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Llana [10]
3 years ago
5

angles X and Y are supplementary and the mesure of angle X is 24 degrees greater than the measure of angle Y. Find the measures

of angles X and Y
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Measures of angles are X = 102° and Y = 78°

Step-by-step explanation:

  • Step 1: Let ∠X = 24 + Y. As they are supplementary angles, ∠X + ∠Y = 180°

⇒ 24 + Y + Y = 180

⇒ 2Y = 180 - 24 = 156

⇒ Y = 156/2 = 78°

  • Step 2: Find measure of X

⇒ X = 24 + Y = 24 + 78 = 102°

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zimovet [89]

Answer:

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Step-by-step explanation:

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3 years ago
A bank manager wants to encourage new customers to open accounts with principals of at least ​$2 comma 500. He decides to make a
prisoha [69]

Answer:

To earn $10 in 1st month, the principal must be $4,000.

No, the poster cannot claim that "Open an account of ​$2 comma 500 and earn at least ​$10 interest in 1​ month!".

Step-by-step explanation:

We have been given that a bank manager wants to encourage new customers to open accounts with principals of at least ​$2,500. He decides to make a poster advertising a simple interest rate of 3​%. We are asked to find the principal to advertise that one can earn ​$10 the first​ month.

We will use simple interest formula to solve our given problem.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

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