2 years ago

A number divided by 80 with a quotient of 7 and a remainder of 4

Mathematics

1 answer:

Lerok [7]2 years ago

5 0

I dont have the * exact answer * but i got 11 or 12. Hope this helps :))

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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

PtichkaEL [24]

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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