To solve 493x = 3432x+1, write each side of the equation in terms of base

Answer:

Use trigonometric ratio

Step-by-step explanation:

Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle

To solve for one of the two unknown lengths, use trigonometric ratio

There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)

Sine of the angle given = opposite side ÷ hypotenuse side

Cosine of the angle given = adjacent side ÷ hypotenuse side

Tangent of the angle given = opposite side ÷ adjacent side

Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal

To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given

If you are drawing only one marble then the probability of getting red and blue simultaneously is zero.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The Sum of all marbles in the bag is

8  +   4  +  5  =   17.

The Sum of red and blue marbles is

8  +  5   =   13.

Now, because you are picking only 1 marble it is impossible for it to be both red and blue. You would need to pick at least 2 marbles to have a chance that one is red and one is blue.

Therefore If you are drawing only one marble then the probability of getting red and blue simultaneously is zero.

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Answer:

Step-by-step explanation:Since B is the midpoint of AC, this means that AB and BC are equal in length, as the midpoint of a line segment divides it into two equal parts.

2. Let's assume that AB is not equal to BC. In this case, one of the line segments AB or BC would be longer than the other.

3. Since EB = BC, if AB is longer than BC, then EB would be shorter than AB. But since B is the midpoint of AC, EB and BC should be equal in length.

4. Similarly, if BC is longer than AB, then EB would be longer than BC. But again, EB and BC should be equal since B is the midpoint of AC.

5. Since assuming AB is not equal to BC leads to contradictions, our assumption is false. Therefore, AB must be equal to BC.

The scale factor of the dilation is option (C) 3/2 is the correct answer.

What is transformation of dilation?

Dilation is a kind of transformation in which an object is resized based on a scale factor. Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape.

For the given situation,

The diagram shows the triangle TUV and the dilated triangle T'U'V'.

In the plane, V is at 4.8 units and V' is at 3.2 units.

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

⇒

⇒

From the options the value that has 1.5 as the value is .

Hence we can conclude that the scale factor of the dilation is option (C) 3/2 is the correct answer.

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