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3 years ago

Find the measure of each numbered angle

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

8 0

1:81 Degrees
2:109 Degree
3&4:90 Degrees

ivann1987 [24]3 years ago

4 0

Answer:

1. 71 degrees 2. 109 degrees 3. 90 degrees 4. 90 degrees

Step-by-step explanation:

109 + 71 = 180 (straight line)

so the other side (under) of 109 degrees is 71 degrees. That angle is the same angle as 1 because that same line (transversal) runs through both parallel lines.

The angle diagonal from 2 is 109 because it mirrors the same measurements as the one on the left. Angle 2 is the same angle as 109 degrees because it's a vertical angle. All vertical angles are equal.

Because the same line on the bottom runs through the parallel lines then the same angles apply to both on the bottom. The right one is a 90 degree angle

which makes both 3 and 4 90 degrees because 90 + 90 equals a straight line 180 degrees.

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Yd?. Round your answer to the The area of the figure below is nearest tenth.

SashulF [63]

148.2

Because
19 x 7.8

3 0

3 years ago

Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19

Katen [24]

$x''+4x'+53x=15$

has characteristic equation

$r^2+4r+53=0$

with roots at $r=-2\pm7i$ . Then the characteristic solution is

$x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)$

For the particular solution, consider the ansatz $x_p=a_0$ , whose first and second derivatives vanish. Substitute $x_p$ and its derivatives into the equation:

$53a_0=15\implies a_0=\dfrac{15}{53}$

Then the general solution to the equation is

$x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}$

With $x(0)=8$ , we have

$8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}$

and with $x'(0)=-19$ ,

$-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}$

Then the particular solution to the equation is

$\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}$

8 0

3 years ago

Find the solution of the system of equations shown on the graph.

svlad2 [7]

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The 2 lines shown here are parallel and never intersect

Hence the system has no solution

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4 years ago

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Yuki888 [10]

Vertical angles are equal to each other, so to solve this, you can set the angle measures equal to each other and solve for x.

Z = Y Replace X and Y with their values
4x - 17 = 2x + 7 Isolate the value. Start by adding 17 to both sides
4x = 2x + 24 Subtract 2x from both sides
2x = 24 Divide both sides by 2
x = 12

6 0

4 years ago

If Tayler can travel 180 miles in 3 hours, how many miles can she travel per hour?

Mamont248 [21]

60 miles an hr.. Because 180 divides by three is 60 and that is the answer per hr

3 0

3 years ago

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