Find the value of k the diagram is not to scale.

Find The Value Of K The Diagram Is Not To Scale.

Answers

Answer 1

Answer:

[tex]k=73[/tex]

Step-by-step explanation:

We have been given a triangle. We are asked to find the value of k for our given triangle.

We will use angle sum property to solve for k. The angle sum property states that all angles of triangle add up-to 180 degrees.

[tex]k+62^{\circ}+45^{\circ}=180^{\circ}[/tex]

[tex]k+107^{\circ}=180^{\circ}[/tex]

[tex]k+107^{\circ}-107^{\circ}=180^{\circ}-107^{\circ}[/tex]

[tex]k=73^{\circ}[/tex]

Therefore, the value of k is 73.

Answer 2

The value of  [tex]\angle{k}[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].

Further explanation:

Consider, the given triangle as [tex]\triangle{ABC}[/tex]  shown in figure 1.

Now, the value of [tex]\angle{A}[/tex] is 62 degree, the value of [tex]\angle{B}[/tex] is 45 degree and the value of [tex]\angle{C}[/tex] is [tex]k[/tex] .

From the property of the triangle, we know that sum of angles of a triangle is equal to 180 degree.

Now, for [tex]\triangle{ABC}[/tex] it can be written as follows:

[tex]A+B+C=180[/tex]                                                    ……(1)

Substitute 62 for [tex]A[/tex], 45 for [tex]B[/tex] and [tex]k[/tex] for [tex]C[/tex] in equation (1) to obtain the value of [tex]k[/tex].

[tex]\begin{aligned}62+45+k&=180\\107+k&=180\\k&=180-107\\k&=73\end{aligned}[/tex]

Thus, the value of angle [tex]k[/tex] is [tex]\fbox{\begin\\\ \bf 73^{\circ}\\\end{minispace}}[/tex].

Learn more:

1. Which rule describes the transformation? https://brainly.com/question/2992432

2. Which undefined term is needed to define an angle? https://brainly.com/question/3717797

3. Look at the figure, which trigonometric ratio should you use to find x? https://brainly.com/question/9880052

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangle

Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, triangle ABC.

Find The Value Of K The Diagram Is Not To Scale.

Related Questions

How many cubes are needed to build the base of this structure?

Answers

10 cubes for the base

Answer:

Option (D) 10 cubes

Step-by-step explanation:

The given structure is formed by assembling the cubes.

Number of cubes required for upper layer of the structure = 7 cubes

Now we have to find how many cubes will be required to form the lower layer of the structure.

From the structure ⇒

Cubes in lower layer = cubes in upper layer + 3 more cubes

                                  = 7 + 3 = 10 cubes

Therefore, 10 cubes will be required to form the base of the structure.

Option (D) 10 cubes is the answer.

Rachel saved up art supplies she used 1/3 of her money to buy brushes and used 3/4 of her money to buy paint what fraction of her saveings does she have left

Answers

Answer:

The question is actually,

Step-by-step explanation:

Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. What fraction of her savings does she have remaining?

Nyree divided 495 are 24 using partial quotients find the quotient and remainder explain your answer using numbers and words

Answers

Answer: Quotient=20 and remainder=15.


Step-by-step explanation:

Here dividend=495 and divisor=24

Step 1) Write easy multiples of 24 such as

24×2=48

24×5=120

24×10=240 and so on...

Step 2) Find the easier multiple of 24 to subtract from 495 .

Let 240 is the easiest one then 495-240=255 and note 10 as first partial quotient.

Step 3)  Again subtracting 240 (as easier one) from 255 and note 10 as second partial quotient,we get 255-240=15 which is our remainder (as it is less than the divisor).

Step 4) add both the partial quotients=10+10=20→ Quotient


The quotient of 495 divided by 24 using partial quotients is 20, and the remainder is 15. This method simplifies the division by subtracting easily computable multiples of 24 from 495.

Nyree wants to divide 495 by 24 using partial quotients, a method where we break down a division problem into simpler pieces that we can solve in our head. For instance, knowing that 24 is close to 25, which is a quarter of 100, can help us simplify the problem. Let's start by subtracting multiples of 24 from 495 until we can subtract no more without going into negatives.

First, we know that 24 times 20 is 480, so we subtract 480 from 495, which gives us a partial quotient of 20 and a remainder of 15.Since 24 cannot go into 15, we stop here. Our total quotient, therefore, is 20 with a remainder of 15.

The quotient of 495 divided by 24 is 20, and the remainder is 15. Partial quotients make it easier to handle large numbers by breaking them into smaller, more manageable pieces.

-4 < -2(2 + 7x) + 6(x + 8)

Please help and show work!!

Answers

[tex]-4 < -2(2+7x)+6(x+8)\ \ \ \ |\text{use distributive property}\\\\-4 < (-2)(2)+(-2)(7x)+(6)(x)+(6)(8)\\\\-4 < -4-14x+6x+48\\\\-4 < (-14x+6x)+(-4+48)\\\\-4 < -8x+44\ \ \ \ |+4\\\\0 < -8x+48\ \ \ \ |+8x\\\\8x < 48\ \ \ \ |:8\\\\\boxed{x < 6}[/tex]

Simplify. (h + 12) + (p +24) a) hp + 288 b) hp + 36 c) 12h + 24p d) h + p + 36

Answers

(h+12) + (p+24)

h+p+12+24 = h+p+36

Answer:

12h + 24p

Step-by-step explanation:

A _______ should follow a dependent clause when the dependent clause comes first in a sentence.
1.  colon2. Comma
3. Period
4. Semicolon

Answers

I think it A hop this helps

it’s not A. colon it didn’t give me an answer

3/10 divided by 2/8 = ?

Answers

[tex]\dfrac{3}{10}\div \dfrac{2}{8}=\dfrac{3}{10}\div \dfrac{1}{4}=\dfrac{3}{10}\cdot4=\dfrac{3}{5}\cdot2=\dfrac{6}{5}[/tex]

On six books shelves there are 72 books per shelf.How many books are there altogether? If 1/3 of these are non-fiction how many fictional books are there?

Answers

Answer:Part 1:

Given:

Total shelves: 6

Books per shelve: 72

Total books = ?

Solution:

Total books: 6 * 72 = 432

                                                           Total books = 432

Part 2:

Given:

Fiction books = 1/3 of total books

Solution:

Nonfiction books = Total books - 1/3 of total books

                              =   432 - 1/3 * 432

                               = 432 - 166 = 266

                                           Non- fiction books = 266

In las vegas nevada stores charge 4.6% sales tax and a 2.65% county sales tax. Yukon is purchasing a handbag at $220 before tax. How much sale tax does tiki pay for her hand bag

Answers

choose whichever answer suits you...

Please help me!!! will give you brainlest.

Answers

4. The translation is considered an isometry or rigid motion. The figure's size, shape, area, etc has not changed. The only thing that changed is its position.

5. The rule stated means you shift the point 3 units to the right and 4 units up.

6. The rule would be (x,y) ---> (x-1, y-3) so we effectively subtract 1 from the x coordinate; subtract 3 from the y coordinate

7. Add 2 to the x coordinate to get x+2 = 2+2 = 4. Subtract 1 from they coordinate and we have 5-1 = 4. The point ends up at (4,4). Check out the attached image below.

What expression is equivalent to 9(4 + r)?

Answers

An expression equivalent to 9(4 + r) is 9 * 4 + r because the number on the outside of the parenthesis just means to distribute, which is multiply.
36+9r
by multiplying 9 &4 you get with 36. countinue multiplying and you also get 9r

Line Best Fit.

Is this the correct line best fit

Answers

Answer:

Yes this is the correct answer.

Step-by-step explanation:


Final answer:

The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line. The least-squares line is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met.

Explanation:

The question is asking about the line of best fit. The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line.

To determine if a line is the best way to fit the data, we can use various methods such as calculating the correlation coefficient or examining the scatter plot. For outliers, we can identify them if they are significantly different from the other data points and affect the overall trend of the data. The least-squares line, which is the line of best fit, is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met. The slope of the least-squares line represents the rate of change in the dependent variable (y) for a one-unit increase in the independent variable (x).

Order the expressions from least value to greatest value.

Answers

Answer:

5/-1.6<-3 3/10 - (- 7/20)< 5 6/15 + (-2 4/5) < -4.5 X -2.3

Step-by-step explanation:


Answer:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]

Step-by-step explanation:

In this case we have to calculate the value of each one of the terms and the organize it from the lowest to the highest, this is:

[tex]-3\frac{3}{10}-(-\frac{7}{20})=-2.59[/tex]

[tex]\frac{5}{-1.6} =-3.125[/tex]

[tex]5\frac{6}{15} +(-2\frac{4}{5} )=2.6[/tex]

[tex]-4.5*-2.3=10.35[/tex]

Now we can order the expressions, this is:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]

What’s the answer??? (SOMEONE PLEASE HELP)

Answers


[tex] \frac{ - 24 {x}^{4}{y}^{3} }{8 {x}^{6} {y}^{2} } = \frac{ - 3y}{ {x}^{2} }[/tex]

- [tex]\frac{3y}{x^{2} }[/tex]

separate the factors as products

[tex]\frac{-24}{8}[/tex] × [tex]\frac{x^{4} }{x^{6} }[/tex] × [tex]\frac{y^{3} }{y^{2} }[/tex]

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] if m > n

and [tex]\frac{1}{a^{(n-m)} }[/tex] if n > m

= - 3 × [tex]\frac{1}{x^{(6-4)} }[/tex] × [tex]y^{(3-2)}[/tex]

= - 3 ×  [tex]\frac{1}{x^{2} }[/tex] × y = - [tex]\frac{3y}{x^{2} }[/tex]



Use the substation to solve the system of equations. Y=x+1.75 4x-2y=4

Answers

so we need to plug in y into our equation so our new equation is:

4x - 2(x+1.75) = 4

first lets distribute the 2 by multiplying the values inside the parentheses by 2

4x - 2x + 3.5 = 4

4x - 2x = 2x

so now our equation is 2x + 3.5 = 4

we need to get x by itself on one side of the parentheses so lets move the 3.5 by subtracting by 3.5 on both sides

2x + 3.5 = 2x
4 - 3.5 = .5

new equation: 2x = .5

now to get rid of this 2 (being multiplied by x) we simply have to do the opposite - divide by 2 on each side

2x/2 = x
.5/2 = .25

so our x value is equal to .25!

if you have any questions about how i answered this question please let me know:)

At a college, 7 out of every 10 students worked either a full-time or part-time job in addition to their studies. If 4,900 students were enrolled at the college, how many students did not have a full-time or part-time job?

Answers

Remark

If 7/10 do have full or part time jobs then 3/10 do not.

That comes from 1 which represents all the students subtract 7/10 to get 3/10

Solution

Those without jobs = 4900 * 3/10 = 4900 *0.3 =  1470 that do not have any kind of job.

a cedar chest has a length that is 3 feet longer than its width and a height that is 1 foot longer than its width. The volume of the chest is 30 cubic feet. What is the width? 1 foot 2 feet 3 feet 6 feet

Answers

The answer is 2 feet.

Answer:

3

Step-by-step explanation:

The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the bloeprint is a rectangle 18inches by 22 inches, what are the dimensions of the yard

Answers

Answer:

36x44 feet are the dimensions of the yard.

Step-by-step explanation:

Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.

i.e. scaling factor is 1/2 for one foot.

If real dimension is 1 foot, it is shown as 1/2 inch in blue print.

Using this we can find the real dimensions if given blue print dimensions.

The blueprint is a rectangle 18inches by 22 inches,

Hence real length of rectangle = 18(2) feet = 36 feet

Width of rectangle = 22(2) = 44 feet

i.e. the yard has dimensions as 36x44 feet.

How do you. Get the answers for 72 ounces in 6 steaks =

Answers

You divide the answer and it will equal 12

What number represents the same amount as 33 3 3 hundreds ++ + plus 44 4 4 tens ++ + plus 1616 16 16 ones?

Answers

Answer: 3756


Step-by-step explanation:

33 x 100 = 3300

44 x 10   =    440

16 x 1      =      16

Total:         3756

The number represented by 33 hundreds plus 44 tens plus 16 ones is 3756, which is found by adding 3300 (33 times 100), 440 (44 times 10), and 16 (16 times 1) together.

The question involves adding numbers that compose a whole number through place values. In this case, we are looking at hundreds, tens, and ones. To solve this, we add up each group's contribution to the total. We have:

33 hundreds which is 33  * 100 or 330044 tens which is 44 * 10 or 44016 ones which is 16 * 1 or 16

Adding these together:

3300 + 440 + 16 = 3756

So, 33 hundreds plus 44 tens plus 16 ones represents the number 3756.

Which statement represents the biconditional statement of the conditional statements?

If the measures of two angles have a sum of 90º, then the angles are complements.

If two angles are complements, then their measures have a sum of 90º.




The measures of two angles do not have a sum of 90º if and only if the angles are complements.

The measures of two angles have a sum of 90º if and only if the angles are complements.

The measures of two angles do not have a sum of 90º if and only if the angles are not complements.

The measures of two angles have a sum of 90º if and only if the angles are not complements.

Answers

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

In one study, it was found that the correlation coefficient between two variables is -0.93.

Which statement is true?

A. There is a weak positive association between the variables.

B. There is a weak negative association between the variables.

C. There is a strong positive association between the variables.

D. There is a strong negative association between the variables.

Answers

the answer is d (i think) because anything aboveboard .90, whether it is positive or negative

Answer: D. There is a strong negative association between the variables.

Step-by-step explanation:

We know that when the value of the correlation coefficient lies between -1 to -.05 , then we say there is strong negative correlation between the variables.

OR

When the value of the correlation coefficient lies between 0.5 to 1, then we say there is strong positive correlation between the variables.

Given : In one study, it was found that the correlation coefficient between two variables is -0.93.

∵ -1< -0.93 <-0.5

Then , it  indicates that there is a strong negative association between the variables.

Help?? *****10 Points*****

Answers

Use the power rule (which says to multiply the exponents)

1) n⁴ˣ⁸ = n³²

2) x³ˣ⁻⁵ = x⁻¹⁵ = [tex]\frac{1}{x^{15} }[/tex]

3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵

Find the width (w)of a rectangular room with a length (l) of 60 meters and an area (a) of 2,400 square meters

Answers

To find the area of a rectangular shape, we need to have the length and width of the shape.

Here the room is rectangular in shape.

The length of the room is 60 meters and lets say the width of the room is 'w' meters.

The area of room is given which is 2,400 square meters.

The area of rectangle is given by:

[tex]length \times width[/tex]

Now, plugging the values of the length and width, we get:

[tex]Area = 60 \times width[/tex]

[tex]2400= 60 \times width[/tex]

Solving for width, we get:

[tex]Width= \frac{2400}{60} =40[/tex] meters.

So, the width of the rectangular room is 40 meters.

Answer:The answer is

Step-by-step explanation: W= 40 I just did the quiz on I ready

For carolina birthday her mom took her and 4 friendse to a waterpark.Carolina mom paíd 40 for 5 students tickets.What was the price for one student ticket

Answers

40 dollars per 5 students=9 dollars per 1 student

divide both sides by 5.

A news report says that 28% of high school students pack their lunch. Your high school has 60 students. How many students in your high school would you expect to pack their lunch?

Answers


[tex] \frac{28}{100} \times 60 = 16.8[/tex]

Kai is making a chessboard using pieces of wood that measure 1 square inch.
when he finishes, the chessboard will have an area of 64 square inches.
how many pieces of wood should he put along each side?


a.
64 pieces of wood

b.
642 pieces of wood

c.
8 pieces of wood

d.
82 pieces of wood

Answers

Answer:

The correct option will be:   c.  8 pieces of wood.

Step-by-step explanation:

Suppose, the number of pieces of wood along each side of the chess board is  [tex]x[/tex]

The area of each piece of wood is given as 1 square inch. So, the length of each piece of wood will be: [tex]\sqrt{1}= 1[/tex] inch.

And the total length of  [tex]x[/tex]  number of pieces of wood will be:  [tex]1x[/tex] inches.

Given that, the area of the chess board is 64 square inches. So, the length of each side will be:  [tex]\sqrt{64}=8[/tex] inches.

Thus, the equation will be.........

[tex]1x=8\\ \\ x=\frac{8}{1}=8[/tex]

So, he should put 8 pieces of wood along each side.

Answer: it will be 8

Step-by-step explanation: because 8×8=64

HEEEEEEEEEEEEEEEEEEEEEELP 10 POINTS math vocab 2 questions

Match the vocab with the definition

1. An expression that consists of numbers, operations, and sometimes grouping symbol.

2. The symbol of a math operation.

plus, minus, times, divided by, equals

A. Evaluate
B. Operator

Answers

Answer:

Number 1: Evaluate (A)

Number 2: Operator (B)


Final answer:

In mathematics vocabulary, an algebraic expression consists of numbers, operations, and grouping symbols. The symbol for a math operation like plus, minus, times, or equals is called an operator. (Option B)

Explanation:

To answer the student's math vocabulary questions:

An expression that consists of numbers, operations, and sometimes grouping symbols is called an algebraic expression.The symbol of a math operation such as plus, minus, times, divided by, equals is known as an operator.

Therefore, matching the vocab with the definition would result in:

1 - Algebraic Expression2 - Operator

These terms are fundamental in understanding algebra and performing equation manipulation.

Ben has 3 times as many guppies as goldfish.If he had a total of 20 fish,how many guppies does he have

Answers

Answer: 60 Guppies.


Step-by-step explanation: If Ben has 3 times as much guppies as goldfish then it is 3 x 20 which = 60.


Solve by factoring 2x squared -6 = x squared+48

Answers

x = ± 3√6

2x² - 6 = x² + 48 ( subtract x² from both sides )

x² - 6 = 48 ( add 6 to both sides )

x² = 54 ( take the square root of both sides )

x = ± √54 = ± 3√6


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