The picture in the attached figure
we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA. CS / CB = CR / CA
which can also be written as,
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25
the answer is x=3.25
Answer:
Step-by-step explanation:
The following is the logarithm quotient rule:

Plugging in the values we have above gives us the following:



The rules for linear transformations are that
g(x) = a·f(b·(x-c)) +d
stretches the graph vertically by a factor of "a" (before the shift)
compresses the graph horizontally by a factor of "b" (before the shift)
shifts it to the right by amount "c"
shifts it up by amount "d".
Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.
The appropriate choice of description is ...
b) the graph of g(x) is horizontally stretched by a factor of 3
Answer: Both students are correct.
Explanation:
In rotation a shape is rotated about a fixed point and it does not affect its measurements. it only changes its position.
Now, When Marcus rotated the
about point S then this process did not affect its shape and size this is why he got the
which is congruent to the
.
In reflection, when a shape reflected across a line then its all points get reflected across this line. But it also does not affect the measurement of the shape.
So, when Sam mapped
by the reflection of
then the measurement of the
did not change. And, he also got the congruent triangle.
Thus, we can say that, Both Marcus and Sam are right.