Question 2 (1 point)
What is the value of x if AABC is equilateral?

Question 2 (1 Point)What Is The Value Of X If AABC Is Equilateral?

Answers

Answer 1

Answer:

x= 2

Step-by-step explanation:

Given that,

AB = 7.5x

BC = 6x+3

AC = 10x-5

ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,

AC = BC = AB

10x-5 = 6x+3

Taking like terms together

10x-6x = 5+3

4x = 8

x = 2

Hence, the value of x is equal to 2.


Related Questions

Mary buys 8 cupcakes for $6 and Pete buys 12 cupcakes for $9. Who got the better deal PER cupcake or did they spend the same amount per cupcake?

Answers

Answer:

Step-by-step explanation:

Mary spends 8*6=48 dollars

Pete spends 9*12=108

Mary got a better deal per cupcake

Answer:

They spent the same amount per cupcake ($1.33)

Step-by-step explanation:

To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).

14+x = -9

X equals what?

Answers

Answer:

x=−23

Step-by-step explanation:

14+x=−9

Step 1: Simplify both sides of the equation.

x+14=−9

Step 2: Subtract 14 from both sides.

x+14−14=−9−14

x=−23

Answer:

-23

Step-by-step explanation:

14+x =-9

-14      -14

x = -23

What is the slope line through 1,-1 and 6,2

Answers

Answer:

[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (1, -1) and (6, 2).

Substitute:

[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]

Use the system of equations to answer the question.
x + y = 3
y = x - 5
What is the solution to the system of equations?

Answers

Answer:

the answer to the system of equation is (4, -1)

If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?

Answers

Answer:

There are 9838.5 feet in 3 kilometers.

Step-by-step explanation:

Given that:

There are 1.61 kilometer in a mile.

1 mile = 1.61 km

Also,

1 mile = 5280 feet

Comparing,

1.61 km = 5280 feet

1 km = [tex]\frac{5280}{1.61}[/tex] feet

1 km = 3279.50

3 km = 3279.50 * 3

3 kilometers = 9838.5 feet

Hence,

There are 9838.5 feet in 3 kilometers.

A distance of 3 kilometers is equal to 9,838.5 feet.

Given to us:

1 miles = 1.61 kilometers,

1 miles = 5,280 feet,

from the above to equations we can conclude,

[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]

So, now for 3 kilometers we can conclude that,

[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]

Hence, A distance of 3 kilometers is equal to 9,838.5 feet.

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The probability of getting a 6 is 4/5. The dice is rolled 500 times How many sixes would you expect to roll

Answers

Answer: 400

Step-by-step explanation:

From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.

The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled

= 4/5 × 500

= 400

There'll be 400 sixes.

find the length of the missing side. write your answer in simplest radical form!

Answers

Answer:

D

Step-by-step explanation:

10² + 14² = -17.20²

-17.20² = 2sqrt74

Answer:

C 296 ft

Step-by-step explanation:

hypotenuse^2 = side1^2 + side2^2

==> hypotenuse^2 = 10^2 + 14^2

==> hypotenuse^2 = 100 + 196

==> hypotenuse^2 = 296

==> hypotenuse = square root (296)

==> hypotenuse = 17.2046505

The length of the missing side = 296 in radical form

Which of the following tables represents a function ​

Answers

Answer:

d is the answer of the question

the measure of ∠G is 82°. What is the measure of its compliment?

Answers

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

whats 65 times 9 divided by 5

Answers

It’s 117, I used a calculator
65•9/5
If I solve according to pemdas this equation equals 117

Solve by using substitution
x=3y-1
x+2y=9

Answers

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

Tap for fewer steps...

Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

Tap for fewer steps...

Move all terms not containing yy to the right side of the equation.

Tap for fewer steps...

Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

Tap for fewer steps...

Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

Tap for fewer steps...

Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

Can y’all plz help me for brainliest

Answers

the awnser is #3

k=96

Answer:96

Step-by-step explanation:

4 can go into 96 24 times

PLEASEEEE HELP I HAVE NO IDEA WHAT THIS IS
Jordan is driving on a long road trip. He currently has 13 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?

Answers

Answer:

ok so 13- 1.75(5)

do this equation

Step-by-step explanation:

help find the value of x. please!

Answers

Answer:

c.4

Step-by-step explanation:

hope it helps ............

-5x2y - 3x4
What’s the answer
You have to multiply properties of exponents and simplify it

Answers

Answer: -2x(5y+6)

Step-by-step explanation:

Mark has 10 pens. Kate has 5 times as many pens as Mark. Which equation below answers how many pens Kate has?

Answers

Answer:

5m = k or 5(10) = k

Step-by-step explanation:

Let m represent Mark

Let k represent Kate

So, it is 5 times the amount that Mark has, so that is 5m = k

or just simply 5(10) = k

The pens that Kate has is equal to 50

What is an equation in math?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given here, let  mark has x= 10  pens and Kate has 5 times as many pens as Mark then kate would have 5x pens

therefore5x = 5×10

                    = 50 pens

Hence,  The pens that Kate has is equal to 50

Learn more about equations here:

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Write the ratio of ears to toes on an average person? (in simplest form)
type your answering using one of the following... (NO SPACES)
to

Answers

Answer:

1:5

Step-by-step explanation:

DivideByTwo

WEST is a parallelogram. If mze = (3x – 18)º, mzw
find the value of y and mus.
(15y + 6)°, and m2T = (2x + 6),

Answers

9514 1404 393

Answer:

  m∠W = m∠S = 126°

  m∠E = m∠T = 54°

  x = 24

  y = 8

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so we have ...

  ∠E = ∠T

  3x -18 = 2x +6

  x = 24 . . . . . . . . . add 18-2x

Then the measure of these angles (in degrees) is ...

 ∠E = ∠T = 2x+6 = 2(24) +6 = 54

__

The adjacent angle W is supplementary to either of these:

  ∠W = 180° -∠E

  15y +6 = 180 -54

  15y = 120

  y = 8

  ∠W = ∠S = 126°

Answer:

y = 8

Angle S= 126°

Step-by-step explanation:

What is the coefficient in the mathematical expression?

14+2.7x3


14

2.7x³



2.7

Answers

Answer:

14

Step-by-step explanation:

The coefficient is the is the one by it's self with no variables or exponents

What is the Area of this irregular shape?dfgju i

Answers

Answer:

The area of the irregular shape is 20 square cm

Step-by-step explanation:

Area of an Irregular Shape

Some shapes do not have regular shapes like squares, circles, triangles, etc. where well-known formulas can be applied to calculate their areas.

We have to calculate the area of the shape provided in the figure. We have divided the shape into three rectangles (see figure below). The total area of the irregular shape is:

A = A1 + A2 + A3

The first rectangle has dimensions 2 cm by 1 cm, thus its area is:

A1 = 1 cm * 2 cm = 2 square cm

The second rectangle has dimensions 2 cm by 3 cm, thus its area is:

A2 = 2 cm * 3 cm = 6 square cm

The third rectangle has dimensions 3 cm by 4 cm, thus its area is:

A3 = 3 cm * 4 cm = 12 square cm

The total area is:

A = 2 square cm + 6 square cm + 12 square cm = 20 square cm

The area of the irregular shape is 20 square cm

Reflect shape A in the line y = x

Answers

It would be in the quadrant III because of math

Factor: -12n - 20 they are asking for an expression

Answers

Answer:

-4(3n+5)

Step-by-step explanation:

Factored -4 out of -12n-20. Let me know if this answers the question!

What is the simplified expression for

-3x2 + 5x + 2 - 1 - 7x + 3x2

Answers

Answer:

-2x + 1

Step-by-step explanation:

1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2

2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)

3: 0 - 2x + 1

4: -2x + 1

Step 1: Given equation

Step 2: Group the terms with similar exponents together

Step 3: Add the terms together

Step 4: Simplify completely

Martin has 13 liters of soda.
Each glass can hold of a liter
of soda. How many glasses can
Martin completely fill with soda?

Answers

the answer is 13 glasses

Answer:

13

Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.

Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain

Answers

Answer:

a)16.32 rounded to the nearest whole number is 16 feet per second? True

b) 16.32 rounded to the nearest tenth is 16.3.? True

c) 16.32 rounded to the nearest hundredth is 16.33. ? False

Step-by-step explanation:

Select True or False for each statement.

a) 16.32 rounded to the nearest whole number is 16 feet per second. ?

16.32 to nearest whole number = 16 feet per second. This statement above is true.

b) 16.32 rounded to the nearest tenth is 16.3. ?

The number in the tenth position is 3, the number after it is 2.

Hence, 16.32 to the nearest tenth = 16.3

Hence, the above statement is true.

c) 16.32 rounded to the nearest hundredth is 16.33. ?

The number in the hundredth position is 2. There is no number after 2.

Hence,

16.32 to the nearest hundredth is 16.32

Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.

A number is divided by 2. Then 4 is added to the quotient. Next, the sum of these numbers is multiplied by 3. The result is 21. Find the number.

I need the answer ASAP

Answers

Answer:

The number is 6.

Step-by-step explanation:

Work the question backwards.

21÷3=7

7-4=3

3×2=6

And if you need proof.

6÷2=3

3+4=7

7×3=21

Help? Show work!
(TV ) ⃗ bisects ∠STU,m∠STV=(1/4 x+8)°,
and m∠UTV=(x+2)°.Find m∠STU.

Answers

Answer:

m∠STU = 20 °

Step-by-step explanation:

Since the line bisects the angle, we have that the two bisected angles are equal

Thus, mathematically;

x + 2 = x/4 + 8

Multiply through by 4

4x + 8 = x + 32

4x-x = 32-8

3x = 24

x = 24/3

x = 8

So to find the value of the original angle, we input 8 into each of the bisected angles and add together

mathematically, that will be ;

10 + 10 = 20

The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price. What will you pay?

Answers

30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
Solution: you pay $90

Answer:

$94.50

Step-by-step explanation:

150 x .30 = 45, so you can $45 off.

105 x .1 = 10.5 so you can take another $10.50 off.

The final price would be $94.50

PLEASE I NEED HELP!!!!!!!!!

Answers

Answer: Its 5 1/12 hope this helped!!!

Answer

Answer = 278/63 as in the pic

Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?

Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.

Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight

Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.

Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.

Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.

Part F
Simplify the expression (2d + 3) + (3d − 12).

Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.

Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?

Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.

Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.

Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.

art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.

PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ

Answers

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

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