All categories

2 years ago

Find the value of x that makes m ∥ n

Mathematics

1 answer:

lubasha [3.4K]2 years ago

8 0

Answer:

Step-by-step explanation:

When two lines are parallel, corresponding angles are equal.

Here,

m II n

5x + 13 and 143 are corresponding angles.

So,

5x + 13 = 143

Substract 13 on both sides,

5x = 143 - 13

5x = 130

Divide 5 on both sides,

x = 130 / 5

x = 26

You might be interested in

If BI=9 and HA=15, find the scale factor

inessss [21]

Answer:

5:3

Step-by-step explanation:

to find the scale factor you set up the proportion as 15/9 and reduce to 5/3

7 0

3 years ago

Solve the inequality.

Karolina [17]

The answer is c.g>-7

6 0

2 years ago

Which numbers is 50 divisible by 2 , 5 , 10 , 15

meriva

Answer:

2, 5, 10

Step-by-step explanation:

50 divided by 2 = 25

50 divided by 5 = 10

50 divided by 10 = 5

50 divided by 15 = NOT POSSIBLE

8 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,

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

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

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

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

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

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

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

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

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

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

3 0

2 years ago

Which expression is equivalent to the following complex fraction?

Sedbober [7]

Answer:

$\dfrac{2(y-2x)}{3y-5x}$

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

$\dfrac{\dfrac{2}{x}-\dfrac{4}{y}}{\dfrac{-5}{y}+\dfrac{3}{x}}=\dfrac{\left(\dfrac{2y-4x}{xy}\right)}{\left(\dfrac{-5x+3y}{xy}\right)}=\dfrac{2y-4x}{-5x+3y}\\\\=\boxed{\dfrac{2(y-2x)}{3y-5x}}$

8 0

2 years ago

Read 2 more answers