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miv72 [106K]
3 years ago
8

Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

Adjacent

x = 14

Step-by-step explanation:

Find the diagram attached

Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.

The sum of angle on a straight line is 180 degrees, hence;

5x + x+ 96 = 180

6x = 180 - 96

6x = 84

x = 84/6

x =14

The value of x s 14

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RSB [31]

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

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-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

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Step-by-step explanation:


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Step-by-step explanation:

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kotykmax [81]

Answer:

The length of the frame is 17

Step-by-step explanation:

The computation of the length of the frame is shown below:

As we know that

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= 2 (length + width)

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let us assume the width be x

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