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3 years ago

Name the property of equality that justifies the statement: rs = rs

Mathematics

2 answers:

marishachu [46]3 years ago

7 0

Answer:

reflexive property

Step-by-step explanation:

a. reflexive property

For example a=a . both sides should be equal

$rs=rs$ represents reflexive property

b. symmetric property

For example : if a=b+c then b+c=a

$rs=rs$ does not represents symmetric property

c. transitive property

For example , if c=b and b=4 then c=4

$rs=rs$ does not represents transitive property

d. substitution property

for example if x=12+y and y =2

then x= 12+2=14

$rs=rs$ does not represents substitution property

harkovskaia [24]3 years ago

6 0

A. reflexive property
hope it helps.

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Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩

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In this case, the following values are found in both set A and set B
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3 years ago

What is the sum of the first 100 terms of the sequence 4,9,14,19, ...?

Nadya [2.5K]

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

$S = \frac{n}{2} * (2a + (n - 1) * d)$

If we plug in our values, we have:

$S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)$

S = 50 * (8 + 495) = 50 * 503 = 25150

8 0

3 years ago

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