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3 years ago

9

PLEASE HELP DUE IN 10 MINUTES!!

1 answer:

sergey [27]3 years ago

6 0

X is 29 degrees.

4x + x + 35 = 180
5x + 35 = 180
-35 on both sides
5x = 145
divide by 5 on both sides
x = 29

hope this helps!!

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Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

3 years ago

What is the m∠N ? Can someone help me :)

Sauron [17]

Answer:

<h2>61°</h2>

Step-by-step explanation:

Use the sine law:

$\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}$

We have:

$MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924$

Substitute:

$\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}$ <em>cross multiply</em>

$6\sin(\angle N)=(18)(0.2924)$

$6\sin(\angle N)=5.2632$ <em>divide both sides by 6</em>

$\sin(\angle N)=0.8772\to m\angle N\approx61^o$

4 0

3 years ago

Help please ! it’s one of the multiple choices

sammy [17]

Answer:

Option C

Step-by-step explanation:

$\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}$

$\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}$

$\sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)$

3 0

2 years ago

X +30=2X-4 <br> solve x<br><br><br><br> .<br> .

MArishka [77]

Answer: X = 34

Step-by-step explanation:

Let's solve your equation step-by-step.

x+30=2x−4

Step 1: Subtract 2x from both sides.

x+30−2x=2x−4−2x

−x+30=−4

Step 2: Subtract 30 from both sides.

−x+30−30=−4−30

−x=−34

Step 3: Divide both sides by -1.

−x

−1

=

−34

−1

6 0

3 years ago

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What is 45 percent of 37?<br> 0.1665<br> 1.665<br> 16.65<br> 166.5

xxTIMURxx [149]

Answer:

16.65

Step-by-step explanation:

37 * 0.45 = 16.65

3 0

3 years ago

Read 2 more answers