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3 years ago

LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO

Mathematics

2 answers:

Verizon [17]3 years ago

6 0

Answer:

Step-by-step explanation:

opposite sides of a parallelogram are equal . So,

NM = OL

2x + 5 = x + 10

2x - x = 10 - 5

x = 5

substitute the value of x

NM = 2x + 5

=2*5 + 5

=15

for NO also substitute 5 inplace of x

Pepsi [2]3 years ago

3 0

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A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

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Answer:

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Step-by-step explanation:

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3 years ago

The circumference of a circle is 19 pi meters. What is the radius in meters?

Sliva [168]

Answer:

<h3>Area of a circle in terms of radius:</h3>

Area = π·r^2 = 3.14·9.5^2 = 283.5 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d/2)^2 = 3.14·(19/2)^2 = 3.14·(9.5)^2 = 283.5 square meters(*)

Area of a circle in terms of circumference:

Area = C^2/4π = 59.69^2/4π = 3562.9/(4·3.14) = 3562.9/12.56 = 283.5 square meters(*)

(*) 283.52873698648 meters, exactly or limited to the precision of this calculator (13 decimal places).

Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Step-by-step explanation:

Hope it is helpful....

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3 years ago

The package of a particular brand of rubber band says that the bands can hold a weight of 7 lbs. Suppose that we suspect this mi

Nadusha1986 [10]

Answer:

The statement is True.

Step-by-step explanation:

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A one-sample test can be used to perform the analysis.

The hypothesis can be defined as follows:

H₀: The mean weight the rubber bands can hold is 7 lbs, i.e. μ = 7.

Hₐ: The mean weight the rubber bands can hold is less than 7 lbs, i.e. μ < 7.

The information provided is:

$n=36\\\bar x=6.6\ \text{lbs}\\\sigma=2\ \text{lbs}$

As the population standard deviation is provided, we will use a z-test for single mean.

Compute the test statistic value as follows:

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Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

$p-value=P(Z$

*Use a z-table for the probability.

The p-value of the test is 0.1151.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, it can be concluded that the mean weight the rubber bands can hold is 7 lbs.

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3 years ago