3 years ago

Can someone walk me through this? (Geometry - Triangle Congruence Proof using SAS Theorem)

1 answer:

6 0

Angle A and Angle D are congruent because angles of an equilateral triangle are congruent.

Side AD is equal to side AD because of the reflexive property

Side AC is congruent to side DB because components of sides are congruent

Therefore, Triangle ACD is congruent to Triangle DBA

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Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have

wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610 Eqn 1

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Putting value of y from Eqn 1 in Eqn 2

$25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570$

Dividing both sides by 30

$\frac{30x}{30}=\frac{570}{30}\\x=19$

Putting x=19 in Eqn 2

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Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

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