Answer:
y = one-third x + 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Find slope <em>m</em>
m = (4 - 1)/(3 + 6)
m = 3/9
m = 1/3
y = 1/3x + b
Step 2: Find <em>b</em>
4 = 1/3(3) + b
4 = 1 + b
b = 3
Step 3: Rewrite
y = 1/3x + 3
The value of y = 40.
5x = 40
x = 8
180 = 40 + 40 + (2y + 20)
40 = y
Answer:
15.726
Step-by-step explanation:
log 5=0.698×12.5
=8.737
=0.698×10
=6.989
=8.737+6.989
=15.726
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
