Hello :
PA = PB or PA² = PB²
(5-b)²+(4-2)² = (2-b)² + (5-2)²
(5-b)²+4 = (2-b)² + 9
25 -10b +b² + 4 = 4 -4b+b² +9
-6b = -16
b = 8/3
Answer:
Her current age is 8 years old.
Step-by-step explanation:
Current age: x
"In 10 years, a child’s age will be 6 years less than triple her current age."
In 10 years: <u>x + 10</u>
6 years less than triple: <em>3x - 6</em>
<u>x + 10</u> = <em>3x - 6</em>
<em>solve.</em>
<em>16 = 2x</em>
<em>x = 8</em>
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°
Answer: They look the same just one upside down, so I think 127 degrees.
Step-by-step explanation:
