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nikdorinn [45]
3 years ago
14

If two straight lines intersect and one angle is 30 degrees what are the other three angles

Mathematics
2 answers:
mel-nik [20]3 years ago
3 0
Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)

oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other

angles are
150,30,150
Zarrin [17]3 years ago
3 0
<span>Well when 2 lines intersect, there are 4 angles. The opposite angles are the same degrees. Since one angle is 30 degrees, the opposite angle is 30. So 30+30 is 60. Now all the 4 angles added up should be 360 degrees. So 360-60 is 300. Now 300 divided by 2 is 150 so the other 2 angles are 150 degrees.</span>
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Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

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Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

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u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

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  (d)  see below

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