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3 years ago

Find the value of x

Mathematics

2 answers:

ycow [4]3 years ago

8 0

Answer:

x = 20

Step-by-step explanation:

Each side would be 60. 60/3 would be 20. So x = 20

blsea [12.9K]3 years ago

6 0

Answer:

x = 20

Step-by-step explanation:

Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.

You might be interested in

If k/3 – 9 = 12, what is the value of k?

Ivahew [28]

Answer:

k = 63

Step-by-step explanation:

k/3 - 9 = 12

isolate variable + 9 both sides

k/3 = 21

multiply both sides by three, therefore

k = 63

check:

63/3 - 9 = 12

21 - 9 =12

12 = 12

hope this helps!

7 0

3 years ago

Use the given information to write the equation of each line

Pachacha [2.7K]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (1, -4) and (-2, 5).

Substitute:

$m=\dfrac{5-(-4)}{-2-1}=\dfrac{5+4}{-3}=\dfrac{9}{-3}=-3$

Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:

$-4=-3(1)+b$

$-4=-3+b$ add 3 to both sides

$-4+3=-3+3+b$

$-1=b\to b=-1$

Finally:

$y=-3x-1$

5 0

3 years ago

What 1/3 X 1/6 in simplest form?

Stolb23 [73]

1/18 would be your answer because 3 * 6 = 18. so 18 is your denominator. 1 * 1 is still 1 so that would be your numerator. You cant simplify the numerator because it's a one and can't be simplified by any other number but 18 can be simplified but it wouldn't make sense to just simplify the denominator and not the numerator so It would stay as 1/18.

4 0

3 years ago

find the perimeter of the quadrilateral, 31 + (4x^2+8x) + (3x^2-5x+20) + (7x+30). if x=2, what is the perimeter

Westkost [7]

31 + (4*2^2 + 8*2) + (3*2^2 + 5*2 + 20) + (7*2 + 30) = 129

4 0

3 years ago

A rectangle has a length of 23 feet less than 10 times it’s width . If the area of the rectangle is 770 square feet find the len

Tresset [83]

Answer:

The length of the rectangle is 54 feet .

Step-by-step explanation:

Given as :

The Area of rectangle = 770 square feet

The length is 23 feet less than 10 times its width

I.e Let The length of rectangle = L feet

And The breadth of rectangle = B feet

According to question

Length = 10 times width - 23

Or , L = 10 × B - 23

or, L = 10 B - 23

Now, Since Area of rectangle = A = Length × Breadth

Or, A = L × B

Or, 770 ft² = ( 10 B - 23 ) × B

Or, 770 = 10 B² - 23 B

Or, 10 B² - 23 B - 770 = 0

Now, solving this quadratic equation to get the value of B

Or, B = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

or, B = $\frac{23\pm \sqrt{(-23)^{2}-4\times 10\times (-770)}}{2\times 10}$

Or, B = $\frac{-23\pm \sqrt{31329}}{20}$

Or, B = $\frac{-23 + 177}{20}$ , $\frac{-23 - 177}{20}$

∴ B = 7.7 , -10

So, The breadth of the rectangle = B = 7.7 feet

So, The length of the rectangle = L = ( 10 × 7.7 - 23 )

I.e L = 54 feet

Hence The length of the rectangle is 54 feet . Answer

6 0

3 years ago