Angle and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who completed the proof incorrectly? Explain.
Angie's Proof
Statement
Justification
1. Segment GH intersects segment AB at K 1. Given
2. m AKG + m GKB 180°
2. Definition of Supplementary Angles
m. GKB + m2HKB 180°
3. m AKG + m2 GKB = m GKB + m2HKB 3. Substitution Property
4. m AKGm HKB
4. Subtraction Property
Becky's Proof
Statement
Justification
1. Segment GH intersects segment AB at K 1. Given
2. m AKG + m GKB = 180°
m GKB + m2HKB - 180°
2. Angle Addition Postulate
3. m AKG + m. GKB = m GKB + m2HKB 3. Substitution Property
4. m AKGm HKB
4. Subtraction Property

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm