State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.

refer to attachment

Given that (3^-2×4^-2)^-3 = 12^x

⇛ [(3×4)^-2]^-3 = 12^x

Since a^m × b^m = (ab)^m

⇛(12^-2)^-3 = 12^x

⇛ 12^(-2×-3) = 12^x

Since (a^m)^n = a^mn

⇛ 12^6= 12^x

⇛6 = x

Since the bases are equal then exponents must be equal

Therefore,x = 6

Additional comment:-

If the bases are equal then exponents must be equal.

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Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

[tex] \sf \longmapsto \: x<−13[/tex]

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

Answer:

y = 7

Step-by-step explanation:

y = -x + 5

when x = -2

y = - (-2) + 5

Double negative is positive

y = 2 + 5

y = 7

Answer:

y=7

Step-by-step explanation:

When x=-2,

y=-x+5

 =-(-2)+5

 =2+5

 =7

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

Answer:

(a) 5 + 7 + 6x + 8x + 6

(b) 18 + 14x

Step-by-step explanation:

Answer:

7.14

Step-by-step explanation:

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

Answer:

Rr = 51 : 68

Step-by-step explanation:

Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

Would appreciate brainliest <3

Answer:

1. C

2. E

3. D

4. A

5. B

Step-by-step explanation:

1. It shows that the number of students decrease.

2. It increases more than the breakfast (B)

3. It's on thin line representing the students and workers whom stayed in the cafeteria.

4. It increases showing the same amount of students that entered the other day.

5. The same

Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

Answer:

12 hours

Step-by-step explanation:

Answer:

6×3×4= 72 unit cubes

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

Answer:

81

Step-by-step explanation:

9×9=81

also known as 9²

Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

Answer:

$36

Step-by-step explanation:

$13 babysitting, $9 saved.

$52 babysitting, $x saved.

Cross multiply

13/13x=468/13

Divide both sides by 13

x=$36

Answer:

24

Step-by-step explanation:

First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24

Answer:

Should be second option: (-6.5,-3.5)

The actual coordinates are (-6.4,-3.6) but the points are rounded.

Step-by-step explanation:

Since these two lines are both in slope-intercept form, all you have to do is graph them, and what ever point they cross each other at, is the solution to this system of equations. (Hint: you can also go online and search desmos graphing calculator, to see how it's graphed, for additional help).

(I've graphed and labeled them for you above btw⤴⤴⤴)

Hope this helps you :)

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

Learn more simultaneous equations at https://brainly.com/question/148035

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