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3 years ago

If / and m are parallel, which pairs of angles are congruent

Mathematics

1 answer:

Artemon [7]3 years ago

4 0

Answer:

First option, Second option and Fourth option.

Step-by-step explanation:

We need to remember that:

1) Corresponding angles are located on the same side of the transversal (one interior and the other one exterior). They are congruent. Based on this, we can conclude that:

<em> -Angle 1 and Angle 3 are Corresponding angles. Therefore, they are congruent.</em>

<em> -Angle 2 and Angle 4 are Corresponding angles. Therefore, they are congruent.</em>

2) Alternate interior angles are between the parallel lines, and on opposite sides of the transversal. They are congruent.

Based on this, we can conclude that:

<em> Angle 3 and Angle 6 are Alternate interior angles. Therefore, they are congruent.</em>

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They currently give me 15 euros a week, but I have convinced my parents to raise it for me by 12%. What will be my weekly money

Nina [5.8K]

Answer:

16.80 euros.

Step-by-step explanation:

12% = 0.12

So it will now be 15 + 15 * 0.12

= 16.80.

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2 years ago

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5) Assume this is an acceleration graph, where the X axis represents time in seconds and the Y axis represent velocity in m/s. W

Stels [109]

Answer:

D) Acceleration is positive and increasing.

Step-by-step explanation:

In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:

$a=\frac{v}{t}$

where Δ V is the variation of velocity and Δ T is the variation in time.

The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).

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2 years ago

The table represents a logarithmic function f(x). Use the description and table to graph the function, and determine the domain

dusya [7]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

This is the set of input values on the table.

All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0

Using the inequality notation, the domain of the table is x > 0

<h3>How to determine the range?</h3>

From the table, the logarithmic function outputs all zero, positive and negative numbers.

This means that the range is the set of all real numbers i.e. -∞ to ∞

Using the inequality notation, the range of the table is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

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1 year ago

A plumbers bill is £463.20 plus VAT. The current rate of VAT is 20% what is the actual cost of work done

Jet001 [13]

Actual cost = bill + VAT*bill
= bill*(1 +VAT)
= £463.20*(1 +0.20)
actual cost = £555.84

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2 years ago

Evaluate -6(x-2y) when x= -3 and y= -5<br> a. -42<br> b. 80<br> c. -80<br> d. -16

Vinil7 [7]

Simply substitute x for -3 and y for -5, creating the equation shown below:

-6 (-3 - 2(-5) )
Now that you have your values set up, now you can do the math by starting off with Multiplying -2 by -5, which will get you 10.

Now that you have the parenthesis simplified in the parenthesis, you can use the distributive property by multiplying all the numbers with -6, like so:
-6(-3+10)= 18 - 60, which simplifies to -42, in which (A) is your answer.

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2 years ago

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