Solve for x.
100°
(2x+3)
51°

Solve For X.100(2x+3)51

Answers

Answer 1

Answer:

23

Step-by-step explanation:

Exterior angle property: Exterior angle equals sum of opposite interior angles

51 + 2x +3 = 100

2x + 54 = 100

       2x = 100 - 54

      2x = 46

        x = 46/2

       x = 23


Related Questions

Fill in the blank to make each equality true. _ divided by (1/2x^3)=16x^6y^4.
PLS HELP!

Answers

Answer:

(8x^9 x y^4) : (1/2x^3)=16x^6y^4

Step-by-step explanation:

8 : 1/2 = 16

x^9 : x^3 = x^6

Equation - [tex]8x^3y^4[/tex] divided by (1/2x^3)=16x^6y^4.

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign. A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.

Let the required term be z.

[tex]z/ (1/2x^3)=16x^6y^4[/tex]

[tex]z=(16x^6y^4) }{(1/2x^3)}[/tex]

[tex]z = 8x^3y^4[/tex]

Hence, [tex]8x^3y^4[/tex]

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Convert the decimal 0.92¯¯¯ to a fraction.

Answers

Answer:

23/25 when reduced to the simplest form.

Step-by-step explanation:

write down the number as a fraction of one

0.92 = 0.92/1

so we multiply both numerator and denominator by 100

Then 0.92/1 = ( 0.92x100) / ( 1x100)

= 92/100

Now reduce the numerator and denominator by GCD between in this case

GCD ( 92,100) = 4

so, 92/ 4

100/ 4

=23/25

Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)

Answers

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]

what number is its own oppositie?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

Consider the set {7,8,9; the elements of this set include?
a. 7,8,9
b. 9, 10, 11
c. none of these

Answers

Answer:

The correct answer is "Option A".

Step-by-step explanation:

Hope this helps :)

Vhich number line represents the solution of 4x - 9> -21?

Answers

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Step-by-step explanation:

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily? ​

Answers

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

Learn more on  confidence interval here: https://brainly.com/question/20066592

please help me with this sum I will mark you as brainest​

Answers

Answer:

Step-by-step explanation:

3/6 x 8

= ( 3 x 8 ) / 6

= 24 / 6

4/7 x 2

= ( 4 x 2 ) / 7

= 8 / 7

9/2 x 3

= ( 9 x 3 ) / 2

= 27 / 2

8/5 x 7

= ( 8 x 7 ) / 5

= 56 / 5

3/9 x 5

= ( 3 x 5 ) / 9

= 15/9

7/4 x 4

= ( 7 x 4 ) / 4

= 28 / 4

6/2 x 6

= ( 6 x 6 ) / 2

= 36 / 2

8/3 x 9

= ( 8 x 9 ) / 3

= 72 / 3

9/4 x 8

= ( 9 x 8 ) / 4

= 72 / 4

5/3 x 6

= ( 5 x 6 ) / 3

= 30 / 3

2/7 x 3

= ( 2 x 3 ) / 7

= 6 / 7

8/4 x 7

= ( 8 x 7 ) / 4

= 72 / 4

6/4 x 2

= ( 6 x 2 ) / 4

= 12 / 4

What is the next number in the series shown?

132, 123, 115, 108, 102

Answers

Answer: 97
Explanation:
132-123 = 9
123-115 = 8
115-108 = 7
108-102 = 6
102-5 = 97

Please Answer This, with A, B, C, or D. and explain why it is so i can try and understand it. :D

Answers

Answer:

b

Step-by-step explanation:

first u have to put the like terms together which are 7p and 19p when u move the 19p th 7p it turns to minus su have to minus 7p-19p which equals to -12 check if there is more like terms there arent so u have to keep the rest the same

Answer:

B. (5q - 12) / 12

Step-by-step explanation:

7p + 5q = 19p + 12

So, we are looking for p, let's move all the p on the left, and the rest on the right

7p + 5q = 19p + 12

7p - 19p = 12 - 5q

-12p = 12 - 5q

Now to get single p we need to divide both sides by -12

-12p = 12 - 5q

p = [tex]\frac{12 - 5q}{-12}[/tex]

We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)

[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]

all right, we almost got it, now let's change the order in top of the fraction:

p = [tex]\frac{- 12 + 5q}{12}[/tex]

p = [tex]\frac{5q - 12}{12}[/tex]

And it's done

am 7. If the base of the parallelogram is equal to ir and the height is r, then what is the area of the parallelogram?

Answers

Step-by-step explanation:

The area of a parallelogram is just base x height, same as a rectangle.

[tex]a=b*h\\a=ir*r[/tex]

If ir is 2 separate variables rather than just 1, that can be simplified to this:

[tex]a=ir^2[/tex]

Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?

Answers

Answer:

D IS THE ANSWER

Step-by-step explanation:

HOPE IT HELPS

the area of a square is 36 centimeters. how long is each side of the square?

Answers

Answer:

6cm

Step-by-step explanation:

square root of 36 because the area of a square is base x height and a square has equal sides

I need help with b .

Answers

Answer:

Finding a common denominator is the same as finding a common multiple. You can multiply the denominators by each other, or list out the multiples of each denominator. Multiplying by others' unique factors gives the least common denominator.

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 212.5 grams of this cereal.

Answers

Answer: 131.76 calories

Step-by-step explanation:

110 calories          x

----------------- = ----------------

177.4 grams     212.5 grams

cross multiply and divide

(110x212.5)

23, 375 / 177.4 grams

x= 131.76

A bike race takes place over a 3 mile course. How many feet is it?

a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft

Answers

Answer:

A

Step-by-step explanation:

Here is ur answer

- BRAINLIEST answerer

Select the geometric figure that correctly matches with the following formula:

A=[tex]\pi r^{2}[/tex]

Answers

Answer:

Circle

Step-by-step explanation:

The area of a circle is

[tex]\pi r^{2}[/tex]

A. circle

The area of a circle is 2[tex]\pi[/tex]

What is the formula for the circle?

The Circle Formulas are expressed as,

the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]

The collection of all points equidistant from a fixed point in a plane is called a circle.

the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.

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Please help me out with thisbeen stuck on this for like a day

Answers

Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.

[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]

well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out

[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]

A researcher claims that 89% of people sleep with a pillow. In a random sample of 1000 people, 825 say that they sleep with a pillow

Answers

So 175 will sleep without a pillow is your answer! plz mark me brainalist

1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)

Answers

ANSWER

im not sure on the full awnser.

The image of the point (4, -9) under a translation is (9, -14). Find the coordinates
of the image of the point (-9, -8) under the same translation.

Answers

9514 1404 393

Answer:

  (-4, -13)

Step-by-step explanation:

When the translation (T) is added, the image is formed.

  (4, -9) +T = (9, -14)

  T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)

The same holds for the second point:

  (-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)

The image of the second point under the same translation is (-4, -13).

Help pls ASAP plssss

Answers

Answer:

y=2x-1

Step-by-step explanation:

The y-intercept is -1

The slope is 2

A loan is paid in 15 years with a total of $192.000. It had a 4% interest rate that compounded monthly. What was the principal?

Round your answer to the nearest dollar and do not include dollar sign

Answers

I really don’t know but I feel like if it’s 4% it should be the nearest

One integer is 8 less than another integer. The sum of the two integers is 72. Find the two integers. Step 2 of 2: What are the two integers? Separate values with a comma.

Answers

Answer:

40 and 32

Step-by-step explanation:

This is a linear systems equation problem.

a + b = 72

a = b - 8

Use substitution. Substitute b-8 for a in a+b=72

b-8+b=72

2b-8=72

add 8 to both sides

2b=80 (divide both sides by 2)

b = 40

Plug the value of b into the a=b-8

a=40-8

a=32

Check:  40 + 32 = 72 So the two integers are 40 and 32

To mail a letter to Vienna, Austria the post office charges a flat rate of $8.00 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+8.00, where y is the cost of the postage and x is the weight of the letter in ounces.

Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost to send a letter that weighs 3 ounces.

Answers

Answer:

It will cost 38 quarters

Step-by-step explanation:

y = 0.50x + 8.00

y = 0.5(3) + 8.00

y = 1.5 + 8.00

y = $9.50

$9.50/.25

38 quarters

Hope this is the answer you are looking for.

Natalie and her sister opened a savings account at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account that her sister?

Answers

Answer:

6 months

Step-by-step explanation:

We can think of Natalie as 100 + 10x and her sister as 25 + 25x. If we put them together, we will get 100 + 10x < 25 + 25x, We can simplify it by moving the 25 to the left side and 10x to the right side. Then we will get 75 < 15x, and the smallest solution is 6 because 5 * 15 is equal to 75

kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will have taken a total of 12 quizzes?

Answers

Answer:

6 weeks

Step-by-step explanation:

8 quizzes = 4 weeks

So 2 quizzes/week

It will take her 12/2 weeks (6) to finish 12 quizzes

-Chetan K

Please HELP ME!!!

[tex]x=1+i[/tex] is a solution to which of the following equations?

a: [tex]x^{2}+1=0[/tex]
b:[tex]x^{2} -2x+2=0[/tex]
c: [tex]x^{2} -2x+1=0[/tex]
d:[tex]x^{2} -1=0[/tex]

If you could please share you're thought process and work with me as well, so I can better understand how you found the answer. Thanks a bunch!

Answers

Answer:

b. x² - 2x + 2 = 0

Step-by-step explanation:

Solve each to confirm answer

a.

x² + 1 = 0x² = - 1x = √ -1x = iFALSE

b.

x² - 2x + 2 = 0(x - 1)² + 1 = 0(x - 1)² = - 1x - 1 = √-1x - 1 = ix = 1 + iTRUE

c.

x² - 2x + 1 = 0(x - 1)² = 0x - 1 = 0x = 1FALSE

d.

x² - 1 = 0x² = 1x = √1x = ± 1FALSE

Answer:

Option B

Step-by-step explanation:

[tex]\\ \sf\longmapsto x^2-2x+2=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{4-8}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{-4}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm 2i}{2}[/tex]

[tex]\\ \sf\longmapsto x=1\pm i[/tex]

Verified

Harold and his brother collected 2019 cans a 1-year period. Each boy collected the same number of cans. About how many cans did each boy collect? Explain how you found your answer.​

Answers

Answer:

1008.5 cans

Step-by-step explanation:

2019/2=1008.5

if you wanted per day, 1008.5/365=2017/730

Help !!!!!!!!!!!!!!!!’

Answers

it is not a polynomial
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