Step-by-step explanation:
x - 7 < -20
x < -20 + 7
x < -13
X = (-12, -11, -10,...)
Yes i think that is the answer good boj
Use the addition and subtraction theorem:
sin (A + B) = sin A + cos B
sin (A - B) = sin A - cos B
From there it's just a matter of simplification.
sin A cos B = 1/2 [ sin (A + B) + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin A cos B - cos A sin B ]
sin A cos B = 1/2 [ 2 sin A cos B ]
sin A cos B = sin A cos B
Answer:
Mrs. Wang is 38 years old and her daughter is 15 years old.
Step-by-step explanation:
Explanation:
Let
x
=
the daughter's age
Mrs. Wang is
23
years older, so her age is
x
+
23
In five years, the daughter will be
x
+
5
years old
In five years, Mrs. Wang will be
x
+
23
+
5
=
x
+
28
years old
And, in five years the sum of their ages will be 63, so...
x
+
5
+
x
+
28
=
63
Combine like terms
2
x
+
33
=
63
a
a
−
33
a
−
33
a
a
a
Subtract 33 from both sides
2
x
a
a
a
a
a
=
30
2
x
2
=
30
2
a
a
a
Divide both sides by 2
x
=
15
a
a
a
The daughter is 15
x
+
23
=
15
+
23
=
38
a
a
a
Mrs. Wang is 38
