The measure of ∠ABP and ∠ABC are 32° and 64° respectively.
<h3>what is a bisector of an angle?</h3>
Any line which divides an angle into two equal halves is a bisector of that angle.
Analysis:
Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.
∠ABC = ∠ABP + ∠PBC
∠ABC = 32 + 32 = 64°
In conclusion, ∠ABP and ∠ABC are 32° and 64°
Learn more about bisectors of angles: brainly.com/question/24334771
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Answer:
A = pi *1024 unit^2
A = 3216.990877 units^2
Step-by-step explanation:
The area of a circle is given by
A = pi * r^2
we know the radius is 32
A = pi * 32^2
A = pi *1024 unit^2
A = 3216.990877 units^2
<h3>Solution and Explanation:</h3>
If
and
are directly proportional, then they must have a common scalar.
To find
we must first find its scalar. If we let
be the scalar we can form the equation,
.
We are given the information that if
then
. We can use that in finding the scalar.
![a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}](https://tex.z-dn.net/?f=a%20%5Ctimes%209%20%3D%207.5%20%5C%5C%20%5Cfrac%7Ba%20%5Ctimes%209%7D%7B9%7D%20%3D%20%5Cfrac%7B7.5%7D%7B9%7D%20%5C%5C%20a%20%3D%20%5Cfrac%7B75%7D%7B90%7D%20%5C%5C%20a%20%3D%20%5Cfrac%7B15%7D%7B18%7D)
Now we can solve for
when
knowing that our scalar is
.
![ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q](https://tex.z-dn.net/?f=ap%20%3D%20q%20%5C%5C%20%5Cfrac%7B15%7D%7B18%7D%20%5Ctimes%2024%20%3D%20q%20%5C%5C%20%5Cfrac%7B360%7D%7B18%7D%20%3D%20q%20%5C%5C%2020%20%3D%20q)
<h3>Answer:</h3>
when ![p = 24](https://tex.z-dn.net/?f=p%20%3D%2024)
Answer:
1) given
2) reflexive property
3) corresponding angles theorem
4) AA similarity
5) Corresponding sides of similar triangles are proportional.
Answer:
No, it is physically impossible to put your tongue in a knot.
Step-by-step explanation: