9514 1404 393
Answer:
∠N = 10°
Step-by-step explanation:
Assuming the marked point on segment LN is supposed to be the center of the circle, arc NML is 180°, so arc ML is 180° -160° = 20°.
Arc ML is intercepted by inscribed angle LNM, so the measure of that angle is half the arc measure:
∠N = (1/2)(20°) = 10°
Answer:
If no time is spent on homework, the test grade is approximately 72.
Step-by-step explanation:
x
=
−
8
,
−
2
Explanation:
Given:
x
2
+
10
x
+
16
=
0
To complete the square put the two
x
terms on the left and the constant on the right of the equation:
x
2
+
10
x
=
−
16
Complete the square by multiplying the
x
-term by
1
2
:
1
2
⋅
10
=
5
and adding the square of this number to the right side of the equation:
5
2
=
25
(
x
+
5
)
2
=
−
16
+
25
UNDERSTANDING CHECK:
(
x
+
5
)
2
=
x
2
+
10
x
+
25
.
The
+
25
was not in the original equation. If we add
+
25
to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.
(
x
+
5
)
2
=
9
To solve, square root both sides of the equation:
√
(
x
+
5
)
2
=
±
√
9
x
+
5
=
±
3
x
=
−
5
±
3
x
=
−
5
+
3
=
−
2
,
x
=
−
5
−
3
=
−
8
x
=
−
8
,
−
2
Answer:
6p + 8b
Step-by-step explanation:
Let us assume that p would be the number of cups in each pack
And b would be the number of cups in boxes
Given that
There are 6 cups in each pack
And, 8 cups in each box
So the totla number of cups in each pack be 6p
And, the total number of cups in each box is 8b
Now the total number of cups did Alision buys is 6p + 8b
