Example 3
L1 and 22 form a linear pair. If m_1 = 4 m22, find the measure of each of the two angles.

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

The explicit formula for arithmetic sequences is 200n - 162.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given sequence is 38, 238, 438, 638,

first trem a₁ = 38

Common difference d = 200

nth term = a₁ + (n-1(d

nth term = 38 + 200(n-1)

nth term = 200n - 162

To know more about arithmetic progression follow

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Answer: 42 ?

Step-by-step explanation:

Answer:

70 years old

Step-by-step explanation:

Lets say this man’s age is x

200- 2x= 60

2x=140

x=70

Answer:

6x - 4

Step-by-step explanation:

Perimeter is equal to double the length plus double the width, and if you use this to find perimeter, you would get that the perimeter = 2(2x-7)+2(x+5), which simplifies to 4x - 14 + 2x + 10, which simplifies to 6x - 4. That means that the rectangle's perimeter is 6x-4.

Answer: EG = 80

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.

The diagonals of a parallelogram bisect each other, which means, using the figure as example:

EJ = JG

So, to determine EG, first find w:

[tex]4w+4=2w+22[/tex]

[tex]2w=18[/tex]

w = 9

Substituting:

[tex]EJ=4w+4[/tex]

[tex]EJ=4(9)+4[/tex]

EJ = 40

Since each segment has the same measure:

EG = 2EJ

EG = 2(40)

EG = 80

The measure of EG is 80 units

Answer:

y axis is the top and bottom line like the straight line abd Example on the coordinate plane ut had two lines one jn the middle and one going across well the one going across is the x axis abs the one going straight is y axis so final answer Y axis us that

The answer is 20 meters.

Answer:

SAS

Step-by-step explanation:

Answer:

14 feet of wood

Step-by-step explanation:

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

Answer:

y=6x-6

Step-by-step explanation:

i think not sure tho

Answer:

y = 6x

Step-by-step explanation:

i just got it right on TTM

Answer:

the second option

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 45°

hypotenuse = 9

opposite = x

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{9} [/tex]

[tex] \sin(45) \times 9 = x[/tex]

[tex] \frac{9 \sqrt{2} }{2} = x[/tex]

[tex]x = \frac{9 \sqrt{2} }{2} [/tex]

Answer:

[tex]\huge\boxed{\sf The\ co-efficient\ of\ x\ is\ -4.}[/tex]

Step-by-step explanation:

Slope = m = -4

Y-intercept = c = -7 ( Because that is the point where x = 0 )

Equation:

[tex]\sf y = mx+c\\\\y = -4 x+(-7)\\\\y = -4x-7[/tex]

So, The co-efficient of x is -4.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

22500

Step-by-step explanation:

I'm not 100% sure

Given answer is wrong.

This is the solution:

60/3[150/2{6+3(17-14)}]

60/3[150/2{6+3(3)}]

60/3[150/2{6+9}]

60/3[150/2{15}]

60/3[150/30]

60/3[5]

60/15

4

Answer:

AB=13cm(h)

AD=10-3=7cm(b)

DB=?(p)

now, using Pythagoras theorem

h²=p²+b²

hope it helps.

Step-by-step explanation:

.........................

Answer:

1x+ -4y= -16

Step-by-step explanation:

y= 1/4x + 4

subtract 1/4x from both sides

-1/4x + y= 4

multiply both sides by -4

1x -4y= -16

Answer:

455.4,  So D

Step-by-step explanation:

You need to multiply 37.95 times 12 which gives you 455.4

Step-by-step explanation:

For the cubic function to be an increasing function, dy/dx > 0 for all real values of x.

dy/dx

= d/dx [4x³ + 4px² + 16x - 9]

= 12x² + 8px + 16.

We have 12x² + 8px + 16 > 0.

=> 3x² + 2px + 4 > 0,

where a = 3, b = 2p and c = 4.

For the quadratic function to have a range that is always positive, the discriminant must be less than 0.

(in order to have no real roots)

We have b² - 4ac < 0.

=> (2p)² - 4(3)(4) < 0

=> 4p² - 48 < 0

=> p² - 12 < 0

=> p² < 12

=> -√12 < p < √12

=> -2√3 < p < 2√3.

That was a very long process but hopefully you understand all of it!

Answer:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

Step-by-step explanation:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

Answer:

3x^2 + 5x + 4

Step-by-step explanation:

The expression for the height of the rectangle is found by dividing the expression for the area, 3x3 − x2 − 6x − 8, by the expression for the base, x − 2. Use synthetic division.

Answer:

45

Step-by-step explanation:

PQ = 45 units

Answer:

-3p3+ 5p2- 2p -p3 -8p2-15p

-3p3-p3+5p2-8p2-2p-15p

4p3-3p2-17p

Answer:

2:3

3:2

Step-by-step explanation:

0.1

Have a amazing day!!

Answer:

1/10 and in decimal form, it would be 0.1

Answer:

25.83%

Step-by-step explanation:

Answer:

Nicole is correct

Step-by-step explanation:

by multiplying the first equation by 3 it becomes:

3x + 6y =21

this can cancel the -3x in the second equation when adding them together

Answer:

Nicole is correct, since when she multiplied by 3, she cleared the x's, since one x was already negative, and the other one was positive. Michael is incorrect since when he multiplied by 2, he didn't realize that both y's were positive, so they didn't clear.

Step-by-step explanation:

Let's see what will happen if we do what Nicole says:

x+2y=7

-3x+4y=9

multiply the first equation by 3 on both sides

3(x+2y)=7(3)

3x+6y=21

-3x+4y=9

now let's add them.

10y=30

We can see that the x's are cleared, since one x is positive and the other is negative.

Now let's try what Michael says.

x+2y=7

-3x+4y=9

multiply first equation by 2

2(x+2y)=7

2x+4y=7

-3x+4y=9

now let's add

-x+8y=16

the y's aren't eliminated, since both of them are positive.

Nicole is correct, since one x is positive and another was negative, and when opposite numbers are added together, they  cancel out and equal zero.

Hope this helps!

Answer:

The property used is Symmetric property of Equality.

Option B is correct option.

Step-by-step explanation:

We are given :

[tex]AR \cong TY\\[/tex]

Which property will give the step:

[tex]TY \cong AR\\[/tex]

Looking at the options:

We see that Symmetric property states that if a = b then b= a

Same is the case with the question.

We have :

[tex]AR \cong TY\\\\TY \cong AR\\[/tex]

If a = AR and b = TY

then the property is: a = b, b=a

So, the property used is Symmetric property of Equality.

Option B is correct option.

Answer:

x = -2

y = 5

Step-by-step explanation:

2x - 3y = -19  ---------------------------(I)

7x+ 7y = 21  -----------------------------(II)

Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x

(I)*7              14x - 21y = - 133

(II)* 3           21x + 21y = 63          {Now add}

                   35x          = -70

                                x = -70/35

x = - 2

Plug in x = - 2 in equation (I)

2*(-2) - 3y = -19

-4 -  3y  = -19

     -3y = -19 + 4

     -3y = -15

         y = -15/-3

y = 5