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Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = [tex]\frac{1}{3}[/tex]

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{-13+12}{12-15}[/tex]

   = [tex]\frac{1}{3}[/tex]

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = [tex]\frac{-9+7}{18-24}[/tex]

          = [tex]\frac{1}{3}[/tex]

Both the lines are parallel having no point of intersection.

Option C

Slope = [tex]\frac{-20+21}{15-18}[/tex]

          = [tex]-\frac{1}{3}[/tex]

Therefore, both the lines will intersect.

Option D

Slope = [tex]\frac{-15+14}{30-36}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other.

Option E

Slope = [tex]\frac{-11+10}{24-30}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

Answer:

c

Step-by-step explanation:

180-24-30=126

3x-9=126

3x=135

x=45

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.

Answer:

x = 4

Step-by-step explanation:

We have the algebraic expression 3x + 16 = 7x and are asked to solve.

When we need to solve for x, we need to get x alone always.

So 3x + 16 = 7x.

Subtract 3x from both sides :

16 = 4x

Divide 4 from both sides :

x = 4

Answer:

[tex] \large \boxed{x = 4}[/tex]

Step-by-step explanation:

Goal

Given

[tex]3x + 16 = 7x[/tex]

Step 1

[tex]16 = 7x - 3x \\ 16 = 4x[/tex]

Step 2

[tex] \frac{16}{4} = x \\ 4 = x[/tex]

Step 3

[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]

The equation is true for x = 4. Hence, the solution is x = 4

Answer:

first pays 60

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 your answer is correct it is 9

Step-by-step explanation:

Answer:your correct! btw heyy

Step-by-step explanation:

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:

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:

m = -1/3

Step-by-step explanation:

By using rise over run, the slope is going 1 down and 3 across.

Answer:

-63

Step-by-step explanation:

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:

s=6

Step-by-step explanation:

Hope this helps :)

The value of s for the given expression 3(s + 4 = 30 will be 6.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

3(s + 4) = 30

Divide both sides by 3

s + 4 = 10

Subtract both sides by 4

s + 4 - 4 = 10 - 4

s = 6

Hence "The value of s for the given expression 3(s + 4 = 30 will be 6".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

Answer:

5

Step-by-step explanation:

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.

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

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:

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:

C ASA

Angle side Angle.....

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:

12 is the answer

Step-by-step explanation:

12 is the answer

Answer:

11

Step-by-step explanation:

33÷3= 11

11 shows every month

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

A = 119.4in^2

hope it's helpful ❤❤❤❤

THANK YOU.

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:

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:

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

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: