For the first one, lines one and two are perpendicular because they have opposite slopes. Parallel lines share the same slope
This is question #8. First what you do is turn all the denominators to 8, and them you just add, so it's 3.5 in decimal, and 3 4/8 in mixed fraction, and if you simplify that you get 3 1/2 as your fraction, and if you want that as improper fraction you get 28/8. And for #7 there must be a diagram, can you show me that, maybe I can help.
Here is ur answer
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Answer:
Therefore the true statement is option b . SK > YU
Step-by-step explanation:
Given:
SA ≅ OY
AK ≅ OU
∠A = 90°
∠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