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timofeeve [1]
3 years ago
8

At the Planetarium, tickets cost $10 for adults and $5.50 for kids under 12. How

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

Answer:

I do not understand 1234

Step-by-step explanation:

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One angle of a triangle measures 16∘ more than the smallest, while a third angle is twice the smallest. Find the measure of each
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Answer:

Smallest angle: 41°

Second angle: 57°

Third angle: 82°


Step-by-step explanation:

Let's call the smallest angle as x

<u>"while a third angle is twice the smallest"</u>: third angle is 2x

<u>"One angle of a triangle measures 16∘ more than the smallest":</u> 2nd angle is 16+x

We know sum of 3 angles in a triangle is 180 degrees, so we can set up the equation and solve for x:

x+(16+x)+(2x)=180\\x+16+x+2x=180\\4x=180-16\\4x=164\\x=\frac{164}{4}=41

So smallest angle is 41°

The 2nd angle is 16+41=57°

third angle is 2*41=82°

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