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​Triangles ABC​ and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?


a 15/7=5/DG

b DG/15=5/7

c 5/7=15/DG

d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.

Triangles ABC and DFG are similar Which proportion can be used to find the value of DG a 1575DG b DG1557 c 5715DG d 5DG156 Two triangles A B C and D F G A B is class=

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Umbreon33

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

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