Answer:
x=3
Step-by-step explanation:
∠DBC+∠VBC is 180° since it is a straight line, ∠VBC=20x+5
The sum of all angles in a triangle is 180°, 9x-2 + 40° +∠DBC=180°
To find x, you can find ∠DBC first. *Don't forget BRACKETS
∠DBC=180-(20x+5)
∠DBC=180-(9x-2 + 40°)
Now equal the equations to each other to find x.
180-(20x+5)=180-(40+9x-2)
180-20x-5=180-40-9x+2
175-20x=142-9x
175-142=20x-9x
33=11x
x=33/11
∴x=3
Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
10Answer:
10 + 10 =
Step-by-step explanation:
=20
Answer:
If P = (x,y) then formulas for each trigonometric functions are:
sin x = y/r
cos x = x/r
tan x = y/x
cot x = x/y
sec x = r/x
cosec x = r/y
where r = √(x²+y²).
First find r:
r = √(13²+84²)=√(169+7056)=√7225=85.
Then just substitute:
sin x = 84/85
cos x = 13/85
tan x = 84/13
cot x = 13/84
sec x = 85/13
cosec x = 85/84
