Sole the question l2l

What is m<3 ? M<6 is and m<8 is (x+5

larisa [96]

Answer:

m∠3 = 115 degrees

Step-by-step explanation:

angle 6 and angle 8 are on a straight line

we know that sum of angles on straight line is 180

therefore

m∠8 = x+5

m∠6 + m∠8 = 180

2x - 5 + x+5 = 180

=> 3x = 180

=> x = 180/3 = 60

Thus,

m∠6 = 2x-5 = 2*60 - 5 = 115

we know that for two parallel lines cut by a transversal

alternate opposite angles are equal

m∠6 and m∠3 are alternate opposite angles

thus

m∠6 = m∠3 = 115 (answer)

7 0

4 years ago

What's the factors for 375,66,33

gizmo_the_mogwai [7]

The factors of

375: 1; 3; 5; 15; 25, 75, 125, 375

66: 1; 2; 3; 6, 11, 22, 33, 66

33: 1, 3, 11, 33

3 0

3 years ago

What is equal to the opposite of a number a divided by another number b? select all that apply.

svet-max [94.6K]

The opposite of the number a divided by the number

4 0

4 years ago

If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams

Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

$N=N_0e^{-\lambda t}$

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

$\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34$ , t= 10

$N=N_0e^{-\lambda t}$

$\Rightarrow \frac {N}{N_0}=e^{-\lambda t}$

$\Rightarrow \frac34 =e^{-\lambda .10}$

Taking ln both sides

$\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|$

$\Rightarrow ln|\frac34|=-10\lambda$

$\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}$

Now , N₀= 512 grams, N= 121.5 grams, t=?

$N=N_0e^{-\lambda t}$

$\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}$

$\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}$

$\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|$

$\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}$

$\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}$

$\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}$

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0

4 years ago

During Tracy trip across the country , she traveled 2,884 miles. Her trip 7 days. Find a unit rate to respect the average miles

Vesnalui [34]

Answer:

412

Step-by-step explanation:

To Find a unit rate you must divide 2884 by 7 which gets u <u>412.</u>

3 0

3 years ago

Sole the question l2l​

Sole the question l2l