Answer:
x = 27.42
Step-by-step explanation:
To find the value of x
a segment will be 180 degrees so now we can easily find the value of x
2x + 1 + 5x - 13 = 180 (line segment is 180 degrees)
7x - 12 = 180
7x = 180 +12
7x = 192
x = 192/7
x = 27.42
The exact population of Vermont in 2008 would have been 600,000
Answer:
it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)
-80....each number is double the one before it
Step-by-step explanation:
In ΔKLM, l = 570 cm, k = 490 cm and ∠K=46°. Find all possible values of ∠L, to the nearest degree.
K
L
M
k = 490
l = 570
46°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin L}{570}=\frac{\sin 46}{490}
570
sinL
=
490
sin46
Plug in values.
\sin L=\frac{570\sin 46}{490}\approx 0.836783
sinL=
490
570sin46
≈0.836783
Evaluate.
L=\sin^{-1}(0.836783)\approx 56.8\approx 57^{\circ}
L=sin
−1
(0.836783)≈56.8≈57
∘
Inverse sine and round.
\text{Quadrant II: } 180-57=123^{\circ}
Quadrant II: 180−57=123
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
46+57=103
46+57=103
∘
←Possible
Less than 180.
46+123=169}
46+123=169
∘
←Possible
Less than 180.
Answer: 57
and 123