Describe a situation that the expression -15÷(-15) can represent
1 answer:
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In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.
<h3>What is the Angle Addition Postulate?</h3>The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.
∠BAD comprises of ∠BAC and ∠CAD.
Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.
The missing reason in box 1 would be: angle addition postulate.
Learn more about angle addition postulate on:
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Given that, the variable z is directly proportional to x, and inversely proportional to y.
So, we can set up an equation as following:
Where k = constant of variation.
Another information given in the problem is, when x is 9 and y is 6, z has the value 19.5.
So, x = 9, y = 6 and z = 19.5.
Let's plug in these values in the above equation. So,
19.5 = k* 1.5
Divided each sides by 1.5 to isolate k.
So, k = 13.
Hence, the equation will be .
Now we need to find the value of z when x= 14, and y= 11 . Therefore,
So, z= 16.5 (Rounded to tenth).
Hope this helps you!