Part C Find the length and width of rectangle NEHI, and calculate its area.

Answer:

565.3 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle KLM:

∠K + ∠L + ∠M = 180° (sum of angles in a triangle)

∠K + 107 + 18 = 180

∠K + 125 = 180

∠K = 55°

We can find the length of k using sine rule:

[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]

[tex] {m}^{2} - 256 = ( x - 16)(x + 16)[/tex]

Therefore, none of these.

Answer: i Think it would be 80

Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though

Answer:

SAS Congruency (see below)

Step-by-step explanation:

First, prove the two triangles congruent:

You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.

If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.

For a flow chart proof for this, refer to the image:

Answer:

An equilateral triangle has all its 3 angles the same.

Hope this helped. :)  

Equilateral triangle:

An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.

Additionally, an equilateral triangle has three equal angles of 60 degrees.

Equilateral Triangle Perimeter:

In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.

In the event that ABC is an equilateral triangle, then its perimeter is;

Perimeter = AB + BC + AC

P = a + a + a

P = 3a    [where "a" is the triangle's side length.]

To read more about "Equilateral Triangle" here:

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Answer:

19/5

Step-by-step explanation:

hope it helps

Answer:

19/5 = 3 4/5

Step-by-step explanation:

hope this helps

Answer/ explaination

the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8

Answer:

58

Step-by-step explanation:

57.5 round up. 58

Answer:

X=48

Step-by-step explanation:

x^2+y^2=z^2

but in this case it's z^2-y^2=x^2

so 73^2= 5329

and 55^2=3025

5329-3025=2304

Square Root of 2304 is 48, meaning X=48

Hope this helps!

Hey there!

Okay, so when you get a problem like this, all you need to do in insert the given value into the function and solve.

For example:

As you can see, they state that (a) = 27, so you insert 27 in for a in the function and it will look like this:

h(27) = 3(27) + 5

Now you solve on the right side of the equal sign:

3(27) = 81 (you multiply them)

81 + 5 = 86

When you plug the value of 27 in for a in this function, your output is equal to 86.

Answer: 22/3 or 7,(3)

Solution:

h(a)=3a+5

h(a)=27

3a+5=27

3a=27-5

3a=22

a=22/3

a=7,(3)

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer:

the answer is 600!

Step-by-step explanation:

the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!

Answer:

300+20x, 600 total copies created.

Step-by-step explanation:

x= number of days.

20 papers per day.

20(15) is 300.

300+300=600

Answer:

D: A(x) = 4x² + 40x + 96

Step-by-step explanation:

Dimensions of photo is;

Length; L = 12 inches

Width; W = 8 inches

Now, this picture is surrounded by a frame that is "x" inches wide. Thus, new dimensions are;

L_new = 12 + x + x = 2x + 12

W_new = 8 + x + x = 2x + 8

New area is;

A_new = (2x + 12) × (2x + 8)

A_new = 4x² + 24x + 16x + 96

A_new = 4x² + 40x + 96

Answer: The system of equations is

40x + 55y = 920

40x + 65y = 1000

x is the cost of the adult ticket; y is the cost of the child ticket

Step-by-step explanation:

If you have to solve this, elimination is a good method.

Subtract the top equation from the second equation.

40x + 65y = 1000

-40x + 55y = 920  x cancels  Solve for y

0  + 10y  =  80    Divide both sides by 10

y  = 8 .  Substitute 8 for y in either equation and solve for x

40x + 65(8) = 1000

40x + 520 = 1000   Subtract 520 from both sides

  40x = 1000 - 520

40x = 480   Divide both sides by 40

x = 12  

Answer: 35

because the sequence is given by the rule 4n -5 => a(n) = 4n - 5

the tenth term in the sequence is a(10) = 4.10 - 5 = 35

Step-by-step explanation:

Answer:

$4,725

Step-by-step explanation:

multiply 4,500x0.07=225 add that to 4,500

1.5 km per hour

ngl i could be wrong :/

Answer:

22/44, divide both sides by 22, then you would got 1/2

1/2. This is because 22 is half of 44, so we can simplify it into 1/2.

Answer:

y= 1/18x + 14

Step-by-step explanation:

Well we can first right the equation like  :  to find the slope

14- 15

____  = -1/-18 = 1/18

0-18

Now we know  the slope is 1/18

we can substitute one point in the equation and the slope to find the equation

let's take 0,14

14= 1/18 ( 0 ) + b

14=b

so b= 14

the y-intercept is 14

the equation is

y= 1/18x + 14

Answer:

11

Step-by-step explanation:

well you have to multiply and divide

Answer:

-4

Step-by-step explanation:

Answer:

negative:-7, -8, -9

positive: 8,4,6

Step-by-step explanation:

Answer:

5 and -5

Step-by-step explanation:

you could use a number line and make it go two ways from 0, any number to the left is negative, any numbers right are positive.

Answer:

I believe its 2/3

Step-by-step explanation:

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

The quadratic equation is

3x^2+ 27x + 60

Step-by-step explanation:

Here, we have the roots -5 and -4 and the leading coefficient of 3

Mathematically, we simply have this done to the roots;

x = -5 implies x+ 5

x = -4 implies x + 4

The product of this two will be;

(x + 5)(x + 4)

= x^2 + 5x + 4x + 20

= x^2 + 9x + 20

we add the leading coefficient

that would be;

3(x^2 + 9x + 20)

= 3x^2 + 27x + 60

Answer:

the answer is 1.7320508076

Area of given rectangle = 24 square inches.

The correct option is C.

A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).

Given,

Length of rectangle = 12 inches

Width of rectangle = 2 inches

Area of rectangle = length × width

                             = 12 × 2

Area of rectangle = 24 square inches.

Hence, 24 square inches is the area of rectangle.

Learn more about rectangle here:

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Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100