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Delicious77 [7]
2 years ago
10

Find the value of JN in the figure. ​

Mathematics
1 answer:
yarga [219]2 years ago
7 0

Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

\frac{JM}{JK} = \frac{JN}{JL} ( substitute values )

\frac{24}{33} = \frac{JN}{JN+12}

\frac{8}{11} = \frac{JN}{JN+12} ( cross- multiply )

11 JN  = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32

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A7-ft ladder is placed against a wall with its base 3 ft from the wall. How high above the ground is the top of the ladder? Roun
Firdavs [7]

Answer:

6.3 feet

Step-by-step explanation:

use pythagorean theorem

a² + b² = c²

a² + 3² = 7²

a² + 9 = 49

Subtract 9 from both side

a² = 40

Take the square root of both sides

a = 6.324555320336759

Rounded

a = 6.3

4 0
3 years ago
Caleb made a scale drawing of a neighborhood park. The scale of the drawing was
WITCHER [35]

Answer:

2:1 =36mm: x m

2/1 = 36mm/ m......(Criss cross)

36mm x 1M/2mm = 18 Meter

5 0
4 years ago
Solve the inequality for x. Show each step of the solution. <br><br> 13x &lt; 6(3x – 4) – 6
fredd [130]
13x < 18x -24 -6

13x < 18x -30

13x - 18x < -30

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4 0
4 years ago
One of the authors came across an article (USA Today, 2008) that said that on average Americans have visited 16 states in the Un
Daniel [21]

Answer:

1. a. Students

2. d. number of U.S. states visited, quantitative

3. a. H o: mu = 16, Ha: mu ≠ 16

4. (7.46,11.50)

Step-by-step explanation:

1. The researcher is interested in finding out the average number of states in US that the students have visited.

The unit that is being observed to arrive at that conclusion is the Students. The observational unit for this study is  a. Students.

2. The variable of interest from the information above is the number of U.S. states visited. The observations recorded for this variable are in numbers which are numeric in nature. This implies that the variable is quantitative in nature.

Therefore, the answe  is d. number of U.S. states visited, quantitative

3. To test whether the average number of states all students at the author’s school have visited,

The null hypothesis (H o) is always given as the negation statement/null of what we wish to test.

So, we wish to test that the average is different from 16. Therefore, the null would be that the average is 16.

Answer  is a. H o: mu = 16, Ha: mu ≠ 16

4. A  95% confidence interval for the average number of states all students at the author’s school have visited can be calculated using the formula:

x  bar + or - 2 √s/n

=9.48 + or - 2 × 7.13/ √50

= (7.46,11.50)

The 95% confidence interval for the average number of states all students at the author’s school have visited is (7.46,11.50). The average falls betw 7.64 and 11.50.

7 0
3 years ago
Start with -2 and you end with +7 what is the rule
nika2105 [10]
Add 9 because -2 to 7 equals 9 hope this helped


4 0
4 years ago
Read 2 more answers
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