In ΔABC, m ∠ A = ( 3 x + 1 ) ∘ m∠A=(3x+1) ∘ , m ∠ B = ( x + 14 ) ∘ m∠B=(x+14) ∘ , and m ∠ C = ( 4 x + 5 ) ∘ m∠C=(4x+5) ∘ . What is the value of x ? 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

Calculate the simple interest on $700 left in account that pays 8% annual interest for 6 years.​

Answers

See attachment for math work and answer.

Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)

Answers

Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

-8 = 1/4 (-1) + b

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4

2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65

Answers

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60

Answers

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

What is the value of v? Please provide an explanation, thanks!

Answers

Answer:

13

Step-by-step explanation:

(180-(11v+15)+9v-8+6v-9=180

4v+148=180

4v=52

v=52/4

=13°

Please work this out or I get a detention

Answers

Answer:

a = 11 , b = 2

Step-by-step explanation:

[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]

A= 11 and 6 is 2 this is the coree answer

PLEASE ANSWER QUICKLY
Find the value of f(-142) for the function below.

f(x) = -0.2(x + 223)

A.
251.4
B.
-186.6
C.
81
D.
-16.2

Answers

it’s D , -16.2
you replace X with -142 and get -0.2 (142 + 223)

pls help.............​

Answers

Answer:

its c i think

Step-by-step explanation:

flip it around to where the right angles are in the same spot

What is the inverse of the function f(x) = 2x - 10?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/h

Step-by-step explanation:

the total time is 0.5 hours as the cyclist travels for 30 minutes

the formula for speed is distance travelled divided by time taken which gives us 20 km/hr

What is 36 x 36
A. 1296
B. 1256
C. 1298
D. 1301​

Answers

Answer:

A.1296

Step-by-step explanation:

Answer:

A. 1296

Step-by-step explanation:

36 x 36 = 1296

I put it into a calculator..

Find the x and y intercept of the following equation. 10x - 3y = 9​

Answers

Answer:

x-intercept= ( 0.9, 0)

y-intercept= (0,-3)

Step-by-step explanation:

Graph out the equation and look for the x and y intercept.

On the Guardian lines a and B

Answers

Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -9 2 -13 3 -17 4 -21

Answers

Answer:

3

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = -4x - 5.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (-13 + 9)/(2 - 1)

m = -4

Put m = -4, (1,-9)

-9 = -4(1) + c

c = -5

y = -4x - 5

Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".

For more about the linear function,

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Is this function linear or nonlinear?​

Answers

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

Can someone plz help really quickly!? Thank you! Marking brainlyest to to the first and correct answer!! Worth a lot of points to!!

Answers

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

pls help!!!!!!!!!!!!

Answers

Answer:

The answer on the right bottom

Step-by-step explanation:

3/4 × 1/2 = 3/8

None of them have 3 shaded but the right bottom

Therefore that'd be your answer

Answer:

bottom right

Step-by-step explanation:

In order to know the answer, you have to find the product of [tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex].

Multiply both numerators and denominators in order to get the answer.

[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] (this is the lowest term already)

If you check among the choices, it is only the bottom right choice that shows correct shading of the fraction. The diagram divides the right side into 4 equal parts. If you divide the left side into 4 equal parts like this, you'll surely get 8 equal parts of the total diagram. This represents the denominator, 8. The shaded portion represents the numerator, 3.

PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
(−5, 5)
(0, 3)
(0, −2)
(1, 1)
(3, −4)

Answers

Answer:

(0,-2) and (1,1)

Step-by-step explanation:

The solution points at the intersection of what is above the orange line and belothe blue line.

(-5, 5) is only in the orange zone so X

(0,3) is on the blue line that is doted so X

(0,-2) is on the orange line that is solid so ✅

(1,1) is in the orange and blue so ✅

(3,-4) is in the blue zone only so X

Answer:

hoi

Step-by-step explanation:

A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers

On tuesday how much did they sell

Answers

Answer:

On Tuesday

591 burgers are sold.

Some are hamburgers and some are cheeseburgers.

59 fewer cheeseburgers sold than hamburgers.

Number of cheeseburgers --> x

Number of hamburgers --> y

x+y= 591 --> x = 591-y

x = y-59

so

591-y = y-59

-2y = -650

y = 325

so

x = 325-59

x =266

The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.

Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:

1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).

2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).

Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:

H + (H - 59) = 591

Now, combine like terms:

2H - 59 = 591

Next, isolate the term with H:

2H = 591 + 59

2H = 650

Now, solve for H:

H = 650 / 2

H = 325

So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:

C = H - 59

C = 325 - 59

C = 266

They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.

To know more about combined total:

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590 ÷ 5 with the remainder of what

Answers

Answer:

118 r0

Step-by-step explanation:

590/5=118

there is no remainder

hope this helps :3

if it did pls mark brainliest

18- 8x = 8 + 3(1 - 3x)
Work shown please!

Answers

Answer

7 = -x

Step-by-step explanation:

18- 8x = 8 + 3(1 - 3x)

18- 8x = 8 +3-9x

18- 8x = 11 - 9x

7- 8x = -9x

7 = -x

Answer:

x=-7

Step-by-step explanation:

step by step in picture.

Read each question and answer accordingly
Write a linear equation in slope-intercept form with the following information*
Passes through (-2,-11) and is perpendicular to y=--x+2.
4

Answers

Answer:

653

Step-by-step explanation:

I need help with this prob

Answers

3x +2=180//////////////////

If I have a circle that is 12 in in diameter and it's cold and a half and then folded in half again what is the area of the resulting shape and what is how do I write out the equation

Answers

Answer:

A= πr^2/4

Step-by-step explanation:

Step one:

given data

diameter of circle= 12 in

the radius is r=d/2=6in

the area of the circle is

A=πr^2

A=3.142*6^2

A=3.142*36

A=113.1in^2

If the circle is folded in half, the area will be A/2= 113.1/2= 56.55in^2

In the corresponding shape is folded again the area is A/4= 28.3in^2

The expression for the last shape is

A= πr^2/4

Which graph displays a directly proportional relationship?

Answers

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

Learn more about equation of a line here:

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Charles shooting basketballs during recess he made 30 baskets and miss 10 for a total of 40 shots at this rate how many baskets would he miss if he shot a total of eight times?
Please help

Answers

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?

Answers

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Which value of x makes the equation 0.5(x + 15) = 2 + 0.75(x - 4) true?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x+15) = 2 + \frac{3}{4}(x-4)[/tex]

To make this easier, to get ride of the fractions, we can multiply both sides by 4

[tex]2(x+15) = 8 + 3(x-4)[/tex]

now use the distributive property

[tex]2x + 30 = 8 + 3x - 12\\[/tex]

now we want to isolate x to one side and isolate all the constants to the other

[tex]2x - 3x = 8 - 12 - 30\\[/tex]

now simplify

[tex]-x = -34\\x = 34[/tex]

to test, we can plug in back to the original

[tex]\frac{1}{2}(34+15) = \frac{49}{2}\\\frac{8}{4} + \frac{3}{4}(34-4) = \frac{8}{4} + \frac{90}{4} = \frac{98}{4} = \frac{49}{2}[/tex]

it works

Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!

Answers

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

2/3y + 3/4 = 8/9

help

Answers

Answer:

y = 5/24

Step-by-step explanation:

2/3 = 24/36

3/4 = 27/36

8/9 = 32/36

32-27 = 5

5/36 / 2/3 = 15/72 = 5/24

Answer:y=5/13

Step-by-step explanation:

8/9-3/4 is 5/36

divide by 2/3 is

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