write the equation you would use to find x, then solve for x.

Write The Equation You Would Use To Find X, Then Solve For X.

Answers

Answer 1

Answer:

x + 6x+10   + x+2 = 180

x = 21

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x + 6x+10   + x+2 = 180

Combine like terms

8x + 12 = 180

Subtract 12 from each side

8x+12-12 = 180-12

8x =168

Divide each side by 8

8x/8 = 168/8

x =21

Answer 2

Answer:

Step-by-step explanation:

by angle sum property of a triangle ,

x+x+2+6x+10=180

8x =180-12

8x =168

x =168/8

x=21

hope it helpss


Related Questions

What is 8478 to the nearest inch?

Answers

Answer: I’m guessing it would be 8478 because that doesn’t make sense

Step-by-step explanation:

Answer:

It is 8478

Step-by-step explanation:

The expression x^2 + x + b is a perfect square trinomial. What is the value of b?

Answers

Answer:

1/4

Step-by-step explanation:

x^2+x+b= x^2+2*x+1/2+(1/2)^2= (x+1/2)^2

b= 1/4

I believe its 1/4 if i did it correctly

Write the slope intercept form Through:(1,-5) and(4, -1)

Answers

Answer:

Slope intercept form is

[tex]y=\frac{4}{3} x- \frac{19}{3}[/tex]

7. Piper Rothermel's credit card has a $926.42 balance. She makes a $223.50 payment. What is the new balance?
A $1,149.92
B $702.92
C$685.90
D$782.43
I NEED THIS ANSWER RN PLS

Answers

Answer:

The answer is 702.92 or answer B

Step-by-step explanation:

Use subtraction.

928.42 - 223.50 = 702.92

Hello ! ^^

• What's the new balance ?

→ b. $702.92

bc : 926.42 - 223.50 = 702.92

✘ i hope i helped you ! ✘

Let θ be an angle in quadrant IV such that sinθ=-3/4. Find the exact values of secθ and cotθ.

Answers

cos2(θ) + sin2(θ) = 1

sec(θ) = 1/cos(θ)

cot(θ) = cos(x)/sin(θ)

 

sin(θ) = -3/4

 

cos2(θ) + sin2(θ) = 1

cos2(θ) = 1 - sin2(θ)

cos2(θ) = 1 - 9/16 = 7/16

cos(θ) = ±√(7/16) = √7/16  (cosine is positive in Q IV)

 

sec(θ) = 1/cos(θ) = 4/√7

 

cot(θ) = cos(θ)/sin(θ) = (4/√7)/(-3/4) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given that,

sinθ = -3/4

∵sin²(θ) +cos²(θ) = 1

∴cos²(θ) = 1 - sin²(θ)

cos(θ) = √(1 - sin²(θ))

cos²(θ) = √(1 - 9/16 )

cos(θ) = ±√(7/16) = √7/4  (cosine is positive in quadrant IV )

sec(θ) = 1/cos(θ) = 4/√7

∵cot(θ) = cos(θ)/sin(θ)

∴cot(θ)= (4/√7)/(-3/4)

cot(θ) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

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There are 130 people in a sport centre.
73 people use the gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Thank you in advance. :)

Answers

Answer:

0

Step-by-step explanation:

the probability that this person doesn't use any facility = 0/130

= 0

hope it helps!

A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probability that the committee consists of all boys? StartFraction 4 Over 1001 EndFraction StartFraction 15 Over 1001 EndFraction

Answers

Answer:

10/143

Step-by-step explanation:

got 100%

When students are chosen at random, the probability that the committee consists of all boys is 10/143.

What is probability?

Probability simply means the likelihood that a particular thing will occur. It's due to chance or luck.

In this case, when students are chosen at random, the probability that the committee consists of all boys is 10/143.

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Find the exact values of sin 2x and cos 2x for cos x=3/7 on the interval 0
*view photo for choices*

Answers

I can’t see the picture sorry

Elmo has two different part-time jobs, and he works 20 hours per week at each job. He earns $ 8 per hour at one job. Which expression represents how much Elmo earned last week if he earns d dollars per hour at his other job ?

Answers

Answer:

$160+20d

Step-by-step explanation:

$8*20=$160

$160+20d

Find the value of d, the length of the diagonal across the square. If necessary,
round your answer to 2 decimal places.

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

d² = 4² + 4²

   = 16 + 16

d² = 32

d = √32

d = 5.67 units

Mrs. Williams wrote the following on the board during a math class.
Rule: Add 5
4,9, 14, ...
Which value belongs in this pattern?
A
27
B 45
С
D 142
need help please​

Answers

Answer:

142

Step-by-step explanation:

Keep adding 5

1
0
1
Which equation matches the number line?
S
2+ (4)
1
1
3
1
1

Answers

Answer:

The ans from the bottom left

Ms. Sculley needs to arrange 28 chairs into equal rows. She needs more than 2 chairs in each row and more than 2 rows. How many rows will she have?​

Answers

Answer: 7 rows

Step-by-step explanation:

she will have 7 rows with 4 seats in each row or 4 rows with 7 seats in each row

What is an equation of circle O shown in the graph below?

(1) x2 + 10x + y2 + 4y = -13
(2) x2 - 10x + y - 4y = -13
(3) x + 10x + y + 4y = - 25
(4) r2 - 10x + y- 4y = - 25

Answers

Answer:

Equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]

None of the options is correct

Step-by-step explanation:

Given: Graph

To find: equation of circle

Solution:

A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).

From the graph,

centre (a, b) = [tex]\left ( 6,2 \right )[/tex]

radius (r) = 4 units

Equation of circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex]

[tex](x-6)^2+(y-2)^2=4^2\\x^2+36-12x+y^2+4-4y=16\\x^2+y^2-12x-4y+24=0[/tex]

The equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]

None of the options is correct

We have given the graph

We have to determine the equation of circle

A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).

From the graph,

centre (a, b) = (6,2)

radius (r) = 4 units

What is the equation of a circle?

Equation of circle is of form

[tex](x-a)^2+(y-b)^2=r^2[/tex]

[tex](x-6)^2+(y-2)^2=4^2\\x^2-12x+36+y^2-4y+4=16\\x^2+y^2-12x-4y+24=0[/tex]

Therefore the equation of the circle is [tex]x^2+y^2-12x-4y+24=0[/tex]

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A game advertises, EVERYONE IS A WINNER! It costs $2 to play. You get to choose a card from a standard deck of 52 playing cards. If you choose a red card, you win $3. If you choose a black card, you get $1. What is the expected value of playing this game?

$0

$1

$2

$3

Answers

Answer:

$2

Step-by-step explanation:

$2 because it's in between.

The total playing value will be $0.

What is probability?

Probability shows the possibility of any event to occur. The maximum value of probability can be 1 and shows the event will happen, and minimum can be 0, shows that event will not occur.

Given that,

Cost of playing the game= $2

There are total 52 playing cards,

Red cards=26

So, the probability to come red on card = 1/2.

Black cards=26

So, the probability to come black on card=1/2

If investor invests $2,

For red card, win $3,

The profit is $1

For black card, win $1,

The loss is $1

Total invest = $4

Total earning=$4

playing value = $4-$4=0.

So the total playing value will be $0.

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What is the area of this figure?

Answers

Answer: 84

Step-by-step explanation: break down the parts and you multiply the sides and the answer to the square is 30 and the other half is 54 so 30 +54 =84

Find the area of the circle given the following information. Give the exact answer and an approximation to the nearest tenth.

Answers

A = 3.14 x r^2
= 3.14 x 6^2
= 3.14 x 36
= 103.62

________________________________

Hey!!!!

Solution,

Diameter=12 in

Radius=12/2 =6 inch

Now,

Area of circle=pi r ^2

=3.14*(6)^2

=3.14*36

=113.04 inches^2

So the area of circle is 113.04 inches^2.

Hope it helps......

Good luck on your assignment

________________________________

A rectangular piece of cardboard that is 7 inches by 20 inches has squares of length x inches on a side cut from each corner.
(Assume that 0 < x < 3.) Represent the remaining area in the form of a polynomial function A(x).

Answers

Answer:

The remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where  0 < x < 3.

Step-by-step explanation:

Breadth of rectangular piece of cardboard = 7 inches

Length of rectangular piece of cardboard = 20 inches

Area of cardboard = [tex]Length \times Breadth[/tex]

Area of cardboard = [tex]20 \times 7[/tex]

Area of cardboard =[tex]140 in^2[/tex]

Squares of length x inches on a side cut from each corner.

Length of square = x

Area of 1 square = [tex]Side^2 = x^2[/tex]

Area of 4 squares = [tex]4x^2[/tex]

Area of remaining portion [tex]A(x)= 140-4x^2[/tex]

So, the remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where  0 < x < 3.

Michael’s pencil box is shaped like a rectangular prism. It is 30.5 centimeters long, 20.3 centimeters wide, and 10 centimeters tall. He estimates that the surface area of the box is about 2,200 square centimeters. Is his estimate reasonable? Explain your reasoning.

Answers

Answer:

yes

Step-by-step explanation:

the approximate surface area is (30 × 20 × 2) + (30 × 10 × 2) + (20 × 10 × 2) or 2,200 cm2

Draw diagonals from one vertex to all of the non-adjacent vertices. Which polygon is constructed from four triangles?

Answers

Answer:

B

Step-by-step explanation:

Answer:

It is B Because of the non-adjacent vertices.

Point Q is the centroid of △ABC. QE = _____

Answers

That’s the answer to your question.

The median of [tex]\triangle ABC[/tex] are lines CD, AE and BF. These lines meet at point Q, makes Q the centroid. The length of QE is 9 units.

The centroid of a triangle divides the median of a triangle using the following ratio;

[tex]m:n = 2:1[/tex]

This means that:

[tex]BQ:QF=2:1[/tex]

[tex]AQ:QE=2:1[/tex]

[tex]DQ:QC=2:1[/tex]

To calculate QE, we make use of:

[tex]AQ:QE=2:1[/tex]

From the triangle;

[tex]AQ = 18[/tex]

So, we have:

[tex]18:QE=2:1[/tex]

Express as a fraction

[tex]\frac{18}{QE}=\frac{2}{1}[/tex]

Cross multiply

[tex]2 \times QE = 18 \times 1[/tex]

[tex]2 \times QE = 18[/tex]

Divide both sides by 2

[tex]QE = 9[/tex]

Hence, the length of QE is 9 units.

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Which equation is equivalent to the following?
2x^2 – 12x + 2y^2 + 20y – 28 = 0
1) 2(x-3)^2+2(y+5)^2=44
2) 2(x-3)^2+2(y+5)^2=60
3) 2(x-3)^2+2(y+5)^2=62
4) 2(x-3)^2+2(y+5)^2=96

Answers

Answer:

4)  2(x - 3)^2 + 2(y + 5)^2 = 96.

Step-by-step explanation:

2x^2 – 12x + 2y^2 + 20y – 28 = 0

2(x^2 – 6) + 2(y^2 + 10y) = 28

2 ( (x - 3)^2 - 9)) + 2((y + 5)^2 - 25) = 28

2(x - 3)^2 - 18 + 2(y + 5)^2  - 50 = 28

2(x - 3)^2 + 2(y + 5)^2 = 28 + 18 + 50

2(x - 3)^2 + 2(y + 5)^2 = 96

Answer:

[tex]4) 2(x-3)^2+2(y+5)^2=96[/tex]

Step-by-step explanation:

[tex]2x^2 -12x +2y^2 + 20y - 28 = 0[/tex]

It basically represents a circle.

Equation of circle

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2\:[/tex]

[tex]2x^2-12x+2y^2+20y=28[/tex]

[tex]$\frac{1}{2} (2x^2-12x+2y^2+20y)=28 \cdot \frac{1}{2} $[/tex]

[tex]x^2-6x+y^2+10y=14[/tex]

Organize the variables

[tex]\left(x^2-6x\right)+\left(y^2+10y\right)=14[/tex]

Now we have to complete the square for both groups:

[tex]\left(x^2-6x+9\right)+\left(y^2+10y+25\right)=14+9+25[/tex]

[tex]\left(x-3\right)^2+\left(y+5\right)^2=14+9+25[/tex]

[tex]\left(x-3\right)^2+\left(y+5\right)^2=48[/tex]

Now, I would proceed with:

[tex]\sqrt{48} =\sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 3} =4\sqrt{3}[/tex]

[tex]\left(x-3\right)^2+\left(y+5\right)^2=(4\sqrt{3} )^2[/tex]

We got the center and the circle radius

[tex]\left(3,\:-5\right)\\r=4\sqrt{3}[/tex]

But this is not what you want:

So, just multiply both sides by 2 and you'll get:

[tex]2\left(x-3\right)^2+2\left(y+5\right)^2=96[/tex]

The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle A is 162 cm2.

What is the area of triangle B?

Answers

Answer:

40.5 cm²

Step-by-step explanation:

Given the ratio of sides of 2 figures = a : b

then the ratio of areas = a² : b²

Here the ratio of Δ A : Δ B = 2 : 1, thus

ratio of areas = 2² : 1² = 4 : 1

That is the area of Δ A is 4 times area of Δ B, so

area of Δ B = 162 ÷ 4 = 40.5 cm²

Answer:

81

Step-by-step explanation:

162/2=81

Which graph shows the solution to the inequality -3x-7 <20?​

Answers

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

The answer Is not A​

Answers

Answer:

  B.  6, 8, 10 2/3, 14 2/9, 18 26/27

Step-by-step explanation:

The recursive relation tells you the first term is 6, eliminating choice A immediately.

It also tells you each term is 4/3 the previous term, so the sequence cannot be a sequence of integers*, eliminating choices C and D.

If you do the math, you find the terms of Choice B are correct:

6×4/3 = 88×4/3 = 10 2/3(10 2/3)×4/3 = 14 2/9...

_____

* Unless you start with a very large power of 3, repeatedly multiplying by 4/3 will eventually end with powers of 3 in the denominator and some multiple of powers of 2 in the numerator. Such a ratio cannot be an integer.

A beverage manufacturer performs a taste-test and discovers that people like
their fizzy beverages best when the radius of the bubbles is about 0.7 mm.
According to the formula below, what would be the volume of one of these
bubbles?

Answers

Answer:

The Answer is: B= about 1.44mm^3

Step-by-step explanation:

hope I could help you out :)

The volume of bubble is 1.44 cubic mm.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

Given data as :

Radius of the Bubble (r) = 0.7 mm

Volume of the bubble is given by the formula

[tex]r =\sqrt[3]{\dfrac{3v}{4\pi} }[/tex]

Taking cube on both sides

r³ = 3v/4π

Rearrange the equation,

v = 4πr³/3

Substitute the value of r in the above equation,

v = 4π(0.7)³/3

Substitute the value of π = 3.14

v = 4(3.14)(0.343)/3

v = 4.3/3

v = 1.44

Hence, the volume of bubble is 1.44 cubic mm.

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Kai was making pizza for lunch. They used 1/4 of a package of pepperoni and 1/6
of a package of sausage. How much more pepperoni than sausage did Kai use on
their pizza?

Answers

Answer:

1/12 more pepperoni than sausage

Step-by-step explanation:

to make 1/6 and 1/4 have the same denominator you multiply top and bottom by 6 and 4.

1/6*4 = 4/24

1/4*6 = 6/24

6/24 - 4/24= 2/24= 1/12

Consumer Math work. Please help


Mr. Cruz earns $11.25 an hour at his part-time job. Last week he worked 30 hours. What was his gross pay for the week? Another way of asking this question is; how much is she paid before taxes and deductions are subtracted? *

Answers

Answer:

$337.5

Step-by-step explanation:

He would get $337.5 because if he gets $11.25 every hour you just multiply $11.25 by 30 hours.

Place the indicated product in the proper location on the grid. (b2 + 8 )(b2 - 8)

Answers

Step-by-step explanation:

(b2 + 8 )(b2 - 8)(b2 + 8 )(b2 - 8)=b4 - 8b2 + 8b2 - 64(b2 + 8 )(b2 - 8)=b4 - 8b2 + 8b2 - 64=b4 - 64

Answer the question. 20 points
-4/13 + 5/26

Answers

Answer:

erm

Step-by-step explanation:

-3/26

Answer:

Step-by-step explanation:

(-4/13)+(5/26)

So,now take the common denominator by taking least common multiple (LCM)..

LCM=26

= {(-4/13)x26} + {(5/26)x26}

= (-8+5)/26

= -3/26

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