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3 years ago

Find the measure for angle f 46 34 122 58

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

Answer:

$\angle f = 122\degree$

Step-by-step explanation:

$\angle d = 58\degree$ (vertical angles)

$\angle f+\angle d= 180\degree$

(Interior angles on the same side of transversal)

$\angle f+ 58\degree = 180\degree$

$\angle f = 180\degree-58\degree$

$\huge \orange {\boxed {\angle f = 122\degree}}$

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Tell whether this equation has no solution, one solution, or infinitely

natali 33 [55]

Answer:

infinitely many solutions

Step-by-step explanation:

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3 years ago

Read 2 more answers

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

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4 years ago

Can you guys help me on the number 2 I’m really stuck

JulsSmile [24]

Answer:

we have to see question 1 to help with number two

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3 years ago

Evaluate 3/7r + 5/8s when r = 14 and s = 8

gogolik [260]

Answer:

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7 0

3 years ago

Does anyone know how to solve this? I have to find lengths FJ, DM, and EM

swat32

Answer:

FJ= 24

DM= 16

EM= 18

Step-by-step explanation:

The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from.

So in the case of FJ, the median intersects the side at point J and extends from vertex F. This means that FM is twice as long as MJ. It tells us that MJ is 8, so MF would be 16. Now because FJ is just FM+MJ, FJ is 24.

It also tells us that DK is 24, which means that DM+MK = 24. If DM is twice as long as MK, that would make MK equal to 8 and DM equal to 16

Similarily, EM would be twice as long as ML. It says that ML=9 so that would make EM=18

3 0

3 years ago