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3 years ago

Classify each pair of angles listed below as adjacent or vertical.

Mathematics

1 answer:

Roman55 [17]3 years ago

5 0

Given:

Intersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

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In the equation 4y +-9 =-36, is the solution y = -4 correct? True or false?

Artist 52 [7]

Answer: False
Explanation: 4(-4) + (-9)=-36, 4•-4= -16 - 9= -25 not -36

6 0

3 years ago

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A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon

allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: $y=e^{kx}$ , where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

$7\%=\frac{7}{100}=0.07$

Upon substituting our given values we will get exponential function for bacteria growth as: $y=2,000*e^{0.07x}$ , where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

$6,000=2,000*e^{0.07x}$

Let us divide both sides of our equation by 2,000.

$\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}$

$3=e^{0.07x}$

Let us take natural log of both sides of our equation.

$\text{ln}(3)=ln(e^{0.07x})$

$\text{ln}(3)=0.07x$

$1.0986122=0.07x$

$x=\frac{1.0986122}{0.07}$

$x=15.69446\approx 15.69$

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.

3 0

3 years ago

-5x+7+2x-13<9 Please Explain

olganol [36]

Ok the answer is -5 less than 9 which is true lol

Anyways here’s how I got the answer

-5+7+2x-13 less than 9

Combine like terms in this case it’s -5 and 2, and the other is 7 and -13

-5+2= -3
7-13= -6

Ok now that that’s done here’s the next step

-3x-6 less than 9 solve it

-3x-6 < 9
+6< +6

-3x < 15

Now from there you divide then so
-3x/3 cancels out, and 15/-3 = -5
X=-5

And so -5<9 :) hope this helped!! I will also include a picture of my work (please exult messiness lol)

8 0

3 years ago

) Elise has put 5 cans (all of the same size) on her kitchen counter; 2 cans of vegetables, 2 cans of soup , and 1 can of peache

Anvisha [2.4K]

Answer:

0.7 = 70%.

Step-by-step explanation:

There are 5 cans, and she will pick 2, so the number of possibilities that she can pick 2 cans is a combination of 5 choose 2:

C(5,2) = 5!(3!*2!) = 5*4/2 = 10

To find how many possibilities there are with at least 1 can of soup, we can find the number of groups that include no cans of soup, and then see how many possibilities complete the total 10:

There are 3 "no-soup" cans, so the number of possibilities is a combination of 3 choose 2:

C(3,2) = 3!/2! = 3

So, there are 3 possibilities that have no cans of soup, so the number of possibilities that have at least 1 can of soup is 10 - 3 = 7

Then, the probability is 7 / 10 = 0.7 = 70%.

4 0

3 years ago

A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds),

Ivenika [448]

Answer:

pen

Step-by-step explanation:

fddefefgerf

6 0

3 years ago

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