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natka813 [3]
2 years ago
11

on a number line the coordinates of x, y, z, and w are -6, -3, 1 and 4 respectively find the lengths of the two segments below t

hen tell whether they are congruent
Mathematics
1 answer:
exis [7]2 years ago
7 0

The lengths of the two segments below then tell whether they are congruent

YZ = 4

XW = 12

not congruent

This is further explained below.

<h3>What is a number line?</h3>

Generally, A number line is a depiction of a graded straight line that serves as an abstraction for real numbers, which are symbolized by the

Number lines are used in introductory mathematics. It is generally accepted that a real number may be assigned to each point on a number line and that each point can be assigned to a real number.

YZ = Z - Y = 1 -(-3) = 4

XW = W -X = 5 -(-7) = 12

Because the segments are not the same length, they cannot be considered congruent.

In conclusion, It is self-evident that segment YZ will not have the same length as segment XW since it is just a portion of the latter.

Read more about the number line

brainly.com/question/13189025

#SPJ1

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stiks02 [169]

Answer:

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Step-by-step explanation:

Create an equation to represent this, where x is the unknown number.

\frac{x}{4} + 6 = 18

Solve for x, by first subtracting 6 from both sides:

\frac{x}{4} = 12

Multiply each side by 4:

x = 48

So, the number is 48

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3 years ago
Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.
MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

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<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

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