All categories

2 years ago

Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.

Mathematics

1 answer:

lisov135 [29]2 years ago

7 0

Try this solution (note, the length of midsegment is (KG+FL)/2), all the details are in the attachment.

Answer is marked with green colour.

You might be interested in

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?

Airida [17]

Answer:

$\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

Step-by-step explanation:

We know that for any two function f(x) and g(x) ,

$\dfrac{f}{g}(x)=\dfrac{f(x)}{g(x)}$

Given functions : $r(x)=3x-1$ and $s(x)=2x+1$

Then, $\dfrac{r}{s}(x)=\dfrac{r(x)}{s(x)}$

$\Rightarrow\ \dfrac{r}{s}(x)=\dfrac{3x-1}{2x+1}$

At x= 6 , we get

$\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

The , The expression is equivalent to $\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

When we further simplify it , we get $\dfrac{r}{s}(6)=\dfrac{18-1}{12+1}=\dfrac{17}{13}$

5 0

2 years ago

Shamir is trying to decide between two cities to travel to

Soloha48 [4]

Answer:

my life sucks so its 3475

Step-by-step explanation:

7 0

2 years ago

For a set population, does a parameter ever change? sometimes always unknown never if there are three different samples of the s

Levart [38]

For a set population, does a parameter ever change?

Answer: For a set population, a parameter never change.

Because while computing the parameter each and every unit of the population is studied. Therefore, we can not expect a parameter to vary.

If there are three different samples of the same size from a set population, is it possible to get three different values for the same statistic?

Answer: Data from samples may vary from sample to sample, and so corresponding sample statistic may vary from sample to sample.

Because while calculating the sample statistic, we consider only the part of population. Every time we draw a sample from population, there is every possibility of getting different sample. Therefore, data from samples may vary from sample to sample and corresponding sample statistic may vary from sample to sample.

5 0

2 years ago

An investment of P dollars increased to A dollars in t years. If interest was compounded continuously, find the interest rate. (

Gemiola [76]

Answer: the interest rate is 6%

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

A = $4482

P = 1000

t = 25 years

Therefore,

4482 = 1000 x 2.7183^(r x 25)

4482/1000 = 2.7183^25r

4.482 = 2.7183^25r

Taking ln of both sides, it becomes

Ln 4.482 = 25rLn2.7183

1.5 = 25r

r = 1.5/25 = 0.06

r = 0.06 × 100 = 6%

5 0

2 years ago

Suppose James randomly draws a card from a standard deck of 52 cards. He then places it back into the deck and draws a second ca

qwelly [4]

Answer:

1.92%

Step-by-step explanation:

The probability for first case, picking a queen out of deck, will be:

$\frac{4}{52}$

as there will be 4 queens in a deck, one of each suit.

For the second pick, the probability of picking a diamond card, will be:

$\frac{13}{52}$

here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).

Thus the net probability for both cases will be:

$P = \frac{4}{52} * \frac{13}{52}\\ P = \frac{1}{52}\\ P = 0.01923\\P = 1.923\%\\\\P = 1.92\%$

Thus total probability for the combined two cases will be 1.92%

7 0

2 years ago