if a yard is 3 foot long, how many inches are in on yard

Given :-

AB = AC

Then :-

This triangle is an isosceles triangle .

Let x be the value of ∠CAB . Then, ∠ABC will also have the same value as ∠CAB , since∠CAB and∠ABC are both the opposite base angles of an isosceles triangle .

An equation to find ∠ABC and ∠CAB :-

[tex] = x + x + 60 = 180[/tex]

[tex] = 2x + 60 = 180[/tex]

[tex] = 2x = 180 - 60[/tex]

[tex] = 2x = 120[/tex]

[tex] = x = \frac{120}{2} [/tex]

[tex] = x = 60[/tex]

Which means that the measure of ∠ABC and ∠CAB both are equal to 60°, and this triangle is an equilateral triangle.

Therefore :-

[tex]\color{olive}\bold{m∠ABC\color{hotpink} = 60°}[/tex]

[tex]\large{\underline{\underline{\red{\tt{\purple{\leadsto } GiveN\:\: Figure:-}}}}}[/tex]

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,8)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(2,4){\line( -1, - 2){2}}\put(2,4.2){$\bf B $}\put(0, - 0.3){$\bf A $}\put(4, - 0.3){$\bf C $}\put(2,0.2){\line(0,-1){0.4}}\put(0.8,2){\line(1,-2){0.2}}\put(3.3,0.1){$\sf 60^{\circ}$}\end{picture}[/tex]

[tex]\large{\underline{\underline{\red{\tt{\purple{\leadsto } AnsweR:-}}}}}[/tex]

It is given that AB = AC . Since two sides of the triangle are equal , hence it must be an isosceles triangle .

And we know that in an isosceles triangle two base angles are equal . So ∠ABC = ∠ ACB = 60° .

It’s A and C

Step-by-step explanation:

Subtract the bottom equation from the top equation/ and add the equations

Answer:

its so simple

how do you not know

the answer is examine peoples injury what else would be

Answer: Identity Property of 1

Step-by-step explanation:

The Identity Property of 1 states that any number times 1 will be that number.

This is the Identity Property of 1.

Hope this helps!

Identity Property of 1

Step-by-step explanation: any number x 1 = same number

Answer:

y + 17 = 7/3(x - 12)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Perpendicular lines have the negative reciprocal slope of the given line's slope.

Step-by-step explanation:

Step 1: Define

Line: y = -3/7x - 5

Slope m = -3/7

Point (12, -17)

Step 2: Find slope of perpendicular line

Take the negative reciprocal of the original slope.

Slope m = 7/3

Step 3: Write perpendicular line equation

x₁ = 12

y₁ = -17

m = 7/3

y + 17 = 7/3(x - 12)

Answer:

a

Step-by-step explanation:

Answer:

y=0.43x+50

Step-by-step explanation:

This is the equation given the information

Answer:

x = 2

Step-by-step explanation:

Given the expression 5x−4 = 3x +8, we are to solve for the value of x;

Step 1: Collect the like terms so that the variables are on one side and Constants on the other side

5x - 3x = 8-(-4)

5x - 3x = 8+4

Step 2: Evaluate the expression in both sides

5x-3x = 8+4

2x = 12

Step 3: Divide both sides by 2

2x = 12

2x/2 = 12/2

x = 6

Hence the value of x is 2

Answer:

d

Step-by-step explanation:

it is d

Answer:

ask your teacher for help

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

No

Step-by-step explanation:

This equation is not linear because it has an exponent greater than 1.

Answer:

10.67 km/hr

Step-by-step explanation:

A crosstown bus travels 8 kilometers in 45 minutes, its average rate of speed is,  10.67 km/hr

In mathematics, Average is a values which we calculate by dividing sum of values of all the data-set by number of data-sets.

Average =  sum of values of all the data-set/number of data-sets

Given that,

A crosstown bus travels 8 kilometers

Time = 45 minutes =45/60 hr = 3/4 hr

Average speed = ?

Average speed = Total distance covered /Total time taken

Average speed = 8 km/(3/4)hr

                          = 10.6666 km/hr

Hence, The average speed is 10.67 km/hr

To know more about average check:

https://brainly.com/question/9834403

#SPJ5

Answer:

-1/4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

2²+2³means 2×2+2×2×2=4+8=12

Answer:

48 to 36= 4 to 9

56 to 35=8 to 5

1 to 2=

44:99=4 to 9

30:65=

17 to 51=

9:7

Answer:

Given

Step-by-step explanation:

Given the monthly salary of project managers modeled by the function

f(x)= x^4 -10x^2+10,000

To know the number of years that a project manager be eligible for a $20,000 monthly salary, we will substitute f(x) = 20,000 and solve for x as shown:

20,000 = x^4 -10x^2+10,000

x^4 -10x^2 = 20000-10000

x^4 -10x^2 = 10,000

x^4 -10x^2 - 10,000 = 0

(x^2)^2-10x^2 - 10000 = 0

let P = x^2

P^2 - 10P -10000 = 0

P = 10±√10²-4(-10000)/2

P = 10 ±√100+(40000)/2

P = 10 ±√40100/2

P = 10 ±200.2/2

P = 210.2/2

P = 105.1

Since P = x^2

105.1 = x^2

x = √105.1

x = 10.25

Hence it will take like after 10 years for the manager to earn a $20,000 monthly salary

Answer:

10 1/4

Step-by-step explanation:

Answer:

5 and 0

Step-by-step explanation:

The answer to x > -45, are all number that are larger than -45.

5: Is 50 larger than -45

-100: Is 55 smaller than -45

-50: Is 5 smaller than -45

0: Is 45 larger than 45

5 and 0 are correct because they are both larger than -45.

Answer:

Well from the question I can only confirm that X (-45, infinity) is the possible answer. The answer would be A and D because 5 is greater than -45, while 0 is also greater than -45.

Answer:

whats the question, lol?

Step-by-step explanation:

Answer:

2x/15

Step-by-step explanation:

4x/5 - 2x/3

~Find common denominators

12x/15 - 10x/15

~Subtract

2x/15

Best of Luck!

Answer:

An engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. For any measurement value x, the length and width of the rectangular spaces can be represented by the functions:

Length: f(x) = 3x

Width: g(x) = 2x

Which function represents the area for any rectangular space in the building?

6x2>>>>>CORRECT ANSWER

6x

3x2

10x

Step-by-step explanation:

CORRECT ON EDGE 2021

Answer:

A

Step-by-step explanation:

:)

Step 1:

Let us first find the decrease in amount.

Decrease in amount = 150 -120 = $30

Step 2:

Now let us find the ratio of decrease in price to original price.

So the ratio is 1/5 or in decimal its 0.2.

Step 3:

To find percentage decrease we change this decimal number 0.2 two places to the right side, so it becomes 20 %

 The price decreased by 20%

Answer:

yo

Step-by-step explanation:

i hate pie

Answer:

u want us to calculate all that??  da-mn

Step-by-step explanation:

Answer:

1. Anjali answered 10 questions incorrectly

2. Rohan answered 16 questions incorrectly

Step-by-step explanation:

1 .The mark given for one correct answer = 5

That means that the mark given for 10 correct answers = 5 × 10 = 50

But Anjali's score = 30

Also, the marks gotten for incorrect answers = 30 - 50 = -20

Mark given for one incorrect answer = -2.

Therefore, number of incorrect answers would be;

= (-20) ÷ (-2)

= 10

•Anjali answered 10 questions incorrectly.

2. Total marks = -12

Number of correct answers = 4

Total marks for correct answers = 4 × 5 = 20

Also, marks for incorrect answers = -2 × Number of incorrect answers

Therefore,

Total marks = Marks for the correct answers + Marks for the incorrect answer

-12 = 20 + (-2) × Number of incorrect answers

-12 - 20 = -2 × Number of incorrect answers

-32 / 2 = Number of incorrect answers

Number of incorrect answers = 16

• Rohan answered 16 questions incorrectly.

Answer:

Jim ran 60 miles

Step-by-step explanation:

T (Toby) - 5 miles

K (Katie) - 4T , 4(5), 20

J (Jim) - 3K, 3(20), 60

Answer:

Jim ran 60 miles.

Step-by-step explanation:

First off I would take note of the information given.

Toby = t

Kate = k

Jim = j___________________________________________

j = 3k

t = 5

4t = k  

Since we already know Tim ran 5 miles we multiply 5 x4 to get 20. So Kate ran 20 miles.

3 times Kate's amount is Jim's. So 20 x 3 = 60.

Hope that helps and have a great day!

Answer:

The slope and y-intercept would be 0.

Step-by-step explanation:

Since they all sit on the same line, the slope and y-intercept would be zero. Or in other words, indefinite.

Answer:

the Cotters paid 16 dolars

Step-by-step explanation:

Answer:

I am trying to do this for points sorry

Step-by-step explanation:

And it equals E square