ARITHMETIC SEQUENCES
11. (16) An arithmetic sequence has a common
difference of 4 and the 3rd term is 6. What is the
7 th term?
A. 14
B. 22
C. 34
D. 18

Answer:

Length of JK is 68.27 units.

Step-by-step explanation:

By applying geometric mean theorem (leg theorem) in the triangle attached,

[tex]\frac{KL}{KM}= \frac{JK}{KL}[/tex]

(KL)² = (KM)(JK)

(32)² = (15)(x)

x = [tex]\frac{1024}{15}[/tex]

x = 68.2666

x ≈ 68.27

Therefore, length of JK is 68.27 units.

Given:

A figure in which a transversal line intersect two parallel lines.

[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].

To find:

The value of x and y.

Solution:

We know that, if a transversal line intersect two parallel lines, then

(1) Alternate exterior angles are equal.

(2) Same sided interior angles are supplementary. So their sum is 180 degrees.

In the given figure j and k are parallel lines and l is a transversal line.

From the given figure, it is clear that,

[tex]m\angle 2=m\angle 7[/tex]                (Alternate exterior angles are equal)    

[tex]4x+7=5x-13[/tex]

[tex]7+13=5x-4x[/tex]

[tex]20=x[/tex]

Therefore, the value of x is 20.

Now,

[tex]\angle 3+\angle 5=180[/tex]     (Same sided interior angles are supplementary)

[tex]3y-2+68=180[/tex]

[tex]3y+66=180[/tex]

[tex]3y=180-66[/tex]

[tex]y=\dfrac{180-66}{3}[/tex]

[tex]y=\dfrac{114}{3}[/tex]

[tex]y=38[/tex]

Therefore, the value of y is 38.

Answer:

10 parts red paint

Step-by-step explanation:

she doubled the amount of yellow paint in the can at home, so you will need to add twice the amount of red paint. 7×2=14, 14-4= 10.

A = 119.4in^2

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

5

Step-by-step explanation:

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

Answer:

x = -2 and y = 2

Step-by-step explanation:

The given equations are :

-5x-2y=6 ...(1)

3x+6y=6 ...(2)

Multiply equation (1) by 3. SO,

-15x-6y=18 ...(3)

Adding equation (2) and (3).

3x+6y-15x-6y = 6+18

-12x = 24

x = -2

Put the value of x in equation (1).

-5(-2)-2y=6

10-2y=6

4=2y

y = 2

So, the value of x is -2 and y is 2.

Answer:

5

Step-by-step explanation:

This is a right angle which means it is equal to 90. The angle is separated into two parts as shown - the sum of these two parts is equal to 90.

Calculations:

9y - 6 + 51 = 90

9y + 45 = 90

9y = 45

y = 5

Answer:

a= 80

b= .25

Step-by-step explanation:

We know that a has to equal 80 because

[tex]a(b)^0=80\\a=80[/tex]

We can then just solve for b

[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]

Answer:

A

B

C

D

E

Step-by-step explanation:

You need 180 or 360 degrees to make a Cyclic Quadrilateral.

So, if you add all of the expressions. You get 360.

Hopefully, you get it right!

Answer:

56 dollars are earned for recycling 28 pounds of copper.

Step-by-step explanation:

Quantity of copper recycled = [tex]p[/tex] pounds

Amount earned in dollars for recycling [tex]p[/tex] pounds of copper = [tex]2p[/tex]

Also,

Quantity of copper recycled = [tex]28[/tex] pounds

Therefore,

Amount earned in dollars for recycling [tex]28[/tex] pounds of copper = [tex]2(28)=56[/tex] dollars

So,

56 dollars are earned for recycling 28 pounds of copper.

Answer:

F(x) = 43/16 (43 over 16)

Answer your answer is correct it is 9

Step-by-step explanation:

Answer:your correct! btw heyy

Step-by-step explanation:

Answer:

-3g-24

Step-by-step explanation:

4(g-6)-7g

= 4g-24-7g

= -3g-24

Answer:

12 is the answer

Step-by-step explanation:

12 is the answer

Answer:

5 * 10^-5 W

1.23 * 10^-2 J

Step-by-step explanation:

Given that :

Area = 5 * 10^-5 m²

Threshold of Pain = Intensity = 1.00 W/m2

Using the relation:

Intensity = power / Area

Hence,

Power = Intensity * Area

Power = 1 W/m² * 5 * 10^-5 m²

Power = 5 * 10^-5 W

Energy transferred to eardrum. Exposed for 4.10 minutes :

Using the relation :

Energy = Power * time

Energy = 5 * 10^-5 * (4.10 * 60 seconds)

Energy = 5 * 10^-5 W * 246 s

Energy = 0.0123

= 1.23 * 10^-2 J

Answer:

The solutions are x = -7 and x = -9

Step-by-step explanation:

All absolute values are non-negative numbers, so x + 8 will always be greater than 0. This means that |x + 8| = 1 can be represented as x + 8 = 1 AND x + 8 = -1.

x + 8 = 1 ⇒ x = -7

x + 8 = -1 ⇒ x = -9

So the solutions are x equals -7 or -9.

Answer:

7

Step-by-step explanation:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

5 x 9.8 = 49

√49 = 7

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

Answer: -260

Step-by-step explanation:

Answer:

-260

Step-by-step explanation:

First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.

So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.

So, -320 + 60 = -260

Answer:

guy above me is wrigth. If you have any doubts see the picture.

Step-by-step explanation:

Hope it helps and mark as brailiest pleasee

Answer:

Answer:

c

Step-by-step explanation:

180-24-30=126

3x-9=126

3x=135

x=45

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

6

Step-by-step explanation:

It goes up 6 and 1 across 6/1 = 6

Answer: 6

Step-by-step explanation:

The easiest way to find slope is by [rise/run] or literally the y value over the x value. In this way, you need to find two points that are on the intersections of the gridlines, then count the units in between

---------------------------------------------------------------------------

(-8, 4) (-9, -2)

 Rise/run

= 6/1

= 6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

11

Step-by-step explanation:

33÷3= 11

11 shows every month

9514 1404 393

Answer:

  a)  x = ±5

  b)  x = ±√11 ≈ ±3.317

Step-by-step explanation:

Since we want x for some function value, it is convenient to determine the inverse function.

  x = g(y)

  x = y^2 -5

  x +5 = y^2

  y = ±√(x +5)

__

a) x = ±√(20 +5) = ±5

b) x = ±√(6 +5) = ±√11 ≈ ±3.317

Answer:

-2, 0, and 2

Step-by-step explanation:

For x=0:

2(0) -2

0-2

-2

For x=1:

2(1)-2

2-2

0

For x=2:

2(2)-2

4-2

2

Answer:

its -1, 0, 2

Step-by-step explanation: