If m ABC = 80° what is mzDBC? Justify your reasoning.
• Using the Angle Addition Postulate, 20 + m2DBC = 80. So, mzDBC = 60° using the subtraction property of equality.
Using the Angle Addition Postulate, 20 + 80 = m_DBC. So, m_DBC = 100° using the addition property of equality.
Using the addition property of equality, 20 + 80 = 100, so m_DBC = 100°.
Using the subtraction property of equality, 80 - 20 = 60, so m2DBC = 60°.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

b.   e = 7.5h

hope this , lovely!