On line l, m∠p = 21x +25 and m∠n = \{675x\:-27}/3 Use this information to answer Part A & B below. Part A: Determine the value of x. Part B: Determine the measure of ∠p and ∠n in degrees. p = n =

Answers

Answer 1

Answer:

a) x = 492/738

b) m<p = 39°

   m<n = 141°

Step-by-step explanation:

Find the diagram attached

a) The sum of angle on the straight line l is 180degrees

m<n + m<p = 180 degrees

Given

<p = 21x+25

<n = (675x-27)/3

Substitute the given values into the formula

(675x-27)/3 + 21x+25= 180

[(675x-27+3(21x+25))]/3 = 180

675x-27+63x +75 = 180*3

675x+63x-27+75 = 540

738x+48 = 540

738x = 540 - 48

738x = 492

x = 492/738

b) m<p = 21x+25

m<p = 21(492/738) + 25

m<p = 14+25

m<p = 39°

Recall that m<p + m<n = 180

m<n = 180-m<p

m<n = 180 -39

m<n = 141°

On Line L, Mp = 21x +25 And Mn = \{675x\:-27}/3 Use This Information To Answer Part A &amp; B Below.

Related Questions

Q6. Solve
4x + 3y = 5
2x + 3y = 1
Your answer

What does x equal and what does y equal

Answers


4x + 3y = 5...(1)
2x + 3y = 1...(2)

(2)*2:
4x+6y=2...(3)

(1)-(3):
4x+3y-(4x+6y)=5-2
4x+3y-4x-6y=3
-3y=3
y=-1

By sub. y=-1 in (2), we have
2x+3(-1)=1
2x-3=1
2x=4
x=2
The solution is x=2,y=-1

Answer:

(2,-1)

x=2

y=-1

Step-by-step explanation:

Which system of inequalities has no solution?

A. y < 2x − 44
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6

Answers

Answer:

My answer is letter d

Step-by-step explanation:

Sorry when im wrong

Answer:

B

Step-by-step explanation:

GRRRHRGR H.C DGDVFVDVECDEC

factor completely 2x^2+10x+12

Answers

Answer:2(x+2)(x+3)

Step-by-step explanation:

First we have to take out the 2 in the equation

2(x^2+5x +6)

Then we can factor that

2(x+2)(x+3)

negative 24 divided 15

Answers

Answer:

-1.6

Step-by-step explanation:

In the following figure, the value of x is...

Answers

Answer:

8.3

Step-by-step explanation:

You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?

Answers

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.



At the end of 6 years, the balance was $3,025. What is the interest rate on this account?

Answers

The percent is 5.25%

The interest rate on Mia's account is 20.17%.

What is the simple interest?

The borrowing amount is just the principal amount multiplied by the simple interest rate.

Given, Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.

The formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100 ,

Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.

We have, P = $2500 T = 6 years, S.I. = $3025

Substituting all the values in the formula;

3025 = 2500 x 6 x R / 100

R = 3025 x 100 / 15000

R = 20.17%

Therefore, the interest rate is 20.17%.

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Solve the system by substitution.
y = -6x
y = -4x + 4

Answers

Answer:

x=-2 y =12

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

−6x=−4x+4

Solve

−6x=−4x+4

x=−2

y= 12

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,12)

The result can be shown in multiple forms.

Point Form:

(−2,12)

Equation Form:

x=−2,y=12

I need this done! Decent amount of points! And chance of Boeing marked brainleist! O:

Answers

Answer:63

Step-by-step explanation:

I know this its 63

Answer:

Step-by-step explanation:

a)   21 divided by 3 = 7

       answer = 7

b)21+21=42

      answer = 2

c) 7+6 = 13

   answer = 7

d) I don't know or it could be -8-8= -16   (I am not sure)

e) 3 x 30= 90

  answer= 90

f)-7-6 = -13

answer= -13

Question 1:
Calculate the mean, median, mode
from the following data.
85,96,76,108,85,80,100,85,70,95

Answers

Answer:

Mean=88

Median=85

Mode=85

Mean :88
Median :85
Mode 85

GIVING BRAINLIEST

The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?

Answers

jackson

Step-by-step explanation:

Jackson because it’s -4 and 3

7. Which equation is graphed below?
A. y = x + 1
B. y = |x|
C. y = [x]+1
D. y =[x]

Answers

Answer:A. I hope this helped you.
Answer A

Set by step explanation: ....

what is 3 times 4 time 20

Answers

240 is the answer

Step-by-step explanation:

3x4=12

12x20=240

Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell before he gets home?

Answers

Answer:

yes

Step-by-step explanation:

Even after 5 minutes, it will still take Darnell 27 more minutes to get home. If Hector can make it in 24 minutes, then he can catch up to Darnell before he gets home.

The point (12.-5) is
how many units away from the origin

Answers

Answer: it 13 units

Let M (-12, 5) be the given point and O (0, 0) be the origin. = 13 units.

Step-by-step explanation:

hope this helps have a nice night ❤️❤️❤️❤️

1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)

Answers

Answer:

a.)x² + y² = 900

b.)y = √900 - x²

Step-by-step explanation:

P.S - The exact equation is as follows :

As given,

The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.

a.)

Equation of circle be x² + y² = r²

As given , leg of the roller coaster is 30 feet above the ground.

⇒ r = 30

⇒x² + y² = 30²

⇒x² + y² = 900

∴ we get

Equation of height of Roller coaster - x² + y² = 900

b.)

As we have,  x² + y² = 900

⇒y² = 900 - x²

⇒y = √900 - x²

The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]

The general equation of a circle is:

[tex]x^2 + y^2 = r^2[/tex]

From the complete question, the radius of the circle is 30 units.

This means that:

r = 30

So, we have:

[tex]x^2 + y^2 = 30^2[/tex]

Express 30^2 as 900

[tex]x^2 + y^2 = 900[/tex]

Subtract x^2 from both sides

[tex]y^2 = 900 -x^2[/tex]

Take square roots of both sides

[tex]y = \pm \sqrt{900 -x^2[/tex]

Remove the negative root

This is so because the roller coaster is above the ground, and the height will be positive.

So, we have:

[tex]y = \sqrt{900 -x^2[/tex]

Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]

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pls help <3 i mean i’m sure it’s easy but i don’t know what to write.

Answers

Circumference/Diameter = pi = 3.14
C/D = pi = 3.14

4. Isaiah wants to save up money to buy new Nikes. He already has $40 in
the bank. He works a night job for $7.50 an hour. Write an equation that
represents how much money Isaiah will have in the bank, m, based on the
number of hours he works, h. *
Your answer
!
This is a required question

Answers

Answer:

£976

Step-by-step explanation:

If y varies directly as x, and y =6 when x =10, find x when y=18

Answers

Answer:

X=30

Step-by-step explanation:

y=kx

6=10k

k=0.6

y=0.6x

18=0.6x

X=18/0.6

x=30

The value of x when y = 18 is 30.

What is Direct Variation?

Direct variations are defined as the functions of the form y = kx, where k is a constant.

Here when y increases, x increases and if y decreases, x also decreases.

Given that y varies directly as x.

That is the equation relating y and x can be written as,

y = kx, for some constant k.

Given that,

When x = 10, the value of y = 6.

Substitute in the equation.

6 = 10k

k = 6/10 = 3/5

Now we have to calculate the value of x when y = 18.

Substitute the found values and given values in the equation.

18 = (3/5) x

x = (18 × 5) / 3

x = 30

Hence the value of x is 30 when y = 18.

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On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?

Answers

Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]

Step-by-step explanation:

Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]

Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]

Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]

[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]

Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]

please help me on this will give you brainliest

Answers

Answer:

Step-by-step explanation:

m<2= 69 degrees

m<1 and m<3 = 21 degrees

You're making deliveries and can travel 484 miles on 22 gallons of gas. How far can
you travel on 38 gallons of gas?

Answers

836, because 484 divided by 22 is 22, so each gallon can do 22 miles. 38 times 22 is 836.

-2.75 + 8.25 shown work pls

Answers

Answer:

5.5

Step-by-step explanation:

Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.

jack finds this list of ingridents needed to make 20 muffins. To make 20 muffins you need 220ml milk, 250g castel sugar, 400g flour.
Jack has these ingridents : 1 litre of milk, 750g caster sugar and 1.5kg flour. Work out the greatest number of muffins Jack can make with his ingridents!

Answers

Answer:

60 muffins

Step-by-step explanation:

Find out how much ml you need for each ingredient.

20 muffins =

220 ÷ 20 = 11 (milk)

250 ÷ 20 = 12.5 (castel sugar)

400 ÷ 20 = 20 (flour)

Find out the greatest number of muffins Jack can make.

1 litre = 1000 ml

1000 ÷ 11 = 90.90 (recurring decimal) (milk)

750 ÷ 12.5 = 60 (castel sugar)

1500 ÷ 20 = 75 (flour)

Find the smallest answer out of the 3 questions.

Factorise.
5a - 25a^3

Answers

Answer: 5a(1- 5a^2)

Simplify the expression -2 (x + 4 + 5y).

Answers

-2x-8-10y hope that helps

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?

Answers

Answer:

1/8 cup left

Step-by-step explanation:

Starts with 7/8

Uses 1/2 which equals 4/8

Then uses another 1/4 which equals 2/8

4/8+2/8 is 6/8 so he uses 6/8 of olive oil

He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8

Name all the sets of numbers to which each real number belongs. Check all that apply. 4/7

Answers

Answer:

What are you talking about .

Step-by-step explanation:

factorise for 4x + 2​

Answers

Answer:

2(2x + 1)

Step-by-step explanation:

4x = 2 * 2x

2 = 2 * 1

To keep it simple this would be the factored answer

2(2x+1)

2-10n more math homework :|

Answers

Step-by-step explanation:

Yea we need more information.

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