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3 years ago

Solve the system of inequalities: 3x-10<0 2x>0 HELPPP WILL MARK BRAINLIEST

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

7 0

Answer: <0<x<10/3

Step-by-step explanation:

son4ous [18]3 years ago

4 0

Answer:

<u>Solve each inequality and combine solutions:</u>

3x - 10 < 0 ⇒ 3x < 10 ⇒ x < 10/3
2x > 0 ⇒ x > 0

<u>Combination of the two is:</u>

0 < x < 10/3

x ∈ (0, 10/3)

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Step-by-step explanation:

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2 years ago

Solve the equation 1/2x=5/2x-3

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3 years ago

Read 2 more answers

1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)

olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

The rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$
The rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$ .
The rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

$(x,y) \to (x,-y)$

So, a rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

$(x,y) \to (0.5x,0.5y)$

So, a rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .