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joja [24]
3 years ago
5

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

x = 21

Step-by-step explanation:

The sum the the interior angles of a triangle is 180°.

We know that the three angles of the triangle is 100°, x° - 4, and 3x°.

The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:

100 + x - 4 + 3x = 180

(I got rid of the degree signs because they are not necessary when finding x.)

Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.

100 + x - 4 + 3x = 180

Subtract 100 from both sides to get rid of the 100 on the left side.

x - 4 + 3x = 180 - 100

Simplify.

x - 4 + 3x = 80

Add 4 from both sides to get rid of the -4 on the left side.

x + 3x = 80 + 4

Simplify and combine like terms.

4x = 84

Divide 4 from both sides to get rid of the coefficient of 4 on the left side.

x = 84/4

Simply.

x = 21

The value of x would be 21.

x = 21

I hope you find this helpful. :)

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
olasank [31]

Answer:  a_n=2(5)^{n-2}

<u>Step-by-step explanation:</u>

The explicit rule for a geometric sequence is: a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}

The information provided is: a₁ = \dfrac{2}{5}  and  r = 5

a_n=\dfrac{2}{5}(5)^{n - 1}\\\\.\quad = 2(5)^{n-2}

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Step-by-step explanation:

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2 years ago
a contractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for
monitta

The equation of the location of the second street in standard form is

x + y = -6

Equation of the line:

The equation of the line represents the algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line can be formed with the help of the slope of the line and a point on the line.

The general form of the equation of a line with a slope m and passing through the point (x₁,y₁) is given as:

y = mx + b.

Where

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Given,

Point = ( -5 , -1)

Here we need to find the equation of the location.

For that, first we have to find the slope of the line,

Having two points in the format (x,y), the slope is given by the change in y divided by the change in x.

The equation of the street is parallel to the equation of the line in the graph, thus they have the same slope.

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And street 2 the equation is  

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solve for b by plugging in (-5,-1)

=> -1 =-(-5) +b

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=> b = -6

Now apply the value of b on the equation,

Then

=> y = -x -6

=> y + x = -6

So, the equation of the location is x + y = -6.

To know more about Equation of the line here.

brainly.com/question/2564656

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1 year ago
Six times a number decreased by eight is less than five times the number
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6n-8<5n  decreased means subtract

n-8<0

n<8

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