Question

4. Find the missing Stue

СІ
11
Scale Factor
te
9
3
B
530
СІ
4
P
P=
te
Q
820
Q=

Answer 1

To find the missing scale factor, set up a proportion and solve for the unknown.

Step-by-step explanation:

To find the missing scale factor, we can use the given proportion between the scale factor and the scale measurement. Let's say the missing scale factor is x. We can write the proportion as: 1/4":4' = 8":x

Using cross multiplication, we have: (1/4") * x = (4') * 8"

Simplifying the equation, we get: x = (4') * 8" / (1/4")

Therefore, the missing scale factor is x = 4' * 8" / (1/4").

Answer 2

The missing value (Stue) in the given context is 390.

Step-by-step explanation:

To determine the missing value (Stue), we can utilize the concept of scale factor in a proportionate relationship. In the provided scenario, there are two similar triangles, represented by the pairs of corresponding sides: CP and CQ. The scale factor (ratio of corresponding sides) is given as 11:9.

Using the scale factor, we can set up a proportion:

`\((CP)/(CQ) = (Stue)/(820) \)`, where CP corresponds to 11 and CQ corresponds to 9.

Solving for Stue:

`\(Stue = (CP * 820)/(CQ) = (11 * 820)/(9) = 390\).`

Therefore, the missing value (Stue) is 390, maintaining the proportional relationship between the sides of the two triangles.

Understanding and applying the principles of scale factor and proportions are essential tools in solving geometric problems involving similar figures. These concepts allow us to find missing values and establish relationships between different parts of geometric shapes.