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KIM [24]
3 years ago
5

Do this pls 35 points

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

x = 68

Step-by-step explanation:

If you look at the triangle properly, it is a isosceles triangle where two legs are equal to each other.

The answer for x will be:

56 + 56 + x =180

112 + x = 180

x = 68

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140/1

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6 0
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Rina8888 [55]

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Given the point (1, 2) and a slope of 4, write the equation in point slope form.
vitfil [10]

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

5 0
3 years ago
Please help!! I need step by steps!! Thank you
alexandr402 [8]

Answer:

Part 1) The numbers are 22,24 and 26

Part 2) The value of x has no solution

Part 3) The value of x has no solution

Part 4) The value of x is x=-3.5

Step-by-step explanation:

Part 1)

Let

x ----> the first even number

x+2 ---> the second consecutive even number

x+4 ---> the third consecutive even number

we know that

2(x)=(x+2)+20

Solve for x

2x=x+22

2x-x=22

x=22

therefore

The numbers are 22,24 and 26

Part 2) we have

10x-5-2(x+7)=2(4-x)+10x

Distribute in the left and the right side to remove the parenthesis

10x-5-2x-14=8-2x+10x

Combine like terms

8x-19=8x+8

-19=8 -----> is not true

therefore

The value of x has no solution

Part 3) we have

-4x+5-1(x-4)=5x+5+4(1-3x)

Distribute in the left and the right side to remove the parenthesis

-4x+5-x+4=5x+5+4-12x

Combine like terms

-5x+9=-7x+9

-5x=-7x -----> is not true

therefore

The value of x has no solution

Part 3) we have

8-(9x+6)=5x+5+4(1-3x)

Distribute in the right side to remove the parenthesis

8-9x-6=5x+5+4-12x

Combine like terms

2-9x=-7x+9

9x-7x=2-9

2x=-7

x=-3.5

4 0
3 years ago
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