Triangle ΔGHI with m∠G = 5°, m∠H = 75° and m∠I = 100°, is reflected across the y-axis to obtain ΔKLM. What is the measure, in degrees, of ∠L?

Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation:

Answer:

56

42

35

Step-by-step explanation:

Answer: ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm WHAT IS THIS!!!!!!!!!!!!!! THIS IS NOT MATH I MEAN IT COLD BE AND WHAT GRADE MATH IS THIS!!!!!!!!!!!!!!!!!!!!!!!!

*_*

Step-by-step explanation:

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

Answer:

C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

Step-by-step explanation:

Correct on TTM

Answer:

C

Step-by-step explanation:

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

Answer:

the third one

Step-by-step explanation:

Answer:

The 3rd

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

The percentage of the yearly labour cost for the parking staff is 9%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that if the total labour cost is $865,000 and $78,000 is for parking attendants.

The percentage of the yearly labour cost for the parking staff is calculated below:-

Percentage = 78000 / 865000

Percentage = 0.09 x 100

Percentage = 9%

Therefore, the percentage of the yearly labour cost for the parking staff is 9%.

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Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

Answer:

x=1

Step-by-step explanation:

Add

16

to both sides of the equation.x=−15+16 Add −15 and 16.x=1

Answer:

Step-by-step explanation:

-16 + x = - 15

Add 16 to both sides

-16 + 16 + x  = -15 + 16

              x = 1

Answer:

$552.90

Step-by-step explanation:

There are 52 weeks in a year

28,751/52= 552.9038462

since this is money you just round

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

Answer:

x= -5

Step-by-step explanation:

-2x+10=20

-2x+10-10=20-10

-2x=10

-2x/-2=10/-2

x = -5

Answer:

8

Step-by-step explanation:

i did that answer and i got it right

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

The angle is 68.2 degrees

Step-by-step explanation:

Let us have the shorter side as the width

In that case, the opposite will be the length which is 8 cm

The diagonal is the hypotenuse

The short side is the adjacent

The trigonometric ratio that links the opposite and the adjacent is the tan

tan of an angle is the ratio of its opposite to the adjacent

In this case,

tan theta = 8/3.2

theta = arc tan (8/3.2)

theta = 68.2 degrees

Answer:

1 and 3

Step-by-step explanation:

Answer:

The answer is

[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

Let The point (X, Y)

Since half of the diameter is equal to 1

Then

[tex] {x}^{2} + {y}^{2} = 1[/tex]

Why is the measurement of angle is equal to 60, this triangle was equal

Then

[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]

By comparing the equals together

[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]

Given:

A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.

The land is [tex]2\dfrac{1}{2}[/tex] miles long.

To find:

The width of the rectangular land.

Solution:

We have,

Area of a rectangle =  [tex]\dfrac{3}{4}[/tex] square mile.

Length = [tex]2\dfrac{1}{2}[/tex] miles

We know that, area of a rectangle is

[tex]A=l\times b[/tex]

[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]

[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]

[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]

Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get

[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]

[tex]\dfrac{6}{20}=b[/tex]

[tex]\dfrac{3}{10}=b[/tex]

Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.

Answer:

Attached

Step-by-step explanation:

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

Answer:

14

Step-by-step explanation:

delta math gave me the answer

The length of a to the nearest 10th of an inch is 13.6 inches.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

In ΔQRS q=9.6 inches r=9.9 inches and S=92.

So, s² = q² + r² - 2qr cos s

s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.

s² = 190.71 + 190.08 x (-0.035)

s² = 183.52

s = 13.55

s = 13.6 inches

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]