In AABC, mZA (3x + 1)º, m B = (x + 14)", and mZC = (4x + 5)º. What is the value of x?​

Answers

Answer 1

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 1 + x + 14 + 4x + 5 = 180, that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20


Related Questions

please solve both questions, i'm very confused! thank you

Answers

Answer:

Step-by-step explanation:

These types of problems can be solved with substitution.

We just have to translate the word problem into math.

#1:

F = family, I = individual

[tex]F + I = 188\\95F + 42I = 12,507[/tex]

[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]

87 Families, 101 individuals

#2:

The perimeter is 899 meters. The perimeter can be defined as:

[tex]2L + 2W = P\\2L + 2W = 899[/tex]

We are also given that

[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]

W = 333 meters, L = 233/2 meters

Is every relation also a function? Explain

Answers

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

estimate 12/26 + 6/11​

Answers

Answer:

12/26 + 6/11 = 12+6/11 ............

Susan made $204 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?

Answers

Answer:

156

Step-by-step explanation:

204/7 = 12

12 x 13 = 156

Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one

Answers

I believe the answers are: red/green

Hope this helps, and happy holidays:)

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

What is decreasing function?

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

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Richard is riding in a hot air balloon. The hot air balloon rises 200 feet in 50


seconds.


If the hot air balloon rises at the same rate each second, what is the hot air balloon’s rate per second?



200

feet per second



4

feet per second

4 feet per second

−4

feet per second

negative 4 feet per second

−200

feet per second

Answers

Answer:

4 ft per second

Step-by-step explanation:

We are given that it takes 50 seconds to go 200 feet

in order to find the ft/second, we divide by 50

50/50=1

200/50=4

so 4 ft/ 1 second

Tyler ate x fruit snacks, and Han ate 34 less than that. Write an expression for the number of fruit snacks Han ate.

Answers

Answer:

x = -3/4

Step-by-step explanation:

Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.

About me:

Hi There! I'm so happy I get to be working at Brainly. I feel like this is a great place for everyone to communicate and have fun and learn at the same time. I'm a Teacher and I want to help those students in need. If they ever have a question. I'll be answering some of the questions here at Brainly.com but if I ever don't answer one of you guys questions that would mean I'm not available at this moment. I could show my work to you guys and it could be ANY question(s). I'm so happy to help those students in need. Talk to you lovely students soon.  Make sure to add me/request me.

God bless you,

Mr. Otero

Find EF. Please help!

Answers

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

Helpp me plzzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Answer:

side angle side. Seems contrary

Answer:

side angle side. Seems contrary

Step-by-step explanation:

Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.2%

Step-by-step explanation:

Use the percent error formula:

% error = | (approx - exact) ÷ approx | x 100

Plug in the approx. and exact values:

| (8.9 - 8.7) ÷ 8.9 | x 100

| (0.2) ÷ 8.9 | x 100

= 2.2

So, the percent error is 2.2%

Answer:1.2%

Step-by-step explanation:

∣experimental−actual∣

×100

The formula

8.7

8.6

8.6

×

100

8.6

∣8.7−8.6∣

×100

Plug in values

0.1

8.6

×

100

8.6

∣0.1∣

×100

Subtract

0.1

8.6

×

100

8.6

0.1

×100

Take the absolute value

0.0116279

×

100

0.0116279×100

Divide

1.16279

1.16279

Multiply by 100

1.2

%

1.2%

Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance

Answers

Answer:

C

Step-by-step explanation:

Both Holly and Emily have the same account balance thus it is equal to

Answer:

Dont listen to the person its actually B

Step-by-step explanation:

On a number line, smaller numbers are to the left of larger numbers.

Negative values are always less than positive values.

So, the following is true.

Holly's account balance < Emily's account balance

Simplify the expression.
4 (-y + 2) – 3y

A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8

SHOW YOUR WORK PLZSSSSSS

Answers

Answer:

B

Step-by-step explanation:

Expand to get -4y+2-3y. Combine like terms to get -7y+2.

The measures of the angles of a triangle are shown in the figure below. Solve for X

Answers

Answer:

34

Step-by-step explanation:

Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle

Answer:

34

Step-by-step explanation:

103+43=146

a triangle always adds up to 180 degrees

180-146=34

so that's the workings hope the answers right


9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]



Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping

station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and

advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)

Answers

Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%

Answer:

Amount to be repaid is $335798.833

Step-by-step explanation:

Amount of loan = $332,200

Rate of interest = 6.5%

time =  2months = 2/12 = 1/6 years

The amount of interest is simple interest

SI = [tex]\frac{P * R * T}{100}[/tex]

    =[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]

    = $3598.833

Final amount to be repaid = 332200+ 3598.833

                                            = $335798.833

Mr. Gaines ordered 1,320 pencils for the beginning of the school year. He is going to divide the pencils into five equal groups to give to each grade level. How many pencils will each grade level receive?

Answers

1320/5 = 264 pencils

Write the equation of the line that goes through (-2, 0) and (4,3).


A.) y=-1/2x
B.) y=1/2x+1
C.) y=2x+1
D.) y=x+1/2

Answers

Answer:

B

Step-by-step explanation:

I just put in in the desmos graphing calculator

Evaluate the expression for f = 20.
122 - 2f

A. 82
B. 100
C. 140
D. 2400

SHOW YOUR WORK PLZSSSSS

Answers

Hey there!

IF F EQUALS 20 THEN SUBSTITUTE IT INTO THE EQUATION

[tex]\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark[/tex]

Good luck on your assignment and enjoy your day!

~

[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

15 mm 8 mm What is the length of the hypotenuse? c= millimeters?​

Answers

Answer:

C= 17mm

Step-by-step explanation:

what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number

Answers

nearest is 3.2 that is with whole bumber

A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?

Answers

Answer:

mwe.n pa konen men tenyen ooooo

write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers

Answers

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (-3,-6) and (2,-2). So, the equation of line is

[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]

[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]

Subtract 6 from both sides.

[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]

Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].

Solve (x-4)^2 = 5

A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5

Answers

Answer:

A

Step-by-step explanation:

Assuming you mean the square root of five, then the answer is A.

You start by taking the square root of both sides.

√(x - 4)^2 = ±√5

x - 4 = ±5

x = 4 ±5

A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?

Answers

Answer:

1.8

Step-by-step explanation:

please help asap! xoxo

Answers

Answer:

First one obv false

the second one since they all times 3/4 so yes

4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35

Answers

The answer is a -29 I know this a lot

Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line​

Answers

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

The equation which is parallel to the line JK is

a) Parallel is 5x + 3y = 13

b) Perpendicular is 6x - 10y = 7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be J ( -5 , 5 )

Let the second point be K ( 1 , -5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )

m = 10 / -6

m = -5/3

The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope

So , the equation of line parallel to JK is 5x + 3y = 13

And , the equation of line perpendicular to line JK is 6x - 10y = 7

Hence , the equation of line is solved

To learn more about equation of line click :

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Has this app helped u​

Answers

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

Yes it helped me a lot what about you?

i'll mark you as brainliest​

Answers

Answer:

the answer is 6

Step-by-step explanation:

The answer is 6, because 5x6=30

a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line ​

Answers

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Y= 13 I think the answer .
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