All categories

4 years ago

Find the missing segment.

Mathematics

1 answer:

Bond [772]4 years ago

3 0

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

$\frac{9}{9+3} =\frac{21}{21 + ?}$

$\frac{9}{12} =\frac{21}{? + 21}$

$\frac{3}{4} =\frac{21}{? + 21}$

$\frac{1}{4} =\frac{7}{? + 21}$

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

You might be interested in

You have 6 liters of paint to share evenly among you and your 4 brothers.

Assoli18 [71]

6/4 = 1.5 liters of pain per brother

5 0

3 years ago

If the length of gg is 18 units what is the value of x

kati45 [8]

Mi no espeak math,yo no comprende

3 0

3 years ago

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

Viktor [21]

Answer:

Therefore $k= \frac{ln2 }{18}$ , A=184

Step-by-step explanation:

Given function is

$T(t)=230 -e^{-kt}$

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

$138=230 -Ae^{-k\times 18}$

$\Rightarrow -Ae^{-18k}=138-230$

$\Rightarrow Ae^{-18k}=92$ .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

$184=230-Ae^{-k\times 36}$

$\Rightarrow Ae^{-36k}=230-184$

$\Rightarrow Ae^{-36k}=46$ .......(2)

Dividing (2) by (1)

$\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}$

$\Rightarrow e^{-18k}=\frac{46}{92}$

Taking ln both sides

$ln e^{-18k}=ln\frac{46}{92}$

$\Rightarrow -18k =ln (\frac12)$

$\Rightarrow -18k= ln1-ln2$

$\Rightarrow k= \frac{ln2 }{18}$

Putting the value k in equation (1)

$Ae^{-18\frac{ln2}{18}}=92$

$\Rightarrow A e^{ln2^{-1}}=92$

$\Rightarrow A.2^{-1}=92$

$\Rightarrow \frac{A}{2}=92$

$\Rightarrow A= 92 \times 2$

⇒A= 184.

Therefore $k= \frac{ln2 }{18}$ , A=184

7 0

3 years ago

Can anyone please help me?

sasho [114]

Answer: I can't see if

Step-by-step explanation: Hope this notifys u

6 0

3 years ago

Read 2 more answers

g Define simple random sampling. Choose the correct answer below. A. Simple random sampling is the process of obtaining a sample

swat32

Answer:

C. A sample of size n from a population of size N is obtained through simple random sampling if every possible sample of size n has an equally likely chance of occurring. The sample is then called a simple random sample.

Step-by-step explanation:

Simple Random Sampling is the sampling where samples are chosen randomly, where each unit has an equal chance of being selected in a sample.

Option A is incorrect as the size of the sample and size of the population is not the same generally if it does happen then there will be no difference between sample and population.

Option B is incorrect as Simple Random Sampling is not a chance it is a way that samples can be taken.

Option D is incorrect as when samples are taken using a convenient sample then it is called Convenient Sample, not Simple Random Sample.

Thus, only option C is correct.

3 0

3 years ago