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2 years ago

Given m | n, find the value of x. m n 68 (6x+8)

Mathematics

2 answers:

BARSIC [14]2 years ago

4 0

Answer:

As 6x+8 = 68

=> x = 10

Hope it helps

insens350 [35]2 years ago

4 0

By question it's given that m || n . So here we can use the properties of parallel lines . One of them which we will use here is ,

corresponding angles are equal .

Here the two given angles are corresponding angles hence they will be equal. We create them in order to find the value of x.

$\sf\implies 68^o = 6x + 8^o \\\\\\\sf\implies6x = 68^o - 8^o\\\\\sf\implies 6x = 60^o \\\\\\\sf\implies x = 60^o/6 \\\\\\\sf\implies \boxed{\red{ \sf x = 10^o }}$

Hence the value of x is 10° .

You might be interested in

What is a positive angle less than 360 degrees that is conterminal with -289 degrees

wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis

When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis

To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0

3 years ago

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Damm [24]

The answer is 162in2 to its orbit

6 0

2 years ago

Min is twice as tall as her brother . If min is 5feet 3 inches tall how tall is her brother

liubo4ka [24]

5’3 is 63 inches since her brother is 1/3 larger so 63/3= 21 inches

3 0

3 years ago

Monique makes $11 per hour delivering pizzas. Monique works Monday

Ilya [14]

Answer:

x > 39 hours

Step-by-step explanation:

Let x be the number of hours she worked.

11x - is how much she would get paid for working for x hours

11x + 20 > 450

11x > 430

x > 39 hours

Hope that helped!!! k

8 0

3 years ago

If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?

Ira Lisetskai [31]

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

$m\angle B=\sin ^{-1}(\dfrac{m}{n})$

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

$Area=\dfrac{1}{2}\times base\times h$

Where, b is the base and h is the height of the triangle.

$Area=\dfrac{1}{2}\times a\times h$

The area of the triangle ABC is D.

$D=\dfrac{1}{2}\times a\times h$

$2D=ah$

$\dfrac{2D}{a}=h$ ...(i)

In a right angle triangle,

$\sin \theta =\dfrac{Perpendicular}{Hypotenuse}$

$\sin B =\dfrac{h}{c}$

$\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}$ [Using (i)]

$\sin B =\dfrac{2D}{ac}$

$m\angle B =\sin ^{-1}\dfrac{2D}{ac}$ ...(ii)

We have,

$m\angle B=\sin ^{-1}(\dfrac{m}{n})$ ...(iii)

On comparing (ii) and (iii), we get

$m=2D$

$n=ac$

Therefore, the required values are $m=2D, n=ac$ .

6 0

3 years ago