The answer is 1.
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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.
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2 terms. (4x) and (9). Terms are separated by addition or subtraction but not multiplication or division
The angles should add to 540, so
b+ (3/2)b+(b+45)+(2b-90)+90=540
First combine like terms
5.5b+45=540
Then subtract 45 from both sides
5.5b=495
Divide both sides by 5.5
b=90
Final answer: b=90
We know that the ratio is 6:9 green to blue balloons. We can divide 1620 by 9. This gives us 180. Next, we multiply 6 * 180. This gives us 1080.
There are 1,080 green balloons.