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2 years ago

Move point C so the measure of arc AC is 50° What is the measure of ABC?

Mathematics

1 answer:

Gnom [1K]2 years ago

4 0

Answer:

$m\angle ABC=25^o$

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc comprising

$m\angle ABC=\frac{1}{2}[arc\ AC]$

If the measure of arc AC is 50 degrees

then

$m\angle ABC=\frac{1}{2}[50^o]=25^o$

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Answer:

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Step-by-step explanation:

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2 years ago

Kristel is considering hiring a moving company. Sanford's Plus charges an initial fee of $125 plus $165 per hour. Quality Moving

Anna35 [415]

Let the number of hours be $x

Initial charges by Sanford's Plus = $125

Per hour charges = $165

Total cost of Sanford's Plus company = 125 + 165x

Initial charges by Quality Moving Company = $200

Per hour charges = $145

Total cost of Quality Moving Company = 200 + 145x

If either company were hired for hours, the total cost would be the same

125 + 165x = 200 + 145x

Add -125 on both sides

125 - 125 + 165x = 200 + 145x-125

165x = 75 + 145x

Add -145 on both sides

165x - 145x = 75

20x = 75

Divide both side by 20, to find the value of x

x = 75/20

x = 3.75 hours

Total cost of Sanford's Plus company = 125 + 165x

x = 12 hrs

Total cost of Sanford's Plus company = 125 + 165(12)

Total cost of Sanford's Plus company = 125 + 1980

Total cost of Sanford's Plus company = $2105

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2 years ago

Read 2 more answers

Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest and giv

Alenkinab [10]

Answer:

Option c. 18 withdrawals is correct

Step-by-step explanation:

Gareth has to invest = $2,000

His local bank gives 2.2% annual interest and gives him the ability to make ATM withdrawals without any charges.

In an online savings gives 4.85% annual interest, but charges $3 every time he makes an ATM withdrawal.

Let us find the amount of interest earned from the local bank.

The amount of interest earned from Local Bank = 2.2% of 2000

= $\frac{22}{100}$ × 2000

= 0.022 × 2000 = $44

The amount of interest earned from online savings = 4.85% of 2000

= $\frac{4.85}{100}$ × 2000

= 0.0485 × 2000 = $97

As it is given that savings account has no ATM withdrawal charges but online savings account charge $3.00 per withdrawal.

so we need to make x withdrawals from both accounts such that:

97 - 3x = 44

Let us solve for x.

Upon subtracting 97 from both sides of or equation we will get,

97 - 97 - 3x = 44 - 97

3x = -53

$\frac{3x}{-3}=\frac{-53}{-3}$

x = 17.666 rounded to 18

Therefore, Gareth must make 18 ATM withdrawals every year for the local savings account to be a better deal than the online savings account.

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