In ALMN, l= 97 cm, m = 52 cm and ZN=39°. Find ZL, to the nearest degree.

The length of KL with the given ratio is 25 units

The given parameters are:

IJ : JK : KL is equal to 2 : 5 : 5

IL = 60

Rewrite properly as:

IJ : JK : KL = 2 : 5 : 5

This means that the length of KL

KL = KL ratio/Sum of ratios * IL

So, we have

KL = 5/(2 + 5 + 5) * 60

Evaluate the sum

KL = 5/12* 60

Divide 60 by 12

So, we have

KL = 5 * 5

Evaluate the product

KL = 25

Hence, the length of KL with the given ratio is 25 units

Read more about line segments at:

https://brainly.com/question/14366932

#SPJ1

Answer:

y = -3x -34

Step-by-step explanation:

m= -3

plug the point in to find b

slope intercept form: y=mx+b

-7 = -3(-9) +b

-7 = 27 = b

-7 -27 = b

b= -34

plug in the m and b you found into the final equation:

y = -3x -34

Answer:

y = -3x -34

Step-by-step explanation:

The standard deviation is 6.09

The variance is 37.04.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

In order to determine the standard deviation, take the following steps:

(162 - 170.40)² + (166-  170.40)² + (179 -  170.40)² + (170 -  170.40)² + (175 -  170.40)²

70.56 + 19.36 + 73.96 + 0.16 + 21.16 = 185.20

√185.20 / 5 = 6.09

Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset.

6.09² = 37.04

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

The scale factor used to draw is 7.2

The size by which the shape is enlarged or reduced is called as its scale factor.

Given:

5 inches = 1 yard

Now, we know that

1 yd = 3 ft

now, to  Convert yards to inches

1 yd = 3 x 12

i yards = 36 inches

and, the scale factor is

=36 ÷ 5

= 7 1/5

= 7.2

Learn more about scale factor here:

https://brainly.com/question/13194929

#SPJ2

Since f(x) appears to admit a local minimum at the point of abscissa zero, then the tangent drawn at that point must admit a slope equal to zero.

[tex]{ \blue{ \tt{option(d)}}} \: { \boxed{ \red{ \sf{181.097}}}}[/tex]

Step-by-step explanation:

[tex] \: \: \: \: 235.987[/tex]

[tex] - \: \: \: 54.89[/tex]

_______________

[tex]{ \boxed{ \red{ \sf{= 181.097}}}}[/tex]

The hospital needs to employ 21 nurses, 7 for each shift.

So, there are 3 shifts in a day and 7 nurses are needed for each shift.

Then,

Therefore, 21 nurses are needed, 7 for each shift.

Know more about permutations and combinations here:

https://brainly.com/question/4658834

#SPJ1

The complete question is given below:
During each shift, there are 7 nurses needed at each ward. If there are three shifts in a day, each nurse only can be on duty for one shift each day. How many more nurses does the hospital need to employ?

The percentage of matter in the ore that is neither gold nor diamond is 99.9388%.

In the question, we are given that a sample of ore is found to be 0.0022% gold and 0.059% diamond.

We are asked for the percentage of matter in the ore that is neither gold nor diamond.

We know that in any quantity, the total is shown as 100%.

If we assume the percentage of matter in the ore that is neither gold nor diamond to be x%, then using the above theory, we can say that;

x% + 0.0022% + 0.059% = 100%.

This can also be shown as:

x + 0.0022 + 0.059 = 100, which can be simplified as:

x + 0.0612 = 100, which can be solved by subtracting 0.0612 from both sides to get:

x = 100 - 0.0612 = 99.9388‬.

Thus, the percentage of matter in the ore that is neither gold nor diamond is 99.9388%.

Learn more about percentages at

https://brainly.com/question/13211287

#SPJ9

Answer: 72.8 and 0.21

Answer:

72.8888888889

and

0.5142857143

The correct option  D. x = 9, y = 7; obtained by the elimination method.

Now, as per the given question;

The equations are-

0.12x − 0.09y = 0.45 (multiply both side with 100)

12x - 9y = 45 ......equation 1

and,

-0.3x + 1.6y = 8.5 (multiply both side with 40)

-12x + 64y = 340 .......equation 2

Add equation 1 and 2;

55y = 385

y = 5

Put y = 5 in equation 1

12x = 45 + 45

x = 9

Thus, the values of the variables are obtained as (x = 9) and ( y = 7).

To know more about the elimination method, here

https://brainly.com/question/24078509

#SPJ9

The correct question is-

Use the elimination method to solve the system of equations below.

0.12x − 0.09y = 0.45

-0.3x + 1.6y = 8.5

Choose one • 4 points

A. x = −15, y = 7

B. x = 5, y = 7

C. x = 9, y = 5

D. x = 9, y = 7

The wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

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

Now, the given equation for photon energy, E , is

E = hcλ

Here, h = 6.626×10^−34 J⋅s (Planck's constant) and

c = 2.99×10^8 m/s (the speed of light)

Therefore, we have

E = hcλ

⇒ λ = E/hc

Put the values of E, h and c we get,

λ = 4.26×10^−19 / (6.626×10^−34*2.99×10^8)

Solving we get,

λ = 4.26×10^−19 / 19.81×10^(−34+8)

⇒ λ = 4.26×10^−19 / 19.81×10^-26

⇒ λ = (4.26/19.81)*10^(-19+26)

⇒ λ = 0.215042×10^5 meter

⇒ λ = 21504.29 meter

Thus, the wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

To learn more about equation :

brainly.com/question/2273153

#SPJ1

Answer:

x = -4

Step-by-step explanation:

A perpendicular bisector is a line that divides the existing line or shape evenly and at 90° angles. First, we want to find the center point of our existing line. In this case, the center sits right at x = -4. Since the existing line is y = 3 and it is perfectly horizontal, we don’t need to do anything further. Our perpendicular bisector is x = -4.

*** When the existing line is y = [singular number], the perpendicular bisector will always be x = [midpoint of existing line], and vice versa.

Hope this helps!

Answer:

160

Step-by-step explanation:

1 is in 10s place 16x10=160

the measure of m22 =  98°  by linear pair .

What is  linear pair?

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Given ,    mz1 = (4x + 50)°

               mz3 = (2x + 66)°.

a)  mz1  =   mz3

     (4x + 50)° =  (2x + 66)°

      4x - 2x  = 66 - 50

           2x =   16°

             x = 8°

b)     mz3 = (2x + 66)°.

      put value of x

     2x + 66 = 2 * 8 + 66

                   = 16  + 66  ⇒    82°

c)  mz2 =  ∠ 1 + ∠ 2 = 180°               { linear pair }

                4x + 50 + ∠2 = 180°

                  4 × 8 + 50 + ∠2 = 180°

                  82° + ∠2  = 180°

                        ∠2 = 180° - 82°

                         ∠2 = 98°

Learn more about linear pair

brainly.com/question/17525542

#SPJ9

The number of videos will be 3 and the number of CDs will be 2.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $78.61 on the gifts.

The number of the videos and CD will be calculated by forming an equation:-

14.95x + 16.88y = 78.61

From heat and trial, we put x = 3 and y = 2 then calculate.

14.95 x ( 3 )  + 16.88 x ( 2 ) = 78.61

44.85 + 33.76 = 78.61

78.61 = 78.61

Therefore, the number of videos will be 3 and the number of CDs will be 2.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

For the function f(x) = 9x f(x + h) - f(x) construct and simplify the difference quotient h 3 1 The difference quotient for f(x) = is 9x

Step-by-step explanation:

The value of m would be 7 if XZ is the angle bisector of the angle ∠WXY which are the angles ∠WXM and ∠YXZ would be 42°.

An angle bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

We have been given that XZ is the angle bisector of angle WXY.

⇒ ∠WXM = ∠YXZ

Solve for m

⇒ 10m -28 = 5m + 7

⇒ 10m - 5m = 28  + 7

⇒ 5m = 35

⇒ m = 35/5

⇒ m = 7

So ∠WXM = 10(7) -28 = 42

And ∠YXZ = 5(7) + 7 = 42

Therefore, the value of m would be 7.

Learn more about Angle bisector here:

brainly.com/question/2478436

#SPJ1

angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

What in mathematics is a parallelogram?

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Learn more about parallelogram

brainly.com/question/19187448

#SPJ9

The required simplified solution for the given logarithm expression is y = 3 / 2x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the given expression,
ln(3) - ln(2) + ln(1/x) = ln (y)
ln(3) + ln(1/x) =  ln(2) + ln(y)
By the property of logarithm,
3/x = 2y
y = 3 / 2x

Thus, the required simplified solution for the given logarithm expression is y = 3 / 2x

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ1

Answer: 75°

Step-by-step explanation:

Solution;

Here:. let, one angle be x

From the question ,

x+15=90(Being sum of complementary angle)

x=90-15

x=75

If checking account has $17,532,car (paid off) is $12,225,retirement savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.

Given that checking account has $17,532,car (paid off) is $12,225, retirement savings are $43,675,Credit Card Debt is $7,876,Home Loan Balance has $65,225.

We are required to find the net worth of the Tanner family.

Net worth is basically the value of the assets a person or corporation owns, minus the liabilities they owe.

Net worth=Checking account+Car +Retirement savings-credit card debt-Home loan balance

=17532+12225+43675-7876-65225

=$331

Hence if checking account has $17,532,Car (paid off) is $12,225 ,retirement Savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.

Learn more about net worth at https://brainly.com/question/12371230

#SPJ1

The slope of the line having the points ( -1 , 8 ) and ( 8 , 9 ) is 1 / 9.

We are given the two points:

( -1 , 8 ) and ( 8 , 9 )

We need to find the slope of the line that contains these two points.

We know that the formula for calculating the slope of the line is given by:

m = y₂ - y₁ / x₂ - x₁

Here, we have:

x₁ = - 1                     y₁ = 8

x₂ =  8                     y₂ = 9

Substituting the values in the formula, we get that:

m = 9 - 8 / 8 + 1

m = 1 / 9

Therefore, the slope of the line having the points ( -1 , 8 ) and ( 8 , 9 ) is 1 / 9.

Learn more about slope here:

https://brainly.com/question/1884491

#SPJ9

Answer:

(9+b)+(10+s)

Step-by-step explanation:

The required probability is given by  P(E') =4/35  .

Probability is the study of chance. It can also be defined as the ratio of the favorable outcomes to an event to the total number of outcomes of the event.

Given the total number of people in the USA = 273000000

Let E be the number of people who speak English at home.

Therefore the number of people who don't speak English at home is E'.

∴ E' = 31200000

S speak Spanish in their homes.

∴ S = 50% of 31200000 = 15600000

Now let us find the required probabilities.

We know that probability = favorable outcome ÷ total outcome

total outcome = 273000000

a) favorable outcome(E') = 31200000

P(E')=31200000/273000000

P(E') =4/35

b)favorable outcome(E) = 273000000 - 31200000 = 241800000

P(E) = 241800000/273000000

P(E)={31}/{35}

c)favorable outcome = 15600000

P(S)={15600000}/{273000000}

P(S)={2}/{35}

Therefore the required probability is given by P(E') =4/35 , [tex]P(E)=\frac{31}{35}[/tex] P(E)=31/35 and P(E)=2/35and .

To learn more about probability visit:

https://brainly.com/question/16484393

#SPJ1

Answer:04,6and 12

Explation:factors are numbers which divide the original number without leaving a remainder.The factors are:1,2,3,4,6,8,12,16,32,48and 96

The probability that the customer is at least 30 but no older than 60 is o.45, that the customer is either older than 60 or younger than 40 is 0.68 and that the customer is at least 60 is 0.22.

We have the data:

  Age                 Number of Customers

 < 20                                78

20 - 30                             58

30 - 40                             53

40 - 50                             77

50 - 60                             52

 > 60                                91

The probability that the customer is at least 30 but no older than 60 will be:

P = 182 / 409

P = 0.45

The probability that the customer is either older than 60 or younger than 40 will be:

P = 280 / 409

P = 0.68

The probability that the customer is at least 60 will be:

P = 91 / 409

P = 0.22

Therefore we get the probability that the customer is at least 30 but no older than 60 is o.45, that the customer is either older than 60 or younger than 40 is 0.68 and that the customer is at least 60 is 0.22.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ9

the one you highlighted is right!

Answer:

The highlighted one is correct!

Answer:

Step-by-step explanation:

61.407

Answer:

248.3

Step-by-step explanation:

61% of 407

61% = 0.61

0.61 * 407 = 248.27

248.27 = 248.3

248.3