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2 years ago

Complete the missing reasons in the proof below

Mathematics

1 answer:

olga_2 [115]2 years ago

3 0

Reason 2 is the reflexive property. Which basically says "any segment is congruent to itself"

Reason 3 is SSS (side side side) congruence theorem. The first two pair of sides are provided in statement 1 (given) and the third pair of sides is from statement 2

Reason 4 is CPCTC which stands for: corresponding sides of congruent triangles are congruent. In short, if two triangles are congruent, then the corresponding pieces are. In this case, angle N corresponds to angle P. So because the triangles MPO and MNO are congruent, then angle N = angle P. Notice how angle N and angle P are the middle letter of the two sequences MPO and MNO

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What is 1/2-5/13.....

Lerok [7]

1/2 - 5/13 = 3/26 = 0.115

Because: 1/2 - 5/13 = 1 x 13 ÷ 2 x 13 - 5 x 2 ÷ 13 x 2 = 13/26 - 10/26

13/26 - 10/26 = 13 - 10 ÷26 = 3/26 or 0.115.

Hope helps-Aparri

4 0

2 years ago

Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0

2 years ago

Carla buys a dress for $20.00 she pays 7 percent sales tax .. How much does she pay for the dress with tax?

BaLLatris [955]

Answer:

Carla pays $21.4 for the dress with tax.

Step-by-step explanation:

Here we are given that :

Price of dress = $20

Sales tax = 7%

Price of dress with tax = $20 + 7% of 20

Price of dress with tax = 20+1.4 = 21.4

Price of dress with tax = $21.4

Carla pays $21.4 for the dress with tax.

4 0

2 years ago

291.87 irrational or rational

aliina [53]

291.87 is rational since the last (decimal) numbers aren't repeating.
If it was repeating (291.877777...) it would be irrational.

4 0

2 years ago

What's 26% of 600, I will give brainiest

Scrat [10]

Answer:

156

Step-by-step explanation:

Write 26% as

100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

100

of 600 =

100

× 600

Therefore, the answer is 156

If you are using a calculator, simply enter 26÷100×600 which will give you 156 as the answer.

4 0

1 year ago