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4 years ago

A conjecture and the two-column proof used to prove the conjecture are shown.

Mathematics

2 answers:

Nonamiya [84]4 years ago

8 0

Answer:a=29939¥…§|3

Step-by-step explanation:

aliina [53]4 years ago

5 0

Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:

Statement Reason

1. K is the midpoint of segment JL Given

2. segment JK ≅ segment KL Definition of midpoint

3. L is the midpoint of segment KM Given

4. segment KL ≅ segment LM Definition of midpoint

5. segment JK ≅ segment LM Transitive Property of

Congruence

Explanation:

1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL, the statement follows from the very Definition of midpoint.

2. Second blank: you must add a given statement. The other given statement is segment KL ≅ segment LM .

3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is segment KL ≅ segment LM .

4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that segment JK ≅ segment LM.

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HELP meeeeee please

Rufina [12.5K]

Answer: a = 23, b = 21, c = 136

Step-by-step explanation:

8 0

3 years ago

A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What

Alenkasestr [34]

Hello!

The formula for volume of a rectangular prism is:

V = lwh

Let's convert the dimensions to decimals, and then use the formula to solve.

8 1/2 = 8.5 as a decimal.

7 = 7 as a decimal.

2 1/2 = 2.5 as a decimal.

Multiply:

V = 8.5 × 7 × 2.5

V = 59.5 × 2.5

V = 148.75

148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.

ANSWER:

The volume of the book is 148 3/4 inches cubed.

6 0

3 years ago

Read 2 more answers

Choice 3: Kyra makes $700.00 a week in her job. She did such a great job this week that she is going to get a 15% raise next wee

nikklg [1K]

Answer:

15/100 x 700 = 105

Step-by-step explanation:

Consider 15% as 15 because you always consider a percent out of 100, you can remember by the word 'cent' meaning 100.

You need to FIRST find out what the percentage is OF whenever coming across these types of problems.

And the keyword 'of' means to multiply.

5 0

3 years ago

Help!!!! And is the first on correct

ExtremeBDS [4]

2s+5≥49

First: Subtract 5 on both sides
You'll get: 2s ≥ 44
Last: Divide each side by 2 so your s would be alone
You'll get: s ≥ 22 <That would be your answer

HOPE THIS HELPS! ^_^

7 0

3 years ago

Lasers can provide highly accurate measurements of small movements. To determine the accuracy of such a laser, it was used to ta

sp2606 [1]

Answer: $p-value \approx 0.01$

Step-by-step explanation:

Hypothesis testing

$\\\left\{\begin{matrix}H_0 : \mu_0 =0\\ H_1: \mu_0 \neq 0\end{matrix}\right.\\$

For this problem, we need to use the t-student distribution to make inference about the data. We calculate the t-statistics as below:

$\bar{X} = 20\:\mu m\\S.E. = 60\:\mu m\\n=82\\t_{stat} = \frac{\bar{X}-\mu_0}{S.E/\sqrt{n}}=\frac{20-0}{60/\sqrt{82}}=3.0185$

Using a t-statistics table, or using the function TDIST in Microsoft Excel with $t_{stat} = 3.0185,\: df (degree\: of\: freedom) = 14 - 1 = 13$ with two-tailed distribution, we obtain $p-value \approx 0.01$ .

4 0

3 years ago