know that
The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow
using proportion
solve for h
Answer:
Photo.
Step-by-step explanation:
A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2
B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.
