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faltersainse [42]
2 years ago
9

How is the process of dividing integers similar to the process of multiplying integers? Select your answer from the drop drown m

enu to complete the explanation. In both cases, if the signs of the initial numbers are the same, the answer will be [ Select ] . If the signs are different, the answer will be [ Select ] .
Mathematics
1 answer:
vladimir2022 [97]2 years ago
5 0

Answer:

In both cases, if the signs of the initial numbers are the same, the answer will be positive. If the signs are different, the answer will be negative

Step-by-step explanation:

Required

Signs of results of multiplication and division

If two non-zero numbers have the same sign, and they are multiplied together, the end result will be positive.

For instance:

2 * 4 = 8

2 and 4 are positive; so, 8 is positive

-2 * -4 = 8

-2 and -4 are negative; so, 8 is positive

If two non-zero numbers have different signs, and they are multiplied together, the end result will be negative.

For instance:

-2 * 4 = -8

-2 is negative, and 4 is positive; so, -8 is negative

2 * -4 = -8

2 is positive, and -4 is negative; so, -8 is negative

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Find the missing length. The triangles are similar.
hodyreva [135]

Answer:

182

Step-by-step explanation:

First, we can say that ∠ACB and ∠BCF are opposite angles because they are not next to each other and are formed by intersecting lines. Therefore, ∠ACB = ∠BCF

Next, angles correspond with the side opposite of it. This means that, for example, ∠ACB corresponds with line AB and ∠BCF corresponds with line BF. Because ∠ACB and ∠BCF are equal and the triangles are similar, we can say that their corresponding sides have a ratio with each other. Similarly, ∠CAB corresponds to CB, ∠ABC corresponds to AC, ∠CWV corresponds to CV, and ∠CVW corresponds to CB.

Because the triangle CVW is isosceles, we can say that the angles whose corresponding sides are equal are equal as well, so ∠CAB = ∠ABC and ∠CVW = ∠CVW. Next, because ∠ACB and ∠BCF are equal and correspond to each other, and the other two angles in each triangle are equal to each other, we can say that the other two angles must be equal. Another way of putting this is like this:

Say that x = ∠CAB. Then,

∠CAB + ∠ABC + ∠ACB = 180

x + x + ∠ACB = 180

2x + ∠ACB = 180

subtract ∠ACB from both sides

180 - ∠ACB = 2x

Similarly, if y = ∠CWV,

180 - ∠WCV = 2y. Therefore, 2y=2x and y=x, so ∠CAB = ∠ABC = ∠CWV = ∠CVW.

Given this, we can say that sides CV and CW correspond with BC and AC. This means that the ratio between, for example, CV and BC is equal to the ratio between CW and AC. Therefore,

CV/BC = CW/AC

84/182 = 84/?

Filling in the blank, 84/182 is equal to 84/182, so ? = 182

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