Supplementary = angles add up to 180
Measure = 20 less
Labelled as x + (x - 20) = 180
Solve.
x + (x - 20) = 180
2x = 200
/2 /2
x = 100
Angle 1: Angle 2:
x - 20 x
100 - 20 100
80
Therefore the angle is 80 degrees.
Proof: 80 + 100 = 180 (supplementary)
100 - 80 = 20 (80 is less than supplement (100)
Hope I helped :))))
Answer:
1. -9
2. -17
3. -4
4. -11
5. -17
6. -2
7. -20
8. 11
9. 22
10. 36
Have a good day! And do you mind marking me brainliest? much appreciated :)
Answer:
Step-by-step explanation:
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Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
Answer:
Standard deviation = 14.064
Step-by-step explanation:
We are given the following data;
X X - 
20 20 - 46 = -26 676
23 23 - 46 = - 23 529
32 32 - 46 = -14 196
36 36 - 46 = -10 100
41 41 - 46 = -5 25
43 43 - 46 = -3 9
44 44 - 46 = -2 4
45 45 - 46 = -1 1
47 47 - 46 = 1 1
54 54 - 46 = 8 64
55 55 - 46 = 9 81
59 59 - 46 = 13 169
61 61 - 46 = 15 225
63 63 - 46 = 17 289
66 66 - 46 = 20 <u> 400 </u>
<u>= 2769 </u>
Firstly we will calculate Mean, = 
= 45.93 ≈ 46
Now, Standard deviation formula is given by;
s = 
= 
= 14.064 .
