Answer:
Transformation include reflecting and dilating of points
The scale factor from PQR to P'Q'R' is 1/4
The coordinates of P"Q"R" are P"=(-1,0) Q"=(0,-1) R"=(2,-1) .
PQR and P′'Q′'R′' are not congruent
The points are given as:
p=(4,0)
q=(0,-4)
r=(-8,-4)
p'=(1,0)
q'=(0-1)
r'=(-2,-1)
(a)The scale factor from PQR to P'Q'R
To do this, we make use of corresponding sides QR and Q'R
So, the scale factor (k) is:
k=q'r'/qr
k=2/8
k=1/4
(b) The coordinates of P"Q"R from reflecting P'Q'R' about the y-axis
The rule of this transformation is:
(x,y)--------(-x,y)
So, we have:
p"=(-1,0)
q"=(0,-1)
r"=(2,-1)
(c) Are triangle PQR and P"Q'R" congruent?
No they are not
This is so because
PQR was dilated by 1/4 to get P'Q'R
P'Q'R' and P"Q"R" are congruent
Hence, PQR and P′'Q′'R′' are not congruent
Step-by-step explanation:
No solutions you cancel out the ax’s
So all you have to do is multiply 400 times 400 which is 160,000 and divide 169,000 to 2 which is 80,000
The best way to compare fractions would be to make them have like
denominators. We first , in this case, need to convert from decimal to
fraction.
Converting decimals to fractions first requires an
understanding of the decimal places that fall after the decimal. One
place after the decimal is the tenths place. If you have a decimal that
ends at one place after the decimal (or in the tenths place) it can be
written as the number after the decimal in the top of the fraction and
ten (tenths place) in the denominator. ex. .5 ends one place after
the decimal and can be written as 5/10...(read as five tenths).
If a decimal ends at two places after the decimal...(ex. .75)...it
ends in the hundredths place, can be written as that number in the
numerator and 100 in the denominator....(ex 75/100) and is read as
seventy-five hundredths.
one place after the decimal is tenths (over 10), two places is
hundredths (over 100), three places is thousandths (over 1000) , four
places ten-thousandths (over 10000) and so on.
Because each decimal in your problem has a different amount of
decimal places, it makes for different denominators. But, We can add a
zero to the end of a decimal without changing it's value; if we add a
zero to the end of .5 and make it .50 , we then can write it as 50/100
and would now have like denominators.
if .5 = .50 = 50/100 and .75 = 75/100
we now have the question what fractions can fall between 50/100 and 75/100.
That would be fractions such as 51/100, 52/100, 53/100.......74/100.
100.47 because: 33.3+1.4 =34.7
785+1=786
34.7log(786)=100.47
