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sasho [114]
1 year ago
5

Can someone please help me and give me reasoning explanation for this? I’m confused.

Mathematics
1 answer:
sattari [20]1 year ago
7 0
Answer is a. (-13, 12) b. (4, 11)

Step by step

When your rule is
(x,y) ➡️ (x -8, y +2)

a)
You take your input (-5, 10) and add your input rule to that input to get your output.

Input of x is -5, add x rule -8 = -13
Input of y is 10, add y rule +2 = 12

Your output or new coordinate is (-13, 12)

b) You take your input (12, 9) and add your input rule to that input to get your output.

Input of x is 12, add x rule -8 = 4
Input of y is 9, add y rule +2 = 11

Your output or new coordinate is ( 4, 11)

If your rule changes the process is still the same. Remember to watch adding or subtracting negatives. You can use a graph and plot your input and count out your “rule” to double check your work if you want.
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For the figure below, circle the statement that must be true
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Answer:

Therefore the true statement is option b . SK > YU

Step-by-step explanation:

Given:

SA ≅ OY

AK ≅ OU

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∠O = 70°

To Prove:

SK > YU

Proof:

We have,

Hinge theorem:

States that ''if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle''.

In Δ SAK and Δ YOU

SA ≅ OY

AK ≅ OU

∠ A is larger than ∠O

i.e 90 > 70

Side opposite to 90  > Side opposite to 70

∴ SK > YU ..............Proved

Therefore the true statement is option b . SK > YU

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