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Nataliya [291]
3 years ago
7

What is the length of BC¯¯¯¯¯ ?

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

The length of BC is 17

Step-by-step explanation:

When we construct a triangle with the data, we will end up a  isosceles triangle.

In a isosceles triangle , we know that tow angles and two sides are equal

The questions states that

\angle b = \angle c

Then sides  AC  and AB  are also equal

On equation their values

2X - 8 =  X+9

2X = X + 9 +8

2X = X + 17

2X - X = 17

X =  17

The length of BC = X =  17

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drek231 [11]

Randy sells, in average, 460 vacuum cleaners per month.

<h3>How many vacuum cleaners does Randy sell each month?.</h3>

First, we know that Janice sells 690 units per year.

There are 12 months in a year, so the amount that she sells, in average, per month is:

J = 690/12 = 57.5

This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:

R = 8*57.5 = 460

This means that Randy sells 460 units per month.

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7 0
2 years ago
Logan is making bookmarks that contain flower petals. He has 95 petals. He uses 3 flower petals for each bookmark. What is the G
Tcecarenko [31]

Answer: The GREATEST number of bookmarks that Logan can make = 31.

Step-by-step explanation:

GIven: Total petals = 95

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= 95÷3

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i.e. The GREATEST number of bookmarks that Logan can make = 31.

5 0
3 years ago
Given that the product of 22 integers is equal to 1, prove that their sum is not equal to 0.
Kay [80]

1. If the product of these integers is to be 1, then all of them must be either 1 or -1.

2. Since the product is positive (+1), it must be that there are an *even* number of negative ones (-1), if any.

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4. But if there were 11 of each, that means the number of -1's would be *odd* and there's no way the product could be +1 (as stated in 2 above).

Hence, the sum is never 0, if the product of 22 integers is equal +1.

4 0
3 years ago
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