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sweet-ann [11.9K]
3 years ago
12

How do I solve this? Like what are the steps to solving this question

Mathematics
2 answers:
LekaFEV [45]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(6)

55° and ∠2 are vertical angles and congruent, hence

∠2 = 55°

∠1 and ∠2 are complementary angles ( They form a right angle )

∠1 = 90° - 55° = 35°

(7)

132° and ∠2 are alternate angles and congruent, hence

∠2 = 132°

∠1 and ∠2 are supplementary ( straight angle )

∠1 = 180° - 132° = 48°

ozzi3 years ago
5 0

Answer:

1 = 35

2 = 55

Step-by-step explanation:

so we know that between 1 and 2 it is 90 degrees we also know that angle 1 and the angel to the left of it make 180 degrees so do

180 - 90 = 90

this means the angle next to line 1 is also 90 degrees

then we would see that the 55 degrees the 90 degrees and angle 1 make 180 degrees so do

55 + 90 = 145

180 - 145 = 35 degrees so angle 1 is 35 degrees

then we would find angle 2

90 - 35 = 55 degrees so angle 2 = 55

hope this helps : )

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How do you do this question?
ElenaW [278]

x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

dy/dx + (1/x)*y = 8

We have something in the form

y' + P(x)*y = Q(x)

which is a first order ODE

The integrating factor is u(x) = e^{\int P(x)dx} = e^{\int (1/x) dx} = e^{\ln(x)} = x

Multiply both sides by the integrating factor (x) and we get the following:

dy/dx + (1/x)*y = 8

x*dy/dx + x*(1/x)*y = x*8

x*dy/dx + y = 8x

y + x*dy/dx = 8x

Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

y + x*dy/dx = 8x turns into (xy)' = 8x

Integrating both sides with respect to x leads to

xy = 4x^2 + C

y = (4x^2 + C)/x

y = (4x^2)/x + C/x

y = 4x + Cx^(-1)

where C is a constant. In this case, C = -5 leads to a solution

y = 4x - 5x^(-1)

you can check this answer by deriving both sides with respect to x

dy/dx = 4 + 5x^(-2)

Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.

6 0
3 years ago
Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle
Delvig [45]
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4 0
3 years ago
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
How can i use inverse operations to write the related multiplication and division sentences???
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