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3 years ago

10

How do i do this problem?

2 answers:

Helga [31]3 years ago

5 0

Each straight line is 180 degrees, keep that in mind! subtract 150 from one side (subtract it from 180) and the other side must at most be the remaining degrees out of the 180 total.

Nikolay [14]3 years ago

4 0

In part A, the angles are Vertical Angles and are, therefore, congruent. This means you set them equal to one another and solve for X.
$3x + 5 = 5x - 57$
$62 = 2x$
$31 = x$
For part B, the angles are supplementary angles which means they equal 180 degrees.
$(4x + 150) + (2x) = 180$
$6x + 150 = 180$
$6x = 30$
$x = 5$

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(06.01) In the below system, solve for y in the first equation. x + 3y = 6 2x − y = 10 one thirdx + 2 negative one thirdx + 6 −x

NISA [10]

we have that

x + 3y = 6 -------> first equation

2x − y = 10

x + 3y = 6-----> substract x both sides

-x+x+3y=6-x

3y=6-x-----> divide by 3 both sides

y=(6-x) /3

y=2-(x/3)

y=-(x/3)+2

therefore

the answer is

negative one thirdx + 2

5 0

3 years ago

What is 5/8 to nearest whole number

disa [49]

Answer: 1

Step-by-step explanation:

The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.

3 0

3 years ago

Read 2 more answers

Pleaseeeee help me thank you

Lera25 [3.4K]

1) 3^3 * 4^3 = 12^3
2) 3^4 * 3^3 = 3^7
3) 3^4 * 4^3 = 12^12
They are all equal.

6 0

3 years ago

Read 2 more answers

Solve for x.<br> z=(x-7)k

aliya0001 [1]

Answer:

$x=\frac{z}{k}+7$

Step-by-step explanation:

we have

$z=(x-7)k$

solve for x

That means ----> isolate the variable x

Divide by k both sides

$\frac{z}{k}=x-7$

Adds 7 both sides

$\frac{z}{k}+7=x$

Rewrite

$x=\frac{z}{k}+7$

5 0

3 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...<em>rationalizing </em>

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...<em>taking 2 as a common factor</em>

<em>⇒ </em> $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As<em>, </em> $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

<em>⇒ </em> $cos(45-60)=\frac{( 1.41+2.44)}{4}$ <em />

<em>⇒ </em> $cos(45-60)=\frac{( 3.85)}{4}$ <em />

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago