For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
<h3>
angle NOP = 68 degrees</h3>
First, we can expand the terms on the right side of the equation:
y
−
10
=
2
(
x
−
8
)
y
−
10
=
(
2
×
x
)
−
(
2
×
8
)
y
−
10
=
2
x
−
16
Next, we can add
10
and subtract
2
x
from each side of the equation:
−
2
x
+
y
−
10
+
10
=
−
2
x
+
2
x
−
16
+
10
−
2
x
+
y
−
0
=
0
−
6
−
2
x
+
y
=
−
6
Now, multiply each side of the equation by
−
1
−
1
(
−
2
x
+
y
)
=
−
1
×
−
6
(
−
1
×
−
2
x
)
+
(
−
1
×
y
)
=
6
2
x
+
(
−
y
)
=
6
or
2
x
−
y
=
6
I think the it would be some like y-8
Flutes-10, 5, 2
Clarinets- 8, 12, 16
10:8=5:4
5:12
2:16=1:8
Hope this helps!
Answer:
Step-by-step explanation:
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