Complete the following congruence statement ∠G ≅ ____?

Answer:

x = 3√10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 9

Leg b = 3

Hypotenuse c = x

Step 2: Solve for x

To find the value of x we can apply Pythagoras theorem in this right angled triangle.

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So let's apply!

[tex]{ \boxed{ \sf{ \mapsto {Hypotenuse}^{2} ={Base }^{2} +{Perpendicular }^{2} }}}[/tex]

[tex] \sf{ : \implies {x}^{2} = {9}^{2} + {3}^{2} }[/tex]

[tex] \sf{ : \implies {x}^{2} = 81 + 9 }[/tex]

[tex] \sf{ : \implies {x}^{2} = 90 }[/tex]

[tex] \sf{ : \implies {x} = \sqrt{2 \times 3 \times 3 \times 5} }[/tex]

[tex] \sf{ : \implies {x} = 3 \sqrt{10} }[/tex]

Hence this is the value of x.

Answer:

4 horses

Step-by-step explanation:

There are 2 elephants and 4 horses on one side. On the other, there are 12 horses. You can cancel 4 horses so now it's 2 elephants and 8 horses. To get the first side (2 elephants) to turn into one elephant, you need to divide by 2. So now, it is 1 elephant = 4 horses.

Answer:

4

Step-by-step explanation:

4 because you can write the problem as  2e+4h=12h then you subtract 4h from both sides and get 2e=8h then you divide by 2 to get e=4 so one elephant is as strong as 4 horses

h=horses

e=elephant

Answer:

FG

Step-by-step explanation:

I did this on my computer

The pair of the line together, could be perpendicular to RS should be considered as the EA and FG.

In terms of elementary geometry, two geometric objects should be considered as the perpendicular when they intersect at a right angle. A line is treated to be perpendicular to another line in the case when the two lines intersect at a right angle.

Therefore, The pair of the line together, could be perpendicular to RS should be considered as the EA and FG.

Learn more about pair here: https://brainly.com/question/4845674

Answer:

I think the answers are: true, true and false. sorry if any answer is wrong

Answer:

true, true, false, true

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

210/7 = 30

30 minutes

Answer:

im confused what u want me to answer, there is no question

Step-by-step explanation:

Answer:

6/10 of a mile in one hour

Step-by-step explanation:

3.25 ÷ 5.5 = 0.59 or approx 0.6 miles

Answer:

one balloon will be left over

Step-by-step explanation:

Answer

13 with remainder of 1

Step-by-step explanation:

5x10^-10 is the answer

Answer:what? please explain what i have to answer

Step-by-step explanation:

Answer:

Can you break that down some more?

Step-by-step explanation:

Answer:

1/6 hours

Step-by-step explanation:

Given data

Company A charges

$25 per hour and a $300 equipment fee

let the number of hours be t

and the total charges be A

A=25+300t----------------1

Company B charges $50 per hour and a $150 equipment fee.

let the number of hours be t

and the total charges be B

y=50+150t----------------2

Equate 1 and 2 we have

25+300t= 50+150t

300t-150t= 50-25

150t= 25

divide both sides by 150

t= 25/150

t=1/6 hours

Answer:

8 / 5

Step-by-step explanation:

-8 / -5 = 8 * -1 / 5 * -1 = 8 / 5

Thank, 5 star, and brainliest if helpful

The fraction (-8)/(-5) simplifies to 8/5 which represents that the quotient is 8 units for every 5 units.

To divide -8 by -5 in fraction form, we can write it as (-8)/(-5). When dividing two negative numbers, the negative signs cancel out, resulting in a positive quotient. So (-8)/(-5) is equal to 8/5.

When we divide -8 by -5, we subtract -5 from -8 repeatedly until we can no longer subtract without going below zero.

This happens after one subtraction, resulting in a quotient of 1.

However, since both numbers are negative, the quotient is positive.

Therefore, (-8)/(-5) simplifies to 8/5.

In fraction form, 8/5 represents the result of dividing -8 by -5, indicating that the quotient is 8 units for every 5 units.

Learn more about the fraction here:

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Answer:

[tex]\%Increase = 25\%[/tex]

Step-by-step explanation:

Given

[tex]Last\ Year = 120[/tex]

[tex]This\ Year = 150[/tex]

Required

Determine the percentage increase

This is calculated as thus:

[tex]\%Increase = \frac{This\ Year - Last\ Year}{Last\ Year} * 100\%[/tex]

[tex]\%Increase = \frac{150 - 120}{120} * 100\%[/tex]

[tex]\%Increase = \frac{30}{120} * 100\%[/tex]

[tex]\%Increase = 0.25 * 100\%[/tex]

[tex]\%Increase = 25\%[/tex]

Answer:

D n/2 = 9

Step-by-step explanation:

14 + (18) = 32 not 29

6(18)= 108 NOT 3

18 - 7 = 11 NOT 25

The only answer is D because 18 divided by 2 = 9

Answer:

B. 26 should be pretty simple math

Answer:

The height of the roller coaster car is: h = 7.8 m

Step-by-step explanation:

Given

Mass m = 600 kg

Potential Energy P.E = 46,000J

To determine

Height h = ?

Using the formula

P.E = mgh

Here:

so substituting m = 600 kg, P.E = 46,000J, and g = 9.8

P.E = mgh

46000 = 600 × 9.8 × h

h = 46000 / 5880

h = 7.8 m

Therefore,  the height of the roller coaster car is: h = 7.8 m

Answer:

6

Step-by-step explanation:

2x-m

When you substitue in the values for x and m:

2(4)-2

Now you can solve the equation:

2(4)-2

8-2

6

So this leads to the answer

2x-m=6 or 2(4)-2=6

Answer:

2 2/3

Step-by-step explanation:

turn the 1/3 and 3/4 into 4/12 and 9/12, add them and the 2 and 1 and get 4 1/12 turn the rest into fractions of 12 so 11/12 12/12 9/12 = 2 8/12 which = 2 2/3

Answer:

B

Step-by-step explanation:

It is b

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock ([tex]V_{r}[/tex]), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock ([tex]V'[/tex]) minus the volume of the fish aquarium with the decorative rock ([tex]V''[/tex]), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

[tex]V_{r} = V' - V''[/tex]

[tex]V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2})[/tex] (1)

Where:

[tex]\dot V[/tex] - Flow rate, measured in gallons per hour.

[tex]\Delta t_{1}[/tex] - Filling time of the fish aquarium without the decorative rock, measured in hours.

[tex]\Delta t_{2}[/tex] - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

[tex]\dot V = \frac{2000\,gal}{10\,h}[/tex]

[tex]\dot V = 200\,\frac{gal}{h}[/tex]

The flow rate is 200 gallons per hour.

If we know that [tex]\dot V = 200\,\frac{gal}{h}[/tex], [tex]\Delta t_{1} = 10\,h[/tex] and [tex]\Delta t_{2} = 9.5\,h[/tex], then the volume of the rock is:

[tex]V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)[/tex]

[tex]V_{r} = 100\,gal[/tex]

[tex]V_{r} = 13.368\,ft^{3}[/tex]

The volume of the rock is 13.368 cubic feet.

Answer:

1

Step-by-step explanation:

Answer:

2a+3p=18

Step-by-step explanation:

Answer:

∠ CBA = 100°

Step-by-step explanation:

Since BD bisects ∠ CBA , then

∠ ABD = ∠ CBD = 50°

∠ CBA = ∠ CBD + ∠ ABD = 50° + 50° = 100°

Answer:

Option C

Step-by-step explanation:

By the property of a parallelogram,

"Opposite angles of a parallelogram are equal in measure"

m∠L = m∠N

Since, m∠L = 106°

Therefore, m∠N = 106°.

Option C will be the correct option.

Answer:

69 seconds

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Take 7 % turn into decial then dived

Answer:

B. 133.75

Step-by-step explanation:

Add up the total for the shirt jeans and watch. Then multiply it by 0.07 then add that to your original total of the items to get your answer.

Answer:

The value of x = 5

Step-by-step explanation:

Given

ABCDE ~ FGHJK

It means the polygon is similar.

Similar polygons have the same shape but different sizes.

Thus, the given two polygons will have their corresponding sides are in proportion.

so

AB/AE = FG/FK

here

AB = 4, AE = x, FG = 8, FK = 10

so substituting AB = 4, AE = x, FG = 8, FK = 10

4/x = 8/10

8 × x = 4 × 10

8x = 40

divide both sides by 8

8x/8 = 40/8

x = 5

Therefore, the value of x = 5

Answer:

first one

Step-by-step explanation: