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DragonLovely
29.10.2019 •
Mathematics
Match the reasons with the statements in the proof to prove that triangle abc is congruent to triangle abd, given that ab ⊥ bd, ab ⊥ bc, and ac = ad.
given:
ab ⊥ bd
ab ⊥ bc
ac = ad
prove:
△abc ≅ △abd
1. ab ⊥ bd, ab ⊥ bc, ac = ad
given
2. ∠abc and ∠abd are right angles
perpendicular lines form right angles
3. ab = ab hypotenuse -
leg postulate
4. △ abc ≅ △ abd
reflexive property of equality
Solved
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Ответ:
x = amount of raisins
y = amount of peanuts
x+y = 5
1.50x+2.50y = 10.50
Step-by-step explanation:
I can't see a table, and im not sure what the question is, but anyways,
you solve this by using elimination or substitution in the system of equations.
Personally, substitution is easier for me so:
x+y = 5
y=5-x
1.50x+2.50(5-x) = 10.50
1.50x+12.50 -2.50x = 10.50
-1x+12.50 = 10.50
-x+12.50-12.50 = 10.50-12.50
-1x = -2
-1x/-1 = -2/-1
x = 2
y =5-x
y=5-2
y=3
Since x was the amount of raisins, and y was the amount of peanuts, we can say that Jeremy used two pounds of raisins and 3 pounds of peanuts to make his 5 pounds of trail mix.