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Klio2033 [76]
3 years ago
6

An inheritance of ​$33000 will be divided between sisters hannah and taylor. if hannah is to receive ​$1000 less than​ taylor, h

ow much does each sister​ receive?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0
Total amount of money is 33000
There are two recipients of the money, and one is getting 1000 more than the other
Let H = Hannah
Let T = Taylor
T + H = 33000
Since Taylor is getting 1000 more than Hannah, T = H + 1000
So, H + (H + 1000) = 33000
2H + 1000 = 33000
2H = 32000
H = 16000
<u>Hannah gets 16000</u>
<u>Taylor gets 16000 + 1000 = 17000</u>


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GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

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Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago
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sashaice [31]

Answer:

Cost of medium iced caramel latte = $3.59

Step-by-step explanation:

Assume;

Cost of medium iced caramel latte = x

Cost of blueberry muffin = y

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x + y = 5.18......eq1

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Eq1 × 3

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