In ΔJKL, KL = 14, LJ = 11, and JK = 4. Which list has the angles of ΔJKL in order from smallest to largest?

The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is

(   ((x1 + x2) /2), ((y1 + y2)/2)   )

So here the point is

(  (-2+6)/2), (-6+12)/2)  )

= (2, 3)

So it's the second option

Answer:

x is greater than or equal to 3

Step-by-step explanation:

x ≥ 3

x is greater than or equal to 3

so you got the plot right

Answer:

z = 1539.44230769

Step-by-step explanation:

360000 + 102 = 360102

360102 - 200000 = 160102

160102/104z = 1539.44230769

z = 1539.44230769

Answer:

[tex]x=-4+\sqrt{7}[/tex]

[tex]x= -4-\sqrt{7}[/tex]

Step-by-step explanation:

Quadratic

Never, B is the middle colinear point so it cant measure longer than AC which is the full line segment.

Answer:

8640

Step-by-step explanation:

According to question,

P= 6000

T=3 year 8 months = 11/3 years

R= 12% per annum

Simple interest is given by :

[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]

Now,

Amount = P+SI

Amount=6000+2640

Amount=8640 Rs

8640 Rs amount which will clear her debt

Answer:

Step-by-step explanation:

Product of b and 5 = b*5 = 5b

Inequality:

5b ≥ - 23

Solution:

Divide both sides by 5

b ≥ -23/5

b ≥ -4.6

Answer:

5b≥ -23

Step-by-step explanation:

product of b and 5  - this means multiply

5b

is greater than or equal -  ≥

5b≥ -23

Solving

Divide by 5

5b/5≥ -23/5

b≥ -23/5

Answer:

11

Step-by-step explanation:

15-12=3

so

x-8=3

x=11

Answer:

22.5 in.

Step-by-step explanation:

Both triangles have 110º so that means they are equal.

12x15=180 inches

So, X=22.5 inches

Answer:

The lengths of the sides are 6, 8 and 10.

Step-by-step explanation:

The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)

The distance between the two points is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

So, the lengths of the sides are

[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]

Answer:

6 a minus 4 b + 11

Step-by-step explanation:

(8a -3b +7) - (2a + b -4)

= 8a -3b +7 -2a-b +4

= 6a -4b + 11

Answer:

The word for the blank would be "square".

Step-by-step explanation:

Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.

Hope this helped!

Answer:

square

Step-by-step explanation:

the area of a cube is found by squaring the length

Answer:

"2"

(9-2-3)/2

4/2

2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

100-33=67

67-29=38

38%

:3

Answer:

r = 9.61 cm

Step-by-step explanation:

Volume of a rectangular box = length × width × height

= 21.5 cm × 13.5 cm × 6 cm

= 1,741.5 cm³

Volume of a rectangular box = 1,741.5 cm³

Since,

Volume of a rectangular box = Volume of a circular box

Then,

1,741.5 cm³ = Volume of a circular box

Volume of a circular box = πr²h

1,741.5 cm³ = 3.14 * r² * 6 cm

1,741.5 = 18.84r²

r² = 1,741.5/18.84

r² = 92.436305732484

r = √92.436305732484

r = 9.6143801533163

Approximately,

r = 9.61 cm

Answer:

I don't know.

Answer:

It's (-3, -2)

I did the math, don't worry

The "is" means "equals"

So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.

Answer: $206

Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.

Step-by-step explanation:

the answer is in the above image

Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

Answer:

The complex number is;

37 + 55i

Step-by-step explanation:

Here, we want to find the product of the two

We proceed as follows;

(3 + 2i)(17+ 7i)

= 3(17 + 7i) + 2i(17 + 7i)

= 51 + 21i + 34i + 14(i)^2

Recall; i = √(-1)

Thus, we have it that;

51 + 55i -14

= 51-14 + 55i

= 37 + 55i

Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)

∴ [tex]v_{ave}[/tex] = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph

Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

The question is incomplete. The complete question is :

Fred drew the pentagon below how should Fred fold the pentagon to determine if ∠ C is congruent to ∠ D ?

Solution :

Given Fred drew a pentagon as shown below :

In mathematics, congruent angles are defined as the angles having the same measure or the same angle.

A angles of a regular pentagon always have the same measures and each angle is equal to 108 degrees.

In the context, Fred drew a pentagon and if he folds the pentagon along the vertical axis, the side BC aligns with the side DE and thus it makes the ∠ C congruent to ∠ D.

Answer:

9.998 x [tex]10^{-3}[/tex]

Step-by-step explanation:

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