Solve for x in the triangle above

Solve For X In The Triangle Above

Answers

Answer 1

Answer:

x = 30

Step-by-step explanation:

The interior angles of a triangle must always add up to 180.

2x + 2x + 3x - 30 = 180

Add 30 to both sides to seperate variables.

2x + 2x + 3x = 210

Combine like terms.

7x = 210

Divide by 7 to isolate x.

x = 30


Related Questions

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original price!
Sofia buys a lawn ornament during the sale. If the original price was $40, how much does Sofia pay?

Answers

Answer:

$8

Step-by-step explanation:

40 x .8 = 32

40 - 32 = 8

Is the equation proportional?
y = 2x + 6

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

when you carry the 6 to y=6y then you divide the number by two

A boat travels 4 miles downstream in half an hour, and the same distance upstream in 2 hours. What is the speed of the boat in still water?

Answers

Answer:

7/3 mph

Step-by-step explanation:

knowing that:

distance traveled = velocity * time - velocity of the water * time

4 = v1 * 1.5 + v2 * 1.5

4 = v1 * 2 - v2 * 2

solve the system in any way you want,

v1 = 7/3 miles per hour

v2 = 1/3 miles per hour

can you help me please? ( I didn't mean to pick a answer)​

Answers

Answer:

#3:8n-4

Step-by-step explanation:

combine like terms

3n+n=4n

-7+5=-2

4n-2

multiply that by 2 to get the perimeter, which is 8n-4

Use the distance formula to find the distance between the points (3, 6) and (8, -1). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (14, -2) and (8, -9). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (-5, -7) and (-14, -12) Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (10, 5) and (4, 9)Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (5, 13) and (9, -21). Round your answer to the nearest tenth place.

PLEASE HELP ASAP!! a

Answers

Note: It seems you have asked the exact same type of questions again and again. So, I will solve the first question. The rest of the questions is the carbon copy of the same concept and solution method. Hopefully, it would get your concept clear.

Answer:

The distance between the points (3, 6) and (8, -1)

[tex]d=8.6[/tex]  

Step-by-step explanation:

Given the points

(3, 6)(8, -1)

Finding the distance between the points (3, 6) and (8, -1)

(x₁, y₁) = (3, 6)

(x₂, y₂) = (8, -1)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

  [tex]=\sqrt{\left(8-3\right)^2+\left(-1-6\right)^2}[/tex]

  [tex]=\sqrt{5^2+7^2}[/tex]

  [tex]=\sqrt{25+49}[/tex]

  [tex]=\sqrt{74}[/tex]

[tex]d=8.6[/tex]  

Thus, the distance between the points (3, 6) and (8, -1)

[tex]d=8.6[/tex]  

NOTE: All the remaning questions have the same method of solution.

Ajay just started a running plan where he runs 20 miles the first week and then increases the number of miles he runs by 5% each week. If he keeps up this plan for 14 weeks, how many total miles would Ajay have run, to the nearest whole number?

Answers

If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by

Sₙ=a(rⁿ-1)/(r-1)

where, a=first term

and r = common ratio

In the given question ,

Ajay runs 20 miles in first week ,     ...(i)

In second week the distance is increased by 5% of the previous week .

So in second week he runs = 20+5% of 20

[tex]=20+\frac{5}{100} *20[/tex]

=20(1+5/100)

=20(105/100)

=[tex]20\times(\frac{21}{20})[/tex]          ...(ii)

In third week Ajay runs = 20(21/20) + 5% of  20(21/20)

=[tex]20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )[/tex]

=20(21/20)[1+5/100]                   ..taking 20(21/20) common

[tex]=20(\frac{21}{20} )[\frac{105}{100} ][/tex]

=20(21/20)(21/20)

=20(21/20)²              ...(iii)

Similarly in 14th week Ajay Runs = 20(21/20)¹³ .    ...(iv)

Total miles run by Ajay = miles run in first week + miles run in 2nd week +    ...+ miles run in 14th week.

Substituting the values of equation (i), (ii), (iii) and (iv) we get

Total miles run by Ajay = [tex]20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}[/tex]

The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.

Substituting in the formula for Sum of Geometric Mean we get

[tex]S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )[/tex]

S₁₄=20*((1.05)¹⁴-1)/(1.05-1)

=20*(1.9799-1)/0.05

=20*0.9799/0.05

=20*19.598

=391.96

≅391

Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

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What is the domain of this quadratic function?

Answers

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

What is the measure of angle x? (1 point)
1) 35 degrees
O2) 40 degrees
3) 45 degrees
4) 50 degrees

Answers

40° is right I believe so

What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?​

Answers

Answer:

26.29 cu. in.

Step-by-step explanation:

what is x2−4x−45=0 and what did you do

Answers

Add to 4x and multiple to -45

4/7 Divided by 15 in a improper fraction

Answers

Answer:

4/7 divided by 15 is 4/105. so no its not an improper fraction

Step-by-step explanation:

4/105 sorry I’m helping as many ppl as I can so I’m trying to answer fast

PLEASE ANSWER ASAP

What is the solution to this equation? 9x + 5 = 86 Enter your answer in the box. x =

Answers

Answer:x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation:

9x + 5 = 86

9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)

9x = 81

9x/9 = 81/9 (to get the value of x, you divide both sides by 9)

x = 9

which word describes a statement that has been accepted, tested, and supported by multiple sets of evidence? theory theory hypothesis hypothesis procedure procedure data

Answers

Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.

What do you mean by data?

Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.

As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.

File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.

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I’m new and I need help with this question.

Answers

Answer:

First answer (question 7) -18 (question 8) -13 (question 9) -3 (question 10) -2

Step-by-step explanation:

10°
55°
x х
Solve for y in the figure above.

Answers

y=145
Explanation:
A triangle’s angles add up to a total of 180 so you would subtract 55 from 180 and then subtract 90 because of the right angle, then you would end with x=35. Since x and y are supplementary they add to 180...so then you subtract 35 from 180 and then you get y=145.


The slope of the line is

Answers

Answer:

The slope is 0

Step-by-step explanation:

If the line is horizontal then it's 0

A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!

Answers

Answer:

B

Step-by-step explanation:

9x20=180

5(x -1) - 3x = -19
solve for x​

Answers

Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

PLEASE help. I will mark as brainliest

Answers

Answer:

C 35

Step-by-step explanation:

Brainliest

The answer is 35! If you follow the pattern by moving over one and up one, then you’ll get to 35 after 7 hours.

what the answer giving brainliest !!!!!!

Answers

Answer:

1/2 * 5/4

Step-by-step explanation:

when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

4.
The quotient of 24 and d

Answers

Answer:

[tex]\frac{24}{d}[/tex]

Step-by-step explanation:

the quotient is the result of dividing 24 by d , that is

quotient = [tex]\frac{24}{d}[/tex]

Does anybody know how to do that

Answers

Answer:

how to do what? there is no question attached

Step-by-step explanation:

there is no question attached

complete the table for values y= 2x+ 3

Answers

Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7


Help needed! Plz A graph of a linear inequality in two variables is shown below:

Answers

Answer:

C

Step-by-step explanation:

Your answer is D) y>2x-3

Let me know if you want an explanation!

can anyone please help me ASAP?I have included a picture.

Answers

Answer:

[tex] Formula\: v =\frac{s}{t} \\\\

v = 60\: mph[/tex]

Step-by-step explanation:

Formula:

[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]

Answer:

see explanation

Step-by-step explanation:

The formula for v is

v = [tex]\frac{s}{t}[/tex]

When t = 3 and s = 180 , then

v = [tex]\frac{180}{3}[/tex] = 60 mph

HELP!

h(t)=t^2+2t
g(t)=-t-5
Find ( h+g )(-8)

Answers

Answer:

(h + g)(8) = 67

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Combining Like TermsFunction Notation

Step-by-step explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

Substitute:                    (h + g)(x) = t² + 2t - t - 5Combine like terms:    (h + g)(x) = t² + t - 5

Step 3: Find (h + g)(8)

Substitute in x:                    (h + g)(8) = 8² + 8 - 5Exponents:                          (h + g)(8) = 64 + 8 - 5Add:                                     (h + g)(8) = 72 - 5Subtract:                              (h + g)(8) = 67

Can someone help me please

Answers

Here’s the the answer and an explanation of how to get it :)

ola has 4
1
2
cups of rice. She uses
3
4
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?

Answers

The amount of cups that Lola uses to make the rice pudding for dessert is 3 3/4 cups.

How many cups were used to make rice pudding?

A fraction is a number that is made up of numerator and denominator. An example of a fraction is 3/4.

Number of cups were used to make rice pudding = number of cups Ola has - number of cups used to make sushi rolls

4 1/2 - 3/4

4 4 2-3/4  = 3 3/4 cups

What is fraction ?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

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The average growth for height
of a boy from age 6 to 12 is 2.5
inches per year. John is 6 years
old and is 41 inches tall. Model
Johns height with an equation.

Answers

The modelled John's height with an equation is x = 41 - 6 × 2.5.

Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.

We need to model John's height with an equation.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let John's initial height be x.

Now, an equation = x = 41 - 6 × 2.5

Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.

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a rectangular pool is 3 times as long as it is wide. a redwood walkway 2m wide with an area of 208 m borders the pol. what are the dimensions of the pool

Answers

The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]

We can substrate [tex]3x^{2}[/tex] and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]

(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]

The difference is 208[tex]m^{2}[/tex]

The dimensions of pool 25.5m width, 76.5m length .

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