Solve for x and all missing angles

Solve For X And All Missing Angles

Answers

Answer 1

The value of x in the first figure is 10

The value of x in the second figure is 12

How to find x

In the first figure the value of x is solved using the concept of angels on a straight line which  is 180 degrees

Therefore,

6x - 10 + 4x + 6 + 7x + 14 = 180

collecting like terms

6x + 4x + 7x + 6  + 14 - 10  = 180

17x + 10 = 180

17x = 180 - 10

17x = 170

x = 10

The second figure is solved using alternate interior angles

4x + 10 = 58

solving for x

4x = 58 - 10

4x = 48

x = 12

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Related Questions

plss help me i dont understand

Answers

Answer:

y = 1/5 x + 5

Step-by-step explanation:

20y- 4x = 100

Slope intercept form is y = mx+b  where m is the slope and b is the y-intercept.

Solving the equation for y

20y = 4x+100

Divide each side by 20

y = 4x/20 + 100/20

y = 1/5 x + 5

The slope is 1/5 and the y-intercept is 5

Answer:

y = 3

x = 5

Step-by-step explanation:

hope it helps.

attached is a histogram of the ages of actors and actresses who won the oscar for best actor and actress from 1928 through 2007. describe the shape of this distribution.

Answers

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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what is negative 15 divided by negative 1/3?​

Answers

Answer:45

Step-by-step explanation: Search math w ay on the internet for clarification and any further math questions :)

Answer: 45

Step-by-step explanation:

1. Convert any mixed numbers to fractions then you'll have: [tex]\frac{-15}{1}[/tex] ÷ [tex]\frac{-1}{3}[/tex]

2. Then you multiply the numbers across from each other. (both numerators and denominators)

So, it would then be [tex]\frac{-45}{1-}[/tex]

(remember, when multiplying or dividing negatives and positives, a negative to a positive (vice versa) will always come out to be a negative, and a positive to a positive or negative to a negative, it'll always be a positive)

3. Simplify [tex]\frac{-45}{-1}[/tex], this means you divide  -45 into -1, remember from the bolded phrase, this means it'd be a positive 45

So your answer is POSITIVE 45

P.S.  I'd recommend checking out the "Mixed Fractions Calculator" on Calculator Soup. I'll provide a link below if you need any other help with further questions in the future.  

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Hope this helps.

reduce the fractions (2x+nx-2y-ny)/(7x-7y)

Answers

Reduced form of given fraction is (2 + n)/7

What is expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given expression

(2x + nx - 2y - ny)/(7x - 7y)

It can be written as

[(2x - 2y) + (nx - ny)]/(7x - 7y)

Factoring out common factors

[2(x - y) + n(x - y)]/7(x - y)

Again factoring out common factor

(x - y)(2 + n)/7(x - y)

(2 + n)/7

Hence (2 + n)/7 is reduced form of the given expression.

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the following information to answer problems 1-2. You are choosing a personal identification number (PIN)
for
an account. The PIN has 5 digits.
1. How many PINs are possible if digits can be repeated?
Use
# of PINS=

Answers

Using  probability, the possible PINs with 5 digits if digits can be repeated are 3125.

what is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. The fundamental ingredient of probability theory is an experiment that can be repeated, at least hypothetically, under essentially identical conditions and that may lead to different outcomes on different trials.

Given that, The PIN has 5 digits, the digits can be repeated.

The number of possible PINs are 5⁵

= 5 * 5 * 5 * 5 * 5

= 3125

the possible PINs with 5 digits if digits can be repeated are 3125.

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a circle is divided into 4 sectors, the ratio of whose areas is what is the central angle of the largest sector in degrees?

Answers

With the ratio of 1 : 2 : 3 : 6, the central angle of the largest sector of the circle is 180°.

A circle is a two-dimensional shape consisting of all points in a plane that are at a given distance from the center. Equivalently, we can define a circle to be the curve traced out by a point that moves in a plane so that its distance from the center (a given point) is constant.

A sector is defined to be a part of a circle that is made of the arc of the circle along with its two radii. The shape of a sector of a circle is identical to the shape of a slice of pie or pizza.

We're given a ratio of 1 : 2 : 3 : 6 of all the 4 sectors of a circle. The largest sector in degrees is indicated by 6 out of 12 (12 being the sum of numbers in the ratio). We know that a circle is divided into 360°. Therefore, the central angle θ of the largest sector is:

θ = 6/12 x 360°

θ = 1/2 x 360°

θ = 180°.

The complete question is "A circle is divided into 4 sectors, and the ratio of whose areas is 1 : 2 : 3 : 6. What is the central angle of the largest sector in degrees?"

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what is the solid of revolution obtained when you revolve the region bounded by the curves y equals x minus 1, y equals 0, and x equals 3 about the x-axis?

Answers

The height of the cylinder is 3 and its base is a circular disk with radius 1.

The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.

The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.

A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.

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Please help me with this

Answers

The value of the variable, x is 45 degrees

How to determine the value

We have that the polygon is one with eight sides, that is, it is a regular octagon.

To determine the interior angle, we have

(n - 2) 180

n is the number of sides

(8-2)180

1080 degrees

Now, divide it by the number of sides

1080/8 = 135 degrees

Note that angles on a straight line is equal to 180

Then,

x + 135 = 180

Collect like terms

x = 180 -135

subtract the values

x = 45 degrees

Hence, the value is 45 degrees

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The cost of 15 flower vases are rupees 2250 find the cost of 25 flower vases

Answers

Answer:

Since you know that 15 vases are worth 2,250 rupees, then to find how much 25 cost, you can first find how much each costs individually.

To find how much each vase cost, you can just divide the total cost of 15 vases, and the amount of vases:

2250/15 = 150

Each vase costs 150 rupees.

Now to find how much 25 vases cost, you can just multiply the cost per each flower vase, by the total amount of vases:

150 * 25 = 3,750

25 flower vases cost's 3,750 rupees.

Step-by-step explanation:

Hope it helps! =D

The price of an item has been reduced by 80%. The original price was $70. What is the price of the item now?

Please help me it's timed, plus you'll get 100 points.

!!!If correct, Brainliest, Thanks, and 5 stars!!!

Answers

The new price would be $14.
The correct answer and item that cost 70$ being reduced by 80% is 14$.

a map has a scale of 1 inch: 15 miles. if two cities are 3.4 inches apart on the map, how far are they actually apart? show your work!

Answers

A map is scale at one inch to fifteen miles. On a map, if two cities are 3.4 inches apart, They are actually apart 15.

A scale is a collection of values, such as levels or numbers, that are applied to a particular system of measurement or comparison. Scale is the ratio that establishes the relationship between the model and the actual figure. The real figures in smaller units are shown by it on maps. As an illustration, a scale of 1:5 means that 1 on the map is equivalent to the size of 5 in the real world. A framework or application can manage heavier loads if it scales properly.

Based on the given conditions, formulate:: 3.4*15/1

3.4 in  x 15mi/1in = 51 mi

Calculate the product or quotient: 51

They are actually apart 15

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Find a discount on a 255 cell phone that is on sale for %35 off

Answers

Answer:

Step-by-step explanation:

35% of 255 = 89.25

255-89.25 =165.75

Please help me I’ve been stuck

Answers

Answer:

Below

Step-by-step explanation:

This is a two-stage problem

  for the first 12 years use cont compounding formula

        FV = PV e^(rt)     Future value  Presnt value   r = decimal int   t = years

         = 2000 e^(.05 * 12) = 3644.24    use this amount for the second stage

     Fv = pv e^(rt)  = 3644.24 ( e^(.08*8) ) = $ 6911.23

Dylan and mackenzie are 230 feet apart when they start walking toward one another. mackenzie walks twice as fast as dylan so whenever dylan travels x feet, mackenzie travels 2 x feet. let x represent the number of feet dylan has traveled since he started walking toward mackenzie.

Answers

The total distance between Dylan and Mackenzie is reduced by x feet each time Dylan travels x feet, since Mackenzie travels 2x feet during that time. Therefore, their combined distance of travel is x + 2x = 3x feet.

Since their starting distance apart was 230 feet, and their combined distance of travel is 3x feet, we can write an equation to represent the situation:

230 = 3x

To find the distance each person travels, we can solve for x by dividing both sides of the equation by 3:

230 / 3 = 3x / 3

x = 230 / 3 = 76.67 feet

So, Dylan travels x = 76.67 feet and Mackenzie travels 2x = 2 * 76.67 = 153.33 feet.

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Which equation represents the relationship between the independent
variable, x, and the dependent variable, y, as shown in the table below?
X
(input)
7
8
9
10
y
(output)
14
16
18
20
y = 2x
x = 3y
x = 5y
y
HE
3X

Answers

The equation represents the relationship between the independent variable, x, and the dependent variable is y= 2x

How to determine the equation

From the question, we have the following parameters that can be used in our computation:

The table of values

On the yable of values, we can see that

y is twice of x

When represented as an equation, we have

y = 2x

Hence, the equation is y = 2x

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8/12 = y/30 using proportion how can I solve this?

Answers

Answer:

y = 20

Step-by-step explanation:

[tex]\frac{8}{12}[/tex] = [tex]\frac{y}{30}[/tex] ( cross- multiply )

12y = 8 × 30 = 240 ( divide both sides by 12 )

y = 20

if n and r are positive integers such that 1<=r<=n, show that [tex]^nC_{r} + 2[^nC_{r-1}] + ^nC_{r-2} = ^n^+^2 C_{r}[/tex]
correct answer :- instant brainliest

Answers

Answer:

AnCr+AnCr - 1 = n!/(n - r)!r! + n/(n - r + 1)!(r -

|1)! = n!(n - r+ 1)/(n -r+ 1)!r! + n!r/(n - r + 1)!r!

F n!/(n - r+ 1)!r!(n - r+1 +r) = (n +.

You purchase a new lcd monitor for $1,351. you put a 8% down payment and $59.56 per month on a 24 month purchase plan. what is the amount of the down payment? a. $108.08 b. $112.81 c. $110.01 d. $114.32

Answers

The amount of the down payment is:     $ 108.08

Step-by-step explanation:

It is given that:

You purchase a new LCD monitor for $1,351.

You put a 8% down payment and $59.56 per month on a 24 month purchase plan.

This means that the down payment made is 8% of the total amount of the LCD monitor.

i.e.

The amount of the down payment= 8% of 1,351

i.e.

The amount of the down payment= 0.08 of 1,351

i.e.

The amount of the down payment=0.08×1,351

i.e.

The amount of the down payment= $ 108.08

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Name three solution for a variable and a number

Answers

Therefore , the solution of the given problem of equation comes out to be

there Are Countless Solutions.

What is an equation?

The equivalent indicator (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors using mathematical techniques, which have served as manifestations of reality. For example, the equal sign divides the number 12 or even the solution y + 6 = 12 in two different halves. How many characters already appear on either side of this symbol can be calculated. Conflicting symbol meanings occur frequently.

Here,

Each set of linear equations can have one of three different sorts of solutions.

Unique Solution are them.

No Answer.

There Are Countless Solutions.

Therefore , the solution of the given problem of equation comes out to be

there Are Countless Solutions.

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Please help.
Graph RST with vertices R(4,1), S(7,3), and T(6, 4) and its image after the glide reflection.
Translation: (x,y) →(x, y-1)
Reflection: in the y -axis.

Answers

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

Simplify the expression:
[tex]1+\frac{1}{1+\frac{1}{1+1}}[/tex]

Answers

The given expression can be written as in the simplified form, 5/3

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression,

[tex]1 + \frac{1}{1+ \frac{1}{1+1} }[/tex]

It can be solved by various steps,

First step,

1/(1+1) can be written as 1/2

[tex]1 + \frac{1}{1+ \frac{1}{2} }[/tex]

Second step,

1 + 1/2 can be written as 3/2

[tex]1 + \frac{1}{\frac{3}{2} }[/tex]

Now, 1/(3/2) can be written as 2/3

[tex]1 + \frac{2}{3}[/tex]

Further, it can be written as,

5/3

Hence, the simplified form is 5/3

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Simplify the expression.
768x^8y^5
O A. 42³y32²
O B. 2xy² √2x
OC. 4x²y3y
O D. 4x²y3x²y

Answers

Answer:

4y^4√3x^2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

a manufacturer has nine distinct motors in stock, two of which came from a particular supplier. the motors must be divided among three production lines, with three motors going to each line. if the assignment of motors to lines is random, find the probability that both motors from the particular supplier are assigned to the first line.

Answers

The probability that both motors from the particular supplier are assigned to the first line is 1/126.

To explain this further, the numerator of the equation is the number of ways to choose two motors from the nine available, and the denominator is the number of ways to assign the nine motors to the three production lines. The denominator is calculated by multiplying the number of ways to assign three motors to the first line, three motors to the second line, and three motors to the third line. This is why the denominator is 3C2*3C2*3C2, which simplifies to 126.

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Luke was solving the equation √3-x=-16. He was about to square
each side, but then he realized he could give an answer without doing any
algebra. What did he realize?

Answers

Luke was solving the equation √(3-x) = -16. He was about to square

each side, but then he realized he could give an answer without doing any algebra, here is explanation,

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Luke realized that squaring each side of the equation √(3-x) = -16 would lead to an extraneous solution. This happens because squaring each side of the equation changes the direction of the inequality, which may result in solutions that do not actually satisfy the original equation.

The square root of any positive number is always positive, so the left side of the equation is always non-negative. However, -16 is a negative number, so there is no real solution to the equation √(3-x) = -16.

Therefore, Luke realized that he could give an answer without doing any algebra and that the equation has no real solution.

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Select the trigonometric equation that can be used to find x.

Answers

The measure of the value of 'x' from the expression is 8.8712

Solving triangles using trigonometry identity

The given image is a triangle with the following parameters:

Opposite = 8

Hypotenuse = x

acute angle = 46 degrees

Required

The measure of the angle 'x'

Applying the rule of trigonometry

sin theta = opposite/hypotenuse

sin 46 = 8/x

x = 8/sin46

x = 8.8713

Hence the value of x from then given triangle is 8.8712

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Which one is the correct answer?

Answers

Answer:

Last option: Stocks which drop from 5.25 by 1.35

Step-by-step explanation:

5.25 + (- 1.35) = 5.25 - 1.35

This represents a decrease in value of stock which starts at 5.25 and drops by 1.35.

The stock value at end of day = 5.25 - 1.35 = $3,9

Help!! Question in pic

Answers

The statement W ⊂ J is true.

What is a set?

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

From the given information,

R ⊂ J

D ⊂ J

M ⊂ D ⊂ J

W ⊂ D ⊂ J _____(1)

Now,

⊂ means subset.

Example:

A = {1, 2, 3}

B = {1, 2, 3, 4}

So,

A ⊂ B since the element in A is also in B and B has one extra element.

So,

From (1),

W ⊂ J

Thus,

W is a subset of J.

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If 81 visit a store and five nineths of them buy gardening tools how many bought gardening tools

Answers

Answer:  45

Step-by-step explanation:

We can label 5/9 of 81 as Numerator/Denominator of a whole number.

To solve the problem, we multiply the Numerator by the whole number and leave the Denominator as is:

(5 x 81) / 9 = 405/9 = 45

Therefore, the answer to 5/9 of 81 in its lowest form is:

coseca _cota =tan a/2​

Answers

coseca_cota=tan a/2 divided by 3x67342

Marty makes 3 plates of cookies there are 13 cookies on each plate Marty eats 4 of the cookies which shows how many cookies are left

Answers

35 cookies.
3(plates)x13(cookies)= 39 cookies
39-4=35
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