Angle 3 is equal to angle 5 because of vertical angles.
Answer:
a) 1 in : 6 in
b) P=32 inches
A =60 inches ^2
c) P= 16 ft
A = 15 ft ^2
Step-by-step explanation:
The drawing is 6 inches tall, while the real flag is 3 ft tall
Change ft to inches
3 ft * 12 inches/1ft = 36 inches
drawing : real life
6 36
Divide each by 6
1 6
The scale is 1 to 6
So for every 1 inch on the drawing, there is 6 inches in real life
b) P= 2(l+w) = 2(10+6) = 2(16) = 32 inches
A = l*w = 10*6 =60 inches ^2
C)
The drawing is 10 inches by 6 inches
Multiply by the scale factor of 6
Real life is 60 inches by 36 inches
Divide by 12 to get back to ft
5ft by 3 ft
P= 2(l+w) = 2(5+3) = 2(8) = 16 ft
A = l*w = 5*3 =15 ft ^2
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Answer:
31
Step-by-step explanation:
78 - 47 is 31 bales of hay
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°
