Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
Answer:lol
Step-by-step explanation:
Answer:
<h2>y = 7</h2>
Step-by-step explanation:
We know that the sum of the measures of angles on one side of the parallelogram is 180°.
We have the equation:
(6x - 12) + (132 - x) = 180
6x - 12 + 132 - x = 180 <em>combine like terms</em>
(6x - x) + (-12 + 132) = 180
5x + 120 = 180 <em>subtract 120 from both sides</em>
5x = 60 <em>divide both sides by 5</em>
x = 12
Opposite angles in the parallelogram are congruent.
Therefore:
6y + 18 = 6x - 12
Put the value of x to the equation and solve it for y:
6y + 18 = 6(12) - 12
6y + 18 = 72 - 12
6y + 18 = 60 <em>subtract 18 from both sides</em>
6y = 42 <em>divide both sides by 6</em>
y = 7
Answer:
5)
x=13.856
y=8
6)
u=4
v=3.464
Step-by-step explanation:
5)
y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
y = 16*sin(30)/sin(90)
y=8
x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
x=16*sin(60)/sin(90)
x=13.856
6)
sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)
sin(90)/u= sin(30)/2
u *sin(30) = 2* sin(90)
u *sin(30) = 2
u=2/sin(30)
u=2/0.5
u=4
sin(60)/v= sin(30)/2
v *sin(30) = 2* sin(60)
v *sin(30) = 2 * 0.866
v * sin(30) = 1.73
v = 1.73/sin(30)
v = 3.464
Think of ratios as fractions.
5:8 is the same as 5/8
6:7 is the same as 6/7
Divide each fraction
5/8 = 0.625
6/7 = 0.857
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0.857 > 0.625 ∴ 6:7 is greater, and is your answer
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hope this helps
