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:
your mom
Step-by-step explanation:
Answer:
The value of x is 12.5.
Step-by-step explanation:
We are given with the following proportion below;
To find the value of 
, first we have to find the number by which 12 must be divided so that we get 5 as a result.
That number is 2.4, that is if we divide 12 with 2.4 we get the result as 5.
So, 
This means that 
.
So, we get the value of x = 12.5.
Now, to check the solution to this proportion, we use cross multiplication method;
150 = 150
Since both sides of the equation are equal, that means our value of x = 12.5 is correct.
<span>2x^3+6x^2+2x+6
= 2(</span><span>x^3 + 3x^2 + x + 3)
= 2[x^2 (x + 3) + (x + 3)]
= 2(x^2 + 1)(x + 3)
hope it helps</span>
