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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Answer:
16.4
Step-by-step explanation:
To decrease a number by 45% of its value, you subtract the 45%. To get 45%, you multiply the number by 0.45.
So, if x is the original number, then the equation for this word problem would be x - 0.45x = 9.
To solve, we first subtract 0.45x from x, which is 0.55x. This means that 0.55x is equal to 9. To simplify, we can divide both sides by 0.55. 9/0.55 is 16.36363636..., etc. The nearest tenth would be 0.4, so your answer is 16.4
Answer:
Toney buys the coat for $ 14.8.
Step-by-step explanation:
Cost of coat =$ 22
Mark up by 75 %
discount = 10 %
Let toney pay $ R for the coat.
So, according to the question
R + 75 % R = 1.75 R
Now the cost is
1.75 R - 15 % of 1.75 R = 22
1.75 R - 0.2625 R = 22
R = 14.8
So, he buy the coat for $ 14.8.
Answer:
Below in bold.
Step-by-step explanation:
2x + 18 + 3x + 12 = 180 (property of a cyclic quadrilateral).
5x = 180 - 18 -12
5x = 150
x = 30
So m < A = 2(30)+18
= 78 degrees.
less than because when it turns negative it reverses how it would normally be. so 6 is greater than 5 but -6 is less than -5
