Which theorem or postulate justifies this statement?

∠8≅∠10

alternate interior angles theorem
corresponding angles postulate
alternate exterior angles theorem
vertical angles theorem
linear pair postulate

The figure shows parallel line segments G N and F H rising slowly from left to right with segment G N above segment F H. Line segment K L falls steeply from left to right, first intersecting segment G N and then segment F H. Line segment M J rises steeply from left to right, first intersecting both segment F H and segment K L at their point of intersection and then intersecting segment G N. The 4 angles at the intersection of segments G N and K L are numbered from 1 through 4 in a clockwise direction with angle 1 above segment G N and to the left of segment K L. The 4 angles at the intersection of segments G N and J M are numbered from 5 through 8 in a clockwise direction with angle 5 above segment G N and to the left of segment J M. The 6 angles at the intersection of segments F H, K L, and J M are numbered from 9 through 14 in a clockwise direction with angle 9 above segment F H, to the right of segment K L, and to the left of segment J M.

Answer:

[tex]4 \times 10 {}^{ - 4} [/tex]

Thank you ☺️

Answer:

About 21 houses in 7 days

Step-by-step explanation:

Answer:

x = 4k

Step-by-step explanation:

6kx = 4kx + 8

The first step in solving for x is to get both numbers with kx on the same side. Move the 4kx to the left side of the = by subtracting 4kx from each side.

2kx = 8

Next, move the 2k to the right side of the = by dividing both sides by 2k

x = 8/2k

The last thing to do is to simplify the equation by making the 8/2 to 4/1 or 4.

x = 4k

Answer:

x= -10

Step-by-step explanation:

-8x+10x+20=0

2x+20=0

2x=0-20

2x=-20

x=-20/2

x= -10

Answer:

x = -10

Step-by-step explanation:

8x (-10x)= 10x +20 (-10x)

subtract 10x from both sides of the equation

-2x/-2 = 20/-2

divide both sides by -2

x = -10

Answer:

1. no

2. yes

Step-by-step explanation:

Given:

Bedroom is a rectangle with length 5 m and width 3 m.

Elena's bedroom door is 0.08 m.

Elena's bed measures 4 cm by 3 cm.

Scale of drawing is 1 to 50.

To find:

The width of door on the scale drawing.

Actual measurements of her bed.

Step-by-step explanation:

Scale of drawing is 1 to 50.

It means, the length of sides in drawing is [tex]\dfrac{1}{50}[/tex] of actual.

Elena's bedroom door is 0.08 m.

1 m = 100 cm

0.08 m = 8 cm

Door on the scale drawing [tex]=\dfrac{1}{50}\times 8[/tex]

                                             [tex]=0.16[/tex]

Therefore, the Door on the scale drawing is 0.16 cm wide.

Elena's bed measures 4 cm by 3 cm on the scale drawing.

Elena's bed actual measurements are

[tex]4\times 50=200cm=2m[/tex]

[tex]3\times 50=150cm=1.5m[/tex]

Therefore, the actual measurements of her bed is 2 m by 1.5 m.

Answer:

-7

Step-by-step explanation:

(4+3)x(4-3)

4+3=7

4-3=-1

7x-1= -7

Answer:

mode is 39

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer: 5/4

Step-by-step explanation:

Slope = rise over run

Up 5 over to the right 4

Answer:

The slope of the line is  [tex]\frac{-5}{3}[/tex] ⇒ D.

Step-by-step explanation:

The rule of the slope of a line is

Use the given figure to find two points on the line

→ From the given figure

∵ The line passes through points (0, 2) and (3, -3)

∴ x1 = 0 and y1 = 2

∴ x2 = 3 and y2 = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-2}{3-0}=\frac{-5}{3}[/tex]

∴ m = [tex]\frac{-5}{3}[/tex]

∴ The slope of the line is  [tex]\frac{-5}{3}[/tex]

Answer:

23/128 is the most simplified form

Step-by-step explanation:

The GCF of 23 and 128 is 1, so it can't be reduced any further.

I hope this helps!

Answer: 77

Step-by-step explanation:

Answer: the night temperature was 3 degrees below the afternoon temperature

Step-by-step explanation:

Answer:

x >= 74

Step-by-step explanation:

x/10 (* 10) + 6 >= 8 (* 10)

x + 6 (- 6) >= 80 (- 6)

x >= 74

Answer:

does the dog talk spanish

Step-by-step explanation:

Answer:

Put a Greater than symbol >

Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.

-5 with absolute value becomes a regular 5

Answer:

its >

Step-by-step explanation:

Answer:

-1/2 is the slope

Step-by-step explanation:

this is because you move 4x on the other side of the equasion making it -4x, you divide by 8 and it makes -1/2x

Answer:Not possible to divide really.

Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...

1.28571428571 this is the answer thank you please give me 5 stars.plis

Answer:

Side length of each booth is 8.35 ft approximately.

Step-by-step explanation:

There are 11 companies set up equal sized square booths in a row along one wall of a convention center.

Now, refer the diagram to answer the problem.

It is given area is 1200.

So, length x width =1200

(11x+24)(x+2)=1200

Multiply using FOIL method.

[tex]11x^{2}[/tex]+22x+24x+48=1200

[tex]11x^{2}[/tex]+46x+48-1200=0

[tex]11x^{2}[/tex]+46x-1152=0

Solve using quadratic formula

x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]

x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]

x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]

Simplify it

[tex]x=\frac{-49+/- 229.79}{22}[/tex]

Simplify to get two values for x.

x=8.35; x=-12.67

Here negative does not work.

Side length of each booth is 8.35 ft.

Answer:

(3, -1)

Step-by-step explanation:

Multiply the 2nd equation (-2x-3y=-3) times -3 to eliminate x

Subtract/add the other terms -y + 9y and -17 + 9

Then divide 8y = 8

y= -1

Substitute y in the other equation

x = 3

(3, -1)

Answer:

Point Form: ( 3 , − 1 )

Equation Form: x = 3 , y = − 1

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Answer:

6 weeks :)

Step-by-step explanation:

it will take her 6 weeks

45-15 is 30.

30/5 is 6

Answer:

It will take her 6 weeks.

Step-by-step explanation:

$45-$15=$30

$30 ÷ $5 = 6

Answer:

area square inches is less than 1.2

Step-by-step explanation:

Answer

False

True

False