Answer:
3/x = 5/15
Cross-multiply.
3(15) = 5x
Multiply.
45 = 5x
Divide.
45/5 = 5x/5
Simplify.
9 = x
x = 9
7/y = 5/15
7(15) = 5y
105 = 5y
105/5 = 5y (I believe that the module has an error it should be 105 not 75 even if you check the calculator 7 x 15 = 105)
21 = y
3/x = 7/y = 5/?
Substitute x as 9 and y as 21.
3/9 = 7/21 = 5/?
1/3 = 1/3 = 5/?
So to make the equation true, look at the triangles AB/DE = BC/EF = AC/DF, substitute each angle with their corresponding units.
3/9 = 7/21 = 5/15, (AB = 3, DE = 9, BC = 7, EF = 21, AC = 5, DF = 15)
1/3 = 1/3 = 1/3
≈ TRUE
Hope it helps. ^^ (If it's confusing don't be shy to ask me since it's Math, Math is sometimes confusing lul.)
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
3/x = 5/15
Cross-multiply.
3(15) = 5x
Multiply.
45 = 5x
Divide.
45/5 = 5x/5
Simplify.
9 = x
x = 9
7/y = 5/15
Cross-multiply.
7(15) = 5y
Multiply.
105 = 5y
Divide.
105/5 = 5y (I believe that the module has an error it should be 105 not 75 even if you check the calculator 7 x 15 = 105)
Simplify.
21 = y
3/x = 7/y = 5/?
Substitute x as 9 and y as 21.
3/9 = 7/21 = 5/?
Simplify.
1/3 = 1/3 = 5/?
So to make the equation true, look at the triangles AB/DE = BC/EF = AC/DF, substitute each angle with their corresponding units.
3/9 = 7/21 = 5/15, (AB = 3, DE = 9, BC = 7, EF = 21, AC = 5, DF = 15)
Simplify.
1/3 = 1/3 = 1/3
≈ TRUE
Hope it helps. ^^ (If it's confusing don't be shy to ask me since it's Math, Math is sometimes confusing lul.)