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Gnom [1K]
3 years ago
13

I need help on #4 ASAP!!!!

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0
Hi there. 

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84; 
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!
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its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
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When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

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3 years ago
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