Solve for n: 2n - 4 < 16

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

Answer:

x=2√2-6, -2√2-6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps.

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

Answer:

It is a not a Function.

Because one number has two arrows pointing to two different numbers.

Answer:

No

Step-by-step explanation:

(the image is fuzzy so you can't really see the lines)

It seems that when x = 1, f(x) is both 4 and 5.

While two different x values can equal the same y value, one single x value cannot be equal to more than one value.

If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.

Answer:

Step-by-step explanation:

A

Answer:

the same type of skin on your lips is the same type of skin on you bo- it wont let me say it haha

Answer:

What's the best thing about Switzerland.

Answer:

I don't know, but the flag is a big plus.

Step-by-step explanation:

Answer:

20.52

Step-by-step explanation:

I used a calculator

Answer:

448000

Step-by-step explanation:

First 10^4 is just 10*10*10*10=10000

44.8*10000 = 448000

Hope this helped!!

Answer:

4.48 x 10^5

Step-by-step explanation:

44.8 x 10000 = 448000 = 4.48 x 10^5

Answer: 28

Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28

Answer:

the answer is D $28

Step-by-step explanation:

Answer:

79.990 is a decimal

Answer: x < 5/4

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

Answer:

The answer is 144.

Step-by-step explanation:

The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.

Answer:

1,600,000

Step-by-step explanation:

Answer:

1001600

Step-by-step explanation:

Answer: 1,073,741,824,000 amebas

Step-by-step explanation:

Bipartición significa que la población de amebas se duplica cada día.

Entonces si inicialmente hay 1000, después de un día van a haber:

2*1000.

Después del segundo día se vuelven a duplicar, entonces van a haber:

2*(2*1000) = (2^2)*1000

Después del tercer día, lo mismo:

2*(2^2)*1000 = (2^3)*1000.

A esta altura ya se puede ver el patrón, podemos concluir que después de N días, la población de amebas va a ser:

P(N) = (2^N)*1000.

Entonces respondiendo a la pregunta:

¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo?

Tenemos que tomar N = 30

P(30) = (2^30)*1000 = 1,073,741,824,000 amebas

Answer:

0.013333333333333

Step-by-step explanation:

short answer  would be 0.013 i think lol

Hi! I believe your answer is $0.25 (twenty-five cents). There are 3 feet in a yard, so in 2 yards, there are 6 feet. If we want to know the cost per foot, we need to divide 1.50 by 6. The quotient is 0.25, or $0.25 per foot. I hope this helps you! Good luck and have a great day/night. ❤️✨

Answer:

the answer is d. x >=4

Answer:

Step-by-step explanation:

100=10+5x  x is the hours she needs to babysit

90=5x

x=18

She needs to babysit for 18 hours at $5 an hour if she already has $10

If im right give me brainliest

Answer: 154

Step-by-step explanation: 22 represents days 7 represents miles he walks a day i think you to have to multiply. 22 times 7 is 154  

Answer:

y= -.5x+2

Step-by-step explanation:

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Answer:

The 2nd one/Green

Step-by-step explanation:

A plane figure with five straight sides and five angles.

Answer:

D. 76

Step-by-step explanation:

200x5%=10

300x7%=21

500x9%=45

10+21+45=76