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3 years ago

Triangle ABC has angle measures as shown.

Mathematics

1 answer:

Goshia [24]3 years ago

8 0

Answer:

29 degrees

Step-by-step explanation:

If I read your question correctly, your degree measures were

35, 52, and 3(x+2).

We know that all triangle angles measure up to 180 degrees, so we can add all of the given degree values to 180.

35+52+3(x+2)=180

Now, we can solve for x.

87+3x+6=180

93+3x=180

3x=87

x=29

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3 years ago

You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl

Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

$y=150(1+0.03)^t$

$y=150(1.03)^t$

The value of painting after double is 300. Substitute y=300.

$300=150(1.03)^t$

Divide both sides by 150.

$2=(1.03)^t$

Taking log both sides.

$\log 2=\log (1.03)^t$

$\log 2=t\log (1.03)$

$t=\dfrac{\log 2}{\log (1.03)}$

$t=23.44977$

$t\approx 23$

Therefore, the required number of years is 23.

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3 years ago

Alfonso makes $8.00 per hour working at a movie theater and $12.00 per hour working at a restaurant. Next week, Alfonso is sched

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