Solve for X in the following triangles.
X=

Solve For X In The Following Triangles.X=

Answers

Answer 1

Answer:

The 51 and 62 triangle is 67°

The 43 triangle is 47°

Step-by-step explanation:

Angles in a triangle add to 180°

180 - ( 51 + 62 ) = 180 - ( 113 ) = 67°

180 - ( 43 + 90 ) = 180 - 133 = 47°


Related Questions

Which is true about the line whose equation is y + 3 = 0?
The slope is zero.
The y-intercept is 3.
The slope is 3.
The value of x always equals the value of y.

Answers

the value of x always equals zero

Answer:

The slope is zero.

Step-by-step explanation:

The y-int is -3, the slope can't be 3, and the value of x isn't equal to y, if it was the lines would be intersecting

Calculate the mean of this data set.

Answers

Answer:

The mean of the data set is 5.

Step-by-step explanation:

Add the numbers in the data set:

6+3+16+12+21+8+9

= 75

Then divide by the amount of values in the data set:

75/15

=5

The mean of this given data set is 15.

What is the mean of this data set?

Given:

A data set is given in the image.

Find:

The mean of the given data set.

Solution:

A mean is the average of a data set.

We find the mean by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Now, a summation of number = 2+4+4+7+2+6+7+4+8+2+3+6+9+4+7 = 75

Now, there are total of 15 data given.

Therefore, mean = 75/15 = 5.

Hence, the mean of the given data set is 15.

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-7 2/3 + ( -5 1/2 ) + 8 3/4 = ?

A: -4 5/12
B: -21 11/12
C: -4 2/3
D: 6 7/12

Answers

Answer:

-4 5\12

Step-by-step explanation:

Identify the Least Common Denominator, 12, then just simply evaluate.

Help and please show work

Answers

Answer:

5 units

Step-by-step explanation:

The formula of a distance between two points:

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

We have the points (1, 2) and (-3, 5). Substitute:

[tex]d=\sqrt{(-3-1)^2+(5-2)^2}=\sqrt{(-4)^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex]

What is the constant to

Answers

I take it the constant in this case it'll just be the coefficient, thus

[tex]\bf -\cfrac{2a^3}{7}\implies \stackrel{\stackrel{constant}{\downarrow }}{-\cfrac{2}{7}}a^3[/tex]

how do i become smarter ​

Answers

Answer:

You become smarter by working hard in school to get good grades and to get good grades you have to put in work and study to get the grades you want and probably deserve.

Step-by-step explanation:

1/5 can paint covers 1 wall how many with walls with 2 cans​

Answers

Answer:

10

Step-by-step explanation:

1/5*10=2 cans so 1*10 is 10 walls

What is 5/6÷3/8 in simplelest form

Answers

For this case we must simplify the following expression:

[tex]\frac {\frac {5} {6}} {\frac {3} {8}} =[/tex]

Applying double C we have:

[tex]\frac {5 * 8} {6 * 3} =\\\frac {40} {18} =[/tex]

Dividing numerator and denominator between 2:

[tex]\frac {20} {9}[/tex]

ANswer:

[tex]\frac {20} {9}[/tex]is the simplified form

Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).


Which best describes Terri’s first error?

In step 1, the slope of the line should be 1/2.

In step 2, she should have substituted the point (4, 6).

In step 3, she should have subtracted 4 from both sides of the equation.

In step 4, the m and b values should be switched.

Answers

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The slope = difference of y values / difference of x values so Step 1 is incorrect. The slope is (6-3)/ ((4 - (-2)) = 1/2. He worked out x differences / y differences.

Answer: A: In step 1, the slope of the line should be 1/2.

A member of congress is interested in
whether her constituents favor a proposed
gun-control bill. Her staff reports that 361
letters on the bill have been received and
323 of these oppose the bill. What is the
sample size?
A. 684
B. 38
C. 361
D. 323

Answers

Answer:361

Step-by-step explanation:

Final answer:

The sample size in this scenario is defined by the total number of letters received by the member of Congress, regardless of their stance on the bill. Therefore, the sample size is 361.

Explanation:

In statistics, the term 'sample size' refers to the number of observations or measurements used in a study or experiment. In this particular case, the member of Congress is interested in the views of her constituents on a proposed gun-control bill. The total number of letters received - regardless of whether those letters support or oppose the bill - forms the sample size.

In this context, the total number of letters is 361, so option C is the correct answer. It doesn't matter how many of these letters were in favor or against the bill; all of them constitute the sample. The number of letters opposing the bill (323) is a part of the total sample, not the sample size itself.

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Ron is slicing 5 pizzas each pizza slice is 1/8 of the pizza. How many pizza slices will be there in all

Answers

Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

Answer:

there would be 40 slices of pizza.

Step-by-step explanation:

Maria wrote the equation log(x/2)+log(20/x2) What is the solution to Maria’s equation?

Answers

Answer:

log x - log 2 + log 20 - 2 log x

Step-by-step explanation:

We need to solve the equation:

[tex]log(\frac{x}{2}) + log(\frac{20}{x^2})[/tex]

We know that log(x/y) = log x - log y and

log(x^2) = 2logx

Solving we get:

[tex](log x - log 2) + (log20 - log x^2)\\(log x - log 2) + (log20 - 2 log x)[/tex]

The solution is:

log x - log 2 + log 20 - 2 log x

Answer:

The solution to Maria's equation is x=5/4

Kyle needed about 1 liter of water to fill a container. Did Kyle most likely fill a small glass, a spoon, or a vase?​

Answers

The answer is vase.

A spoon is less than 3 ounces for sure.

A small glass is 8 ounces or less.

A vase is probably a liter of more.

Good luck!

A display of gift boxes has 1 box in the top row, 3 boxes in the next row, 5 boxes in the next row, and so on. There are 7 rows in all. How many gift boxes are in the display? Question 19 options: 64 boxes 47 boxes 36 boxes 49 boxes

Answers

Answer:

36 boxes

Step-by-step explanation:

For this case we have to increase two boxes each time we go to the next row. So:

1 row: 1

2 row: 3

3 row: 5

4 row: 7

5 row: 9

6 row: 11

7 row: 13

Adding the number of boxes we have:

[tex]1 + 3 + 5 + 7 + 9 + 11 + 13 = 49[/tex]

There are 49 boxes!

Answer:

Option D

Double the quotient of q and r

Answers

Answer:

(q/r)*2

Step-by-step explanation:

divide q and r, then multiply the result

The result of doubling the quotient of q and r is equal to 2 times the value obtained by dividing q by r.

To double the quotient of q and r, you would perform the following mathematical operation:

Double the quotient of q and r = 2 * (q / r)

In this expression, "q" and "r" are variables representing two numerical values. To get the result, you would divide "q" by "r" and then multiply the quotient by 2.

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Complete Question:

Write the expression for the below statement:

Double the quotient of q and r.

a fish tank is shaped like a rectangular prism. It has a length of 5 feet, a width of 2 feet, and a height of 3 feet. what is the volume of the fish tank?

Answers

Answer:

30 ft

Step-by-step explanation:

It is 30 because to find the volume of a rectangular prism, you do

length x width x height.

So, 5 x 2 x 3 = 30.

Final answer:

To find the volume of a rectangular prism, multiply its length, width, and height. Thus, the volume of the fish tank measuring 5 feet in length, 2 feet in width, and 3 feet in height is 30 cubic feet.

Explanation:

The volume of a rectangular prism such as a fish tank can be calculated by multiplying its length, width, and height together. For a fish tank with a length of 5 feet, a width of 2 feet, and a height of 3 feet, the volume calculation would look like this:

Volume = Length × Width × Height

Volume = 5 ft × 2 ft × 3 ft

Volume = 10 ft × 3 ft

Volume = 30 ft³

Therefore, the volume of the fish tank is 30 cubic feet.

One cell phone plan charges $20 per month plus $0.15 per minute used. A second cell phone plan charges $35 per month plus $0.10 per minute used. Write and slice an equation to find the number of minutes you must talk to have the same cost for both calling plans.

Answers

Answer:

300 minutes

Step-by-step explanation:

Let

x----> the numbers of minutes used

y ---> the cost per month

we know that

First cell phone plan

y=0.15x+20 ---> equation A

Second cell phone plan

y=0.10x+35 ---> equation B

equate the equation A and equation B

0.15x+20=0.10x+35

Solve for x

0.15x-0.10x=35-20

0.05x=15

x=15/0.05

x= 300 minutes

Find the cost y

y=0.15(300)+20 =$65

That means

For x=300 minutes

The cost for both calling plans is y=$65

a water sprinkler sprays water outward in a cirular pattern what area will be watered if the the radius of the spray from the sprinkler is 18ft write an exact answerin terms of pie/3.14​

Answers

Answer:

circle area = PI * radius^2

circle area = 3.14 * 18^2

circle area = 1,017.36 square feet

Step-by-step explanation:

water sprinkler sprays water outward in a cirular pattern what area will be watered if the the radius of the spray from the sprinkler is 18ft write an exact answerin terms of pie/3.14 answer equal 324ñ²ft

Expand the expression (5x + 3)2, and write the result in standard form.

Answers

Expand

2 × 5x + 2 × 3

Simplify 2 × 5x to 10x

10x + 2 × 3

Simplify 2 × 3 to 6

= 10x + 6

The expanded expression in standard form for the given equation  is [tex]\(25x^2 + 30x + 9\).[/tex]

To expand the expression [tex]\((5x + 3)^2\)[/tex], we use the distributive property, which states that for any real numbers [tex]\(a\), \(b\), and \(c\):[/tex]

[tex]\((a + b)^2 = a^2 + 2ab + b^2\).[/tex]

In this case,[tex]\(a = 5x\)[/tex] and[tex]\(b = 3\)[/tex]. Substituting these values into the formula, we get:

[tex]\[(5x + 3)^2 = (5x)^2 + 2(5x)(3) + 3^2\][/tex]

Now, let's compute each term:

1.[tex]\( (5x)^2 = 25x^2 \) (since \((a)^2 = a \times a\)).[/tex]

2. [tex]\(2(5x)(3) = 30x\) (by multiplying \(2ab\) where \(a = 5x\) and \(b = 3\)).[/tex]

3. [tex]\(3^2 = 9\).[/tex]

Now, summing up all the terms, we get:

[tex]\[ (5x + 3)^2 = 25x^2 + 30x + 9 \][/tex]

So, the expanded expression in standard form is [tex]\(25x^2 + 30x + 9\).[/tex]

Complete question:

Expand the expression (5x + 3)2, and write the result in standard form.

Kristen has $16.26 for a buffet. There is an entrance fee of $5.31 with a $2.96 charge for every pound of crab legs ordered. This situation is modeled by the equation 2.96p + 5.31 = 16.26, where p represents the number of pounds of crab legs ordered. How many pounds of crab legs can Kristen eat at the buffet? (round to the nearest tenth of a pounds of crab legs ordered)

Answers

Answer:

Step-by-step explanation:

8 pounds

Answer:

8 pounds

Step-by-step explanation:

A coin is tossed twice. Let H represents heads, T represents tails, and the combination of the two letters represent the outcome of both tosses (e.g., if the coin landed heads on the first toss and tails on the second, we'd represent that with HT). Which of the following sets includes all possible outcomes of both tosses?

Answers

Answer:

{HH, HT, TH, TT}

Step-by-step explanation:

The set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

In the first toss the coin may land Heads. In the second toss the coin may land Heads or Tails. This can be represented as;

HH, HT

Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.

In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;

TH, TT

Tails in the first toss followed by a Head in the second toss. Tails in the first and second tosses.

Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

How do i find quartiles, 1,2 and 3

Answers

Lower quartile=25% of total frequency/numbers in the data set

Median=50% of total frequency/numbers in the data set

Upper quartile=75% of total frequency/numbers in the data set

Hope this helps:)

Answer:

see explanation

Step-by-step explanation:

To obtain the quartiles arrange the data in ascending order

38, 47, 54, 60, 67, 68, 76, 77, 84, 89

Q₂ is the median

The median is the middle value in the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle

Q₂ = [tex]\frac{67+68}{2}[/tex] = 67.5

Q₁ is the lower quartile and is the middle value of the data to the left of the median

Q₁ = 54

Q₃ is the upper quartile and is the middle value of the data to the right of the median

Q₃ = 77

solve for x: 6(4x+5)=3(x+8)+3

Answers

Answer:

x=-1/7

Step-by-step explanation:

6(4x+5)=3(x+8)+3

Distribute

24x +30 = 3x+24 +3

Combine like terms

24x+30 = 3x +27

Subtract 3x from each side

24x-3x+30 = 3x-3x+27

21x +30 = 27

Subtract 30 from each side

21x +30-30 = 27-30

21x = -3

Divide each side by 21

21x/21 = -3/21

x = -1/7

Answer:

-1/7

-0.14

Step-by-step explanation:

Use the Distributive Property to write each expression as an equivalent algebraic expression.

(7 + a)3

Answers

Answer:

21 + 3a

Step-by-step explanation:

3 (7+a)

distribute 3 into parentheses:

21 + 3a

The distributive property states that one should simplify the expression by multiplying each term inside the parentheses by the term outside of them:

3*7=21

3*a=3a

21+3a

Hope this helps!!

Identify the function in which y varies directly with x

Answers

Answer:

y = kx

Step-by-step explanation:

You'll need to share the possible answer choices in all future posts.  

A function in which y varies directly with x has the form

y = kx, where k is the constant of proportionality.

With more data, it'd be possible for you and me both to identify this constant.

To identify if a function represents a direct variation relationship between \( y \) and \( x \), we need to determine if the function can be written in the form \( y = kx \), where \( k \) is a non-zero constant known as the constant of variation.
Here are the steps to determine if a function shows that \( y \) varies directly with \( x \):
1. Have a function \( f(x) \) to test. The function should be expressed in terms of \( x \).
2. Attempt to write the function in the form \( y = kx \).
3. Analyze the function:
  - If there are no constant terms (that is, no term without \( x \)) and the only term is a multiple of \( x \), then the function shows direct variation. The coefficient of \( x \) is the constant \( k \).
  - If there is a constant term not involving \( x \) (other than when \( x = 0 \)), or if \( x \) is raised to a power other than 1, then \( y \) does not vary directly with \( x \).
Let's look at a few examples:
**Example 1**: \( f(x) = 3x \)
This function is in the form \( y = 3x \), which matches the direct variation form \( y = kx \). Here \( k = 3 \). Therefore, \( y \) varies directly with \( x \).
**Example 2**: \( g(x) = 5x^2 \)
\( g(x) \) does not show direct variation because it does not have the form \( y = kx \); instead, \( x \) is raised to the second power, so it cannot represent a direct variation.
**Example 3**: \( h(x) = -2x + 1 \)
\( h(x) \) has a constant term, \( +1 \), which means it does not match the form \( y = kx \) for direct variation since \( y \) should have no constant term other than the coefficient of \( x \). Thus \( y \) does not vary directly with \( x \).
**Example 4**: \( j(x) = \frac{1}{4}x \)
\( j(x) \) reflects a direct variation. The function can be written as \( y = \frac{1}{4}x \), so \( y \) varies directly with \( x \) with a constant of variation \( k = \frac{1}{4} \).
In conclusion, to determine if \( y \) varies directly with \( x \) within a given function, you only need to inspect the function's form to ensure it is a linear equation with a slope \( k \) and no constant term (other than 0 when \( x = 0 \)).

The length of your classroom is about 3.5 x 10^2 inches. If the hallway is ten times as long as the classroom, what is the length of the hallway, expressed in scientific notation?

Answers

Answer:

3.5x10^3

Step-by-step explanation:

3.5x10^2 = 350

350x10 = 3500

3500 = 3.5x10^3

What is the slope of the line passing through the points (9,7) and (4,-3)?

Answers

Answer:

2

Step-by-step explanation:

slope = m = (difference in y)/(difference in x)

m = (-3 - 7)/(4 - 9)

m = -10/(-5)

m = 2

Work for 77.28 divided by 4.0

Answers

Answer:

19.32

Step-by-step explanation:

if 77.28 divided by 4.0 do long division and once you do that check yourself to see if you are correct

I hope I helped you guys! :)

Answer:

19.32

Step-by-step explanation:

98% of the mules who were surveyed said that stubbornness was a good character trait. If 343 mules gave this response, how many were surveyed in total?

Answers

Do a part over whole fraction

98% is a part of 100%

343 is a part of the number of mules who were surveyed in an unknown quantity.

You can set what you know into two proportions equal to each other:

[tex]\frac{98}{100} =\frac{343}{x}[/tex]

***x is the unknown value

Now you can cross multiply/butterfly

98x = 34300

Isolate x by dividing 98 to both sides of the equation

98x/98 = 34300/98

x = 350

This means that a total of 350 mules were surveyed

Hope this helped!

~Just a girl in love with Shawn Mendes

What is the least common multiple of the two denominators 6/8 and 4/32

Answers

Final answer:

The least common multiple (LCM) of the denominators 6/8 and 4/32 is 12.

Explanation:

The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers.

To find the LCM of the denominators 6/8 and 4/32, we need to find the LCM of 6 and 4.

The LCM of 6 and 4 is 12.

Therefore, the LCM of 6/8 and 4/32 is 12.

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To find the LCM of the denominators 8 and 32, we prime factorize them, identify the highest power of each prime number, and multiply these together. The LCM of 8 and 32 is 32.

To find the Least Common Multiple (LCM) of the denominators from the fractions 6/8 and 4/32, follow these steps:

Identify the denominators: 8 and 32.

Prime factorize each denominator:

8 = 2 × 2 × 2 (2³)32 = 2 × 2 × 2 × 2 × 2 (2⁵)

Identify the highest power of each prime number that appears in the factorizations. Here, the highest power of 2 is 2⁵.

Multiply the highest powers of all the primes together to find the LCM: LCM = 2⁵ = 32.

So, the LCM of the denominators 8 and 32 is 32.

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