Respuesta :
1. D
2. D
3. c
4. A
5. C
I'm not 100% sure about these. Just letting you know.
Similar triangles may or may not be congruent.
1. The length of RS
Since U and V are the midpoints, then:
[tex]\mathbf{RS = 12 + 12}[/tex]
[tex]\mathbf{RS = 24}[/tex]
Hence, the length of RS is (d) 24
2. The value of x
This is calculated as:
[tex]\mathbf{SV = VT}[/tex]
So, we have:
[tex]\mathbf{2x = 11}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 5.5}[/tex]
Hence, the value of x is (d) 5.5
3. The value of y
This is calculated as:
[tex]\mathbf{WT = WR}[/tex]
So, we have:
[tex]\mathbf{3y = 15.9}[/tex]
Divide both sides by 3
[tex]\mathbf{y = 5.3}[/tex]
Hence, the value of y is (d) 5.3
4. The value of UW
This is calculated as:
[tex]\mathbf{UW = 2x}[/tex]
So, we have:
[tex]\mathbf{UW = 2 \times 5.5}[/tex]
[tex]\mathbf{UW = 11}[/tex]
Hence, the value of UW is (a) 11
5. The value of UV
This is calculated as:
[tex]\mathbf{UV = RW}[/tex]
So, we have:
[tex]\mathbf{UV = 15.9}[/tex]
Hence, the value of UV is (c) 15.9
Read more about similar triangles at:
https://brainly.com/question/20502441