Answer: b2 should be 5 i believe
Step-by-step explanation:
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:Width is 6 meters and length is 7 meters
Step-by-step explanation:Let width be
x
and length be
y
. We know that the length of the rectangle is 5 less than twice its width. This can be written as:
y
=
2
x
−
5
We also know that the perimeter of the rectangle is 26 meters. The perimeter is the sum of all sides: 2 widths + 2 lengths.
P
=
2
x
+
2
y
26
=
2
(
x
+
y
)
x
+
y
=
13
We now have two equations which we can solve simultaneously. Substitute
y
=
2
x
−
5
into the second equation:
x
+
y
=
13
x
+
(
2
x
−
5
)
=
13
3
x
=
18
x
=
6
Now that we have a value for
x
(width), we can sub this value into the first equation to get
y
(length).
y
=
2
(
6
)
−
5
y
=
7
There are other methods you can use to solve simultaneous equations.
Hope this helps :)
Here is how you do it so they asked 120 kids and 46 of them hangs out
on Saturdays so you just do this 46/120=38%
Answer:
15 questions
Step-by-step explanation:
9x100=900
900/60=15
9/15=60%
plz mark me as brainliest.
