PA is a tangent, PBC is a secant, AOC is a diameter, AD and DC are chords
Angle APC = 57, Angle DC = 34
<em>[measurements are in degrees]</em>
(A) Arc BA = 66
Since AOC is a diameter, Arc AC is 180. Angle APC is equal to half the difference between BA and AC.
APC = 1/2 (AC - BA)
57 = 1/2 (180 - BA)
114 = 180 - BA
BA = 66
(B) Arc BD = 80
BD is 360 minus BA, AC, and DC.
BD = 360 - BA - AC - DC
BD = 360 - 180 - 66 - 34
BD = 80
(C) Angle ACD = 73
ACD is half of ABD, which is BA plus BD.
ACD = 1/2 (BA + BD)
ACD = 1/2 (66 + 80)
ACD = 1/2 * 146
ACD = 73
(D) Angle BED = 130
BED is the same as AEC, which is 180 minus ECA and EAC.
ECA is half BA, and EAC is half DC.
BED = 180 - 1/2 BA - 1/2 DC
BED = 180 - 1/2 * 66 - 1/2 * 34
BED = 180 - 33 - 17
BED = 130
(E) Angle PCA = 33
PCA is half BA
PCA = 1/2 BA
PCA = 1/2 * 66
PCA = 33
(F) Angle PAD = 73
PAD is half ABD, which is BA plus BD.
PAD = 1/2 (BA + BD)
PAD = 1/2 (66 + 80)
PAD = 1/2 * 146
PAD = 73
Answer:
16(x + 3)
4(7x + 8y)
w(11 + h)
Step-by-step explanation:
16x + 48
The greatest common factor of 16 and 48 = 16
Hence, expressing 16x + 48 in factored form:
16x + 48 = 16(x + 3)
28x + 32y
Greatest common factor of 28 and 32 = 4
Hence,
28x + 32y = 4(7x + 8y)
11w + hw
11w + hw = w(11 + h)
Answer:
a mixed number has a whole number along with a fraction, while an improper fraction is just a fraction with a bigger number on top
Step-by-step explanation:
The answer is 2/6 because both of the numbers can be divided by 2. 4/2 is 2 and 12/2 is 6
