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Math Problems
Precalculus
Complementary angle identities
Angles
4
4
4
and
7
7
7
are alternating angles. Therefore, their measures are equal;
6
x
+
20
=
10
x
−
40
6x + 20 = 10x - 40
6
x
+
20
=
10
x
−
40
,
4
x
=
60
4x = 60
4
x
=
60
,
x
=
15
x = 15
x
=
15
. Since
x
=
15
x = 15
x
=
15
, the measure of angles
4
4
4
and
7
7
7
is
6
(
15
)
+
20
=
90
+
20
=
110
6(15) + 20 = 90 + 20 = 110
6
(
15
)
+
20
=
90
+
20
=
110
. Notice that replacing
x
x
x
with
15
15
15
in the measure of angle
7
7
7
also yields
110
110
110
:
10
(
15
)
−
40
=
150
−
40
=
110
10(15) - 40 = 150 - 40 = 110
10
(
15
)
−
40
=
150
−
40
=
110
. Since angles
6
6
6
and
7
7
7
are vertical angles, the measure of angle
6
6
6
is also
11
0
∘
110^\circ
11
0
∘
.
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What is
N
×
3.7
N \times 3.7
N
×
3.7
when
n
=
5.3
n = 5.3
n
=
5.3
?
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Find the smallest pair of
4
4
4
-digit numbers such that the difference between them is
303
303
303
and their HCF is
101
101
101
. Show your steps.
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x
+
3
y
=
2
x+3y=2
x
+
3
y
=
2
.
4
x
−
3
y
=
23
4x-3y=23
4
x
−
3
y
=
23
. The given system of equations has solution
x
,
y
x,y
x
,
y
. What is the value of
x
x
x
?
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Find the value of
x
x
x
in the equation below.
\newline
6
x
=
14.4
6 x=14.4
6
x
=
14.4
\newline
Answer:
x
=
x=
x
=
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Solve the equation.
\newline
0.3
b
=
0.9
0.3 b=0.9
0.3
b
=
0.9
\newline
b
=
b=
b
=
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h
2
−
4
h
=
0
h^2 - 4h = 0
h
2
−
4
h
=
0
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