Adjacent angles ABD and DBC. The measure of angle DBC is 40 degrees.

If m∠ABC = 70°, what is m∠ABD? Justify your reasoning.

Using the addition property of equality, 40 + 70 = 110, so m∠ABD = 110°.
Using the subtraction property of equality, 70 − 30 = 40, so m∠ABD = 30°.
Using the Angle Addition Postulate, 40 + m∠ABD = 70. So, m∠ABD = 30° using the subtraction property of equality.
Using the Angle Addition Postulate, 40 + 70 = m∠ABD. So, m∠ABD = 110° using the addition property of equality.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

step-by-step explanation: