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3 years ago

By which rule are these triangles congruent

Mathematics

1 answer:

zimovet [89]3 years ago

6 0

Answer:

B:ASA ( by Angle Side Angel )

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What is the solution to this equation? 3[x] - 1 = 8

Yanka [14]

Answer:

Step-by-step explanation:

The whole goal is to isolate the variable.

3x-1=8

1+3x-1=8+1 first add 1 to both sides of the equation to cancel out the -1

3x=9 now just divide 3 to both sides of the equation because the opposite of multiplication is division. So dividing 3 on both sides cancels out the 3 to isolate the x

3x/3=9/3

x=3

8 0

3 years ago

At the beginning of an experiment, a scientist has 300 grams of radioactive goo. After 150 minutes, her sample has decayed to 37

monitta

Answer:

Half-life of the goo is 49.5 minutes

$G(t)= 300e^{-0.014t}$

191.7 grams of goo will remain after 32 minutes

Step-by-step explanation:

Let $M_0\,,\,M_f$ denotes initial and final mass.

$M_0=300\,\,grams\,,\,M_f=37.5\,\,grams$

According to exponential decay,

$\ln \left ( \frac{M_f}{M_0} \right )=-kt$

Here, t denotes time and k denotes decay constant.

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\\\ln \left ( \frac{37.5}{300} \right )=-k(150)\\-2.079=-k(150)\\k=\frac{2.079}{150}=0.014$

So, half-life of the goo in minutes is calculated as follows:

$\ln \left ( \frac{50}{100} \right )=-kt\\\ln \left ( \frac{50}{100} \right )=-(0.014)t\\t=\frac{-0.693}{-0.014}=49.5\,\,minutes$

Half-life of the goo is 49.5 minutes

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\Rightarrow M_f=M_0e^{-kt}$

So,

$G(t)= M_f=M_0e^{-kt}$

Put $M_0=300\,\,grams\,,\,k=0.014$

$G(t)= 300e^{-0.014t}$

Put t = 32 minutes

$G(32)= 300e^{-0.014(32)}=300e^{-0.448}=191.7\,\,grams$

7 0

3 years ago

How to simplify each expression<br> 2/3(7w + 4) - 1/3 (2w - 1 )<br><br> (3-7m) +2(3.5m+ 1)

rewona [7]

14 w /3 + 8/3 - ( 2/3w -1/3 ) =
14w/3 + 8/3 -2/3 w +1 /3 =

12w /3 + 9/ 3 = 3 ( 4w +3) / 3 = 4w +3

the second
3-7m +7m+ 2 = 5

3 0

3 years ago

What is the reason for statement 3, statement 4, and statement 5?

ddd [48]

Can you repost a new image that one is blurry

8 0

3 years ago

Write an inequality that represents the graph below.

Eduardwww [97]

Answer:

x ≤ -2

Step-by-step explanation:

The arrow is going left meaning. It is less than -2. A closed dot means "or equal to". A open dot means" greater than/less than"(normal).

You can ask me to explain further if you need me to!! :)

3 0

3 years ago