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zubka84 [21]
3 years ago
10

Combined, Teresa and Janey have saved $345 dollars. Teresa has saved twice as much as Janey. How much money do they each have?

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer: Janey has $115, and Teresa has $230.

Step-by-step explanation:

Set x be the money that Janey have, then Teresa have 2x.

x + 2x = 345

      3x = 345

         x= $115

2x= 2(115)= $230

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The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.

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Transformation Rule:<br> Translate 4 units right and 3 units up.<br> B<br> Х<br> A
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Step-by-step explanation:

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If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

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Now plot these points on the graph.

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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)

#5

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)

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

#6

In ΔXYZ

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

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∴ h = 5 and k = -3

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

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∵ 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)

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