Question

Please help will give BRAINLIEST.
Triangle RST is similar to
triangle RVW.
What is the value of din millimeters?
A)
27 mm
B)
12 mm
C)
9 mm
D)
13 mm

Answer 1

Answer: B) 12

Step-by-step explanation: In order to solve this you have to know the scale factor between the two triangles. In order to do that you just need to take a similar side between the two triangles and divide them. For example:

10 / 15 = .6666

This is RW divided by RT

Now that you have the scale factor, you just need to multiply it by 18 to get WV.

18 x .666666 = 12

Answer 2

The value of d in millimeters is 12 mm and this can be determined by using the similar triangle property.

Given :

• Triangle RST is similar to  triangle RVW.
• The length of the segment RW = 10 mm
• The length of the segment WT = 5 mm
• The length of the segment TS = 18 mm

The following steps can be used in order to determine the value of d in millimeters:

Step 1 - The similar triangle property can be used in order to determine the value of d in millimeters.

Step 2 - Apply the similar triangle property on the triangle RST and triangle RVW.

$\rm \dfrac{RW}{WV}=\dfrac{RT}{TS}$

Step 3 - Substitute the values of the known terms in the above expression.

$\rm \dfrac{10}{d}=\dfrac{15}{18}$

Step 4 - Simplify the above expression.

$\rm d = \dfrac{10}{15}\times 18$

d = 12 mm

For more information, refer to the link given below:

https://brainly.com/question/25277954