A triangle has angle measures x + 15 , 3x − 35 , and 4x. Find the value of x

Answers

Answer 1
Because all triangle angle values add up to 180, you can set each of these equations equal to 180.

(x + 15) + (3x - 35) + (4x) = 180
3x + x + 4x = 200
8x = 200

Therefore, x = 25
Answer 2

Using the knowledge of the total sum of the internal angles of a triangle, the value of x would be 25

Recall :

A + B + C = 180° (Sum of the internal angles of a triangle)

Hence,

(x + 15) + (3x - 35) + 4x = 180

x + 15 + 3x - 35 + 4x = 180

8x - 20 = 180

8x = 180 + 20

8x = 200

x = 200 / 8

x = 25°

Therefore, the value of x is 25

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Related Questions

Guys please hurry up I need this answer

Answers

Bro I need the answer too we’re the same

x^2 - x + 6 = 0

how do I solve that?​

Answers

-23

Step-by-step explanation:

x2−x+6=0

Step 1: Find discriminant with a=1, b=-1, c=6.

b2−4ac

=(−1)2−4(1)(6)

=−23

Answer:

−23

Answer:

no solution

Step-by-step explanation

[tex]x^{2}-x+6=(x^{2}-2.\frac{1}{2}x+\frac{1}{4})+6-\frac{1}{4}=(x-\frac{1}{2})^{2}+\frac{23}{4}[/tex]

see : [tex](x-\frac{1}{2})^{2}\geq 0 => (x-\frac{1}{2})^{2}+\frac{23}{4}\geq 0+\frac{23}{4}>0[/tex]

but x² - x + 6 =0

=> it is unreasonable

nwjskjnsfnwkfdnmfdn gsdkjmcfnm vnndfjsngdrmdtnrnmdcvkjdfnvf

Answers

Answer:

nwjskjnsfnwkfdnmfdn gsdkjmcfnm vnndfjsngdrmdtnrnmdcvkjdfnvf

Step-by-step explanation:

Have a great day

Answer:

gshspisgsgushd surrfvereeers

Step-by-step explanation:

4)
The temperature dropped 3 degrees every hour for 3 hours. Write an expression and write an
integer to represent the total temperature change.

Answers

Answer:

I think the integer that represents the change in temperature is -15.

In what quadrant is the point (3, -4) located?

Answers

Answer:

quadrant IV

Step-by-step explanation:

In the image, these are where each quadrant is and labelled. If you plot ( 3,-4) on the grid, it will end up in quadrant IV.

HELPPPPP!!! FIND VALUE OF A PLEASE!!
WILL MARK BRAINLIEST!!
A line with a slope of -2 passes through point (2,5) and (-3,A)
What is A????

-10
10
-15
15

THANK UUU!!

Answers

Answer:

A=15

Step-by-step explanation:

slope=(A-5)/(-3-2)=-2

A-5=-2×-5=10

A=10+5=15

what is an evaluated expression for -7+6x-4x+3​

Answers

Answer:

-4+2x

Step-by-step explanation:

-7+3=-4

6x-4x=2x

Answer:

-4 + 2x

Step-by-step explanation:

-7 + (+3) = -4, which is why i included a -4 in the expression

6x - 4x = 2x, which is why i included a 2x in the expression

Use the figure for Exercises 13-15. Find the measure of the given angle.
112°
430
33°
1710
b
15. C
13. a
14. b

Answers

Answer:

a + 112 + 33 = 180 ( sum of interior angles of tria

or a + 145 = 180 - ngle is 180 degrees)

or a = 180 - 145

or a = 35 .

similarily,

c + 43 + 71 = 180

or c + 114 = 180

or c = 180 - 114

or c = 66 .

and ,

a + 71 + b = 180 ( sum of angles in straight line is or, 35 +71 + b = 180 180 degrees)

or , b + 106 = 180

or, b = 180 - 106

or, b = 74 .

Thank me later.

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

Answers

when finding the mean then add the numbers then divide them by the amount of numbers there are when finding the median find the middle number and if there is no middle number divide the 2 and that should be your mean

Answer:

The actual ages of all runners are needed to decide.

what is 67473 divided by 32

Answers

Answer:

2108.53 I think it's that lol

Its just the the page thats fully shown.

Note: Thank you so much for helping me out! xoxo

Answers

1) 5x-4= 11
2) 15+ 1/2x= 9
3) 7x-6= -20
4) 8+ 4x = -12
5) You have downloaded 415 songs. Your equation would be 9.99+ .25x = 113.74, and then you’d subtract 9.99 from both sides, getting you .25x = 103.75. Then you’d divide both sides by .25 to get your answer
6) She can afford 10 hours of lessons. 725= 475+ 25x, subtract 475 from both sides, leaving you with 250=25x. Then divide both sides by 25 to get your answer



I can’t read 7 and 8 very well, could you possibly get a better picture of those two?

A 10 foot ladder leans against a building that is 8 feet off of the ground. At what height would a 25 foot ladder touch the building if both ladders form the same angle with the ground?

Answers

Answer:

19.99feet

Step-by-step explanation:

The set up will form a right  angles triangle:

First we need to get the angle of elevation of the first ladder using SOH, CAH, TOA

The length of the ladder will be the hypotenuse = 10foot

The opposite will be the height of the building = 8ft

Using Sin(theta) = opposite/hyp

sin Theta = 8/10

theta = sin^{-1}0.8

theta = 53.13°

If the length of the ladder is now 25 foot, the height of the building will be calculated as shown;

sin Theta = h/25

sin53.13 = h/25

h = 25sin53.13

h = 19.99feet

Hence the height of the building will be 19.99feet

The double number lines show the ratio of yards to miles.

How many yards are in 5 miles?

Answers

Find 5 on the miles number line. Determine the corresponding number on the yards number line. (It should be about 8800.)

8800

Step-by-step explanation:

Divide 3520 by 2 to get 1760

Then you multiply 5 by 1760 to get 8800

( Will give Brainliest Please Helpp)

Answers

Answer:

4/9 sq yard

Step-by-step explanation:

Answer:

the answer is 6/7

Step-by-step explanation:

Find the equation of the line.
Use exact numbers.
Y= X+
HELP ASAP

Answers

Step-by-step explanation:

using the graph, we can see that the line goes through points

(0, 5) and (3, -1)

this is all we need

[tex]y = mx + b\\ m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-(-1)}{0-3} = -2[/tex]

[tex]y = mx + b\\5 = -2(0) + b\\b = 5\\y = -2x + 5[/tex]

I need help w/ math Fractions

Answers

Answer:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−3/8÷−11/4

Applying the fractions formula for division,

=−3×4 / 8×−11

=−12/88

Simplifying -12/-88, the answer is

=3/22

What is the equation of the line in slope-intercept form?




Enter your answer in the boxes y= blank x + blank

Answers

Answer:

-3 + 4

Step-by-step explanation:

Answer:

y= 3/5x + 3. You go up 3 to where the other point is, then go over 5 to reach it. The y-intercept is 3 because that 3 is on the Y axis

Step-by-step explanation:

A bag contains:

4 blue marbles

2 green marbles

1 red marble

A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?

A) 1/7

B) 1/21

C) 2/49

D) 2/6

Answers

Answer:

it is ether B or D cuz

Step-by-step explanation:

4+2+1=7  marbles

(4/1)+(2/1)+(1/1)=7/21

divide 21 by 7 that would = 3

Find the reciprocal of 1/2 .

Answers

Answer:

.5

Step-by-step explanation:

1/2 = .5

A bike rental company charges a $5 service fee and $1 per hour. If this situation is represented as a function, what would be the slope?
Select one:

6

0

1

5

Answers

Answer:

The slope would be 1.

Step-by-step explanation:

The slope would be one becuase the equation would be y=1x+5.

Answer:

the equation would be y=x+5

so the slope is 1

Step-by-step explanation:

Thank you . Explain also, please!

Answers

Answer: 1/2

Step-by-step explanation:

1. Find the least common denominator (14) and multiply the numerator as much as the denominator

4/14 + 3/14

2. Add the 2 fractions together

4/14 + 3/14 = 7/14

3. Simplify

7/14 divided by 7 = 1/2

The answer is 1/2

Point E(-5.3) and point D(-4,-3) are located on the grid. Which measurement is closest to the distance between point E and point D
in units?

Answers

Answer:

10.8 units

Step-by-step explanation:

Step-by-step explanation:

To find the distance between two points, use the distance formula.

Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for 95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute. How many gallons of water are in the pool at the end of 95 minutes.Immersive Reader

Answers

Answer:

1284 gallons

Step-by-step explanation:

The swimming pool already contained 486 gallons.

Then, Jaxson filled the pool for 95 minutes, so, the total amount of water in the pool at the end of 95 minutes = 486 + filled amount in 95 minutes.

The rate of filling water is 8.4 gallons per minute. i.e

In 1 minute, the amount of water filled = 8.4 gallons.

So, by using the elementary method, in 95 minutes, the amount of water filled = 8.4 x 95 = 798 gallons.

So, the total amount of water in the pool at the end of 95 minutes

=486 + 798 = 1284 gallons.

An arts academy requires there to be 3 teachers for every 63 students and 4 tutors for every 36 students.How many students does the academy have per teacher ? per tutor ? how many tutors does the academy need if it has 63 students ?

Answers

Can you take the picture of the actual question?
Do the answer would be 15

Select the correct answer.
Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers.
Which equation represents this direct variation?

Answers

The answer is B) y= 7/4x

This is because when you graph it you would go up 7 and over 4- you just had to find the rise over run. I also just made sure it was correct on edmentum!

Caroline is planting her first 7 flowers in 4 minutes and then past 12 minutes, she plants 21 different flowers. That suggests that she is planting the flowers following the given equation  y=(7/4)x.

What is dependant variable?

The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable. That is, it is consistently claimed that the word variable's estimate depends on the mathematical condition's free variable.

How to solve it?

Let Caroline plant y flowers in x minutes.

By using the unitary method we can observe that

4 minutes  → 7 flowers

⇒ 1 minute → 7/4 flowers

⇒ x minutes → (7/4)x flowers

Hence, Caroline is planting y=(7/4)x flowers in x minutes. And y=(7/4)x this equation represents the variation perfectly.

NOTE: We took the number of flowers planted as y because it is a dependent variable. The number of flowers depends on the time elapsed.

Learn more about the unitary method here-

brainly.com/question/23423168

#SPJ2

two sides of a triangle have lengths 11 and 16 what must be true about the length of the third side

Answers

Answer: The third side of the triangle must be greater than the sum of sides 11 and 16.

Step-by-step explanation: "Triangle Inequality Theorem." This theorem states that any side of a triangle must be shorter than the other two sides added together.

Please mark this as the brainliest.

Un bloque de 2kg es trasladado a lo largo de la superficie lisa por accion de una fuerza f=40N ¿cual es el trabajo realisado por la fuerza "f"y por la fuersa de gravedad para un recorrido de 6m?

Answers

Explicación paso a paso:

Workdone = Fuerza * distancia movida en la dirección de la fuerza

Dado

Fuerza f = 40N

Distancia = 6 m

El trabajo realizado por la fuerza F es:

Trabajo hecho = 40 * 6

Trabajo terminado = 240 Nm

El trabajo realizado por la fuerza de la gravedad es el trabajo realizado por el cuerpo de 2 kg:

W = mg

W = 2 * 10

W = 20N

Trabajo realizado = 20 * 6

Trabajo terminado = 120 Nm

When a polynomial 2x^3+3x^2+ax+b is divided by (x-2) leaves remainder 2, and (x+2) leaves remainder -2.Find a and b.​

Answers

Given:

p(x) = 2x³ + 3x² + ax + b when divided by x - 2 and x + 2 leaves the remainders 2 , - 2.

Find:

Value of a and b

Solution:

✯ g(x) = x - 2

⟹ 0 = x - 2 [ g(x) = 0 ]

⟹ x = 2

★ p(2) = 2(2)³ + 3(2)² + a(2) + b

⟹ - 2 = 2 * 8 + 3 * 4 + 2a + b

⟹ - 2 - 16 - 12 - 2a = b

⟹ - 30 - 2a = b -- equation (1)

Similarly,

✯ g(x) = x + 2

⟹ 0 = x + 2

⟹ x = - 2

★ p( - 2) = 2( - 2)³ + 3( - 2)² + a ( - 2) + b

Substitute the value of b from equation (1).

⟹ 2 = 2 * ( - 8) + 3 * 4 - 2a - 30 - 2a

⟹ 2a + 2a = - 16 + 12 - 2 - 30

⟹ 4a = - 24

⟹ a = - 24/4

⟹ a = - 6

Substitute the value of a in equation (1).

⟹ - 30 - 2( - 6) = b

⟹ - 30 + 12 = b

⟹ - 18 = b

Therefore,

a = - 6

b = - 18.

I hope it will help you.

Regards.

The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 + 30s

Answers

;Answer:

The answer is below

Step-by-step explanation:

The PTA is trying to raise money for an end of the year carnival for a local

school. They are selling t-shirts, s, for fundraisers. Their revenue equation is

represented by the equation below. As a reminder, the revenue equation

describes how much money is brought in during the fundraiser: r(s) = - .1552 +30s

Their expenses equation is represented by: e(s) = 3s + 200.

A. Find the value of r(s) = e(s)

I

B. Explain what this means in the context of the problem.

Solution:

The revenue is the amount of money gotten by selling goods and products while expenses is the amount of money spent to produce the goods or products.

The revenue is given as:

r(s) = - 0.1552 +30s

While the expenses is given as:

e(s) = 3s + 200.

Since r(s) = e(s), therefore:

3s + 200 = -0.1552 + 30s

30s - 3s = 200 + 0.1552

27s = 200.1552

s = 7.4

s ≈ 7

At break even the expenses and revenue are equal to each other.

This means that if 7 t shirts are produced then the PTA would be at break even.

What is the slope of this graph?
A. 4

B. −14

C. −4

D. 14

Answers

Answer:

14  is the correct answer

Step-by-step explanation:

Answer:

A.4

Step-by-step explanation:

start at the y-intercept and work down

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