Which two lines must be parallel in the diagram?

Mathematics

1 answer:

djverab [1.8K]3 years ago

8 0

Answer: j || k

Step-by-step explanation:

only j and k are explicitly shown to be 90 degrees, so they must be parallel since they have the same angle when intersected by line <em>l.</em>

You might be interested in

The vertices of xyz are x (1,-4)

dexar [7]

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

∴ h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

∴ X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

∴ Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

∴ Z' = (-1, -2)

∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

∴ h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

∴ X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

∴ Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

∴ Z' = (8, -2)

∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

6 0

3 years ago

Six times a number is equal to 30.5 more than the number. Find the number

saul85 [17]

Answer:6.1

Step-by-step explanation: the equation is 6n=30.5+n. the first thing you you do is subtract n on both sides which would be 6n-n which gives you 5. the equation now is 5n=30.5. now what you do is divide 5 on both sides so it would be 30.5/5 and that gives you 6.1

6 0

3 years ago

What does -2/3 (x + 5) + 4 (x + 5) - 10/3 (x + 5) equal

Kitty [74]

Answer: 0

Step-by-step explanation:

$-\frac{2}{3}(x+5)+4(x+5)-\frac{10}{3}(x+5) = ?$