The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20

=
12
16

x20=1216
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.
The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20

=
12
16

x20=1216
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.

see the explanation in the procedure

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem the two triangles are similar

Part a) Find x using the ratio of the sides 12 cm and 16 cm

we know that

The sides 12 cm and 16 cm are corresponding sides

The sides x cm and 20 cm are corresponding sides

so

---> because the ratio of the corresponding sides is proportional

solve for x

Part b) Find x using the ratio of the sides 6 cm and 8 cm

we know that

The sides 6 cm and 8 cm are corresponding sides

The sides x cm and 20 cm are corresponding sides

so

---> because the ratio of the corresponding sides is proportional

solve for x

The answers to (a) and (b) are the same, because the triangles are similar and remember that in similar triangles the ratio of the corresponding sides is proportional

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: