1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Neporo4naja [7]
2 years ago
6

A pair of parallel lines is cut by a transversal:

Mathematics
2 answers:
notsponge [240]2 years ago
7 0
60 degress add it up
Vladimir79 [104]2 years ago
3 0

Answer:

60

Step-by-step explanation:

1. parallel angle = 85

2. 180 - 85 = 95

3. 180 - (95+25) = 60

You might be interested in
What is the following number written as a percentage<br> .4543
Cloud [144]

Answer: 45.43%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the value of y . <br> Please help !
Leokris [45]

9514 1404 393

Answer:

  (b)  √55

Step-by-step explanation:

The right triangles in this geometry are all similar, so the ratio of long side to short side is the same:

  y/5 = 11/y

  y² = 55 . . . . . . multiply by 5y

  y = √55 . . . . . take the square root

__

And x=4√5 by looking at ratios of short side to hypotenuse.

8 0
3 years ago
Write the linear system of differential equations in matrix form then solve the system.
zvonat [6]

In matrix form, the system is

\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}1&1\\4&1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}

First find the eigenvalues of the coefficient matrix (call it \mathbf A).

\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}1-\lambda&1\\4&1-\lambda\end{vmatrix}=(1-\lambda)^2-4=0\implies\lambda^2-2\lambda-3=0

\implies\lambda_1=-1,\lambda_=3

Find the corresponding eigenvector for each eigenvalue:

\lambda_1=-1\implies(\mathbf A+\mathbf I)\vec\eta_1=\vec0\implies\begin{bmatrix}2&1\\4&2\end{bmatrix}\begin{bmatrix}\eta_{1,1}\\\eta_{1,2}\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix}

\lambda_2=3\implies(\mathbf A-3\mathbf I)\vec\eta_2=\vec0\implies\begin{bmatrix}-2&1\\4&-2\end{bmatrix}\begin{bmatrix}\eta_{2,1}\\\eta_{2,2}\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix}

\implies\vec\eta_1=\begin{bmatrix}1\\-2\end{bmatrix},\vec\eta_2=\begin{bmatrix}1\\2\end{bmatrix}

Then the system has general solution

\begin{bmatrix}x\\y\end{bmatrix}=C_1\vec\eta_1e^{\lambda_1t}+C_2\vec\eta_2e^{\lambda_2t}

or

\begin{cases}x(t)=C_1e^{-t}+C_2e^{3t}\\y(t)=-2C_1e^{-t}+2C_2e^{3t}\end{cases}

Given that x(0)=1 and y(0)=2, we have

\begin{cases}1=C_1+C_2\\2=-2C_1+2C_2\end{cases}\implies C_1=0,C_2=2

so that the system has particular solution

\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}e^{3t}\\2e^{3t}\end{bmatrix}

8 0
3 years ago
I need help with #5.
Xelga [282]

Answer:

-4/5=10/5

Step-by-step explanation:

8 0
3 years ago
4 (1 + 3x) = 5 (x - 2)<br> solve for x<br> please help
olga nikolaevna [1]

Answer: the answer is x=−2

8 0
2 years ago
Read 2 more answers
Other questions:
  • 35 points!! Only comment if you really know the answer please.
    6·1 answer
  • Write the quadratic equation whose roots are
    6·1 answer
  • Simplify the expression. Show your work. Help!!<br><br>(x + 6)2
    15·1 answer
  • What is the slope of the line shown below?
    6·2 answers
  • What is the value of x in the equation? 5 1 10 x − 6 4 5 = 3 1 4 A) 1 1 9 B) 1 1 5 C) 1 3 20 D) 1 33 34
    5·1 answer
  • 100 to 150. What is the percent of change?
    14·2 answers
  • What does the relationship between the mean and median reveal about the shape of the data? The mean is less than the median, so
    10·2 answers
  • The lines shown below are parallel. If the green line has a slope of 8, what is
    10·1 answer
  • I'm so clueless please help!
    8·1 answer
  • 41 is 163 added to y
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!