Determine if they are congruent. State how they are.

Answer:

(1) x=15/2

(2) x=1

Step-by-step explanation:

(1) 4x−1 /2 =x+7

2x+ −1 /2 =x+7(Distribute)

2x+ −1 /2 =x+7

Step 2: Subtract x from both sides.

2x+ −1 /2 −x=x+7−x

x+ −1 /2 =7

Step 3: Add 1/2 to both sides.

x+ −1 /2 + 1 /2 =7+ 1 /2

x= 15 /2

(2) 3x+2=( 2x+13)/ 3

3x+2= 2 /3 x+ 13 /3  (Distribute)

3x+2= 2 /3 x+ 13 /3

Step 2: Subtract 2/3x from both sides.

3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x

7 /3 x+2= 13 /3

Step 3: Subtract 2 from both sides.

7 /3 x+2−2= 13 /3 −2

7 /3 x= 7 /3

Step 4: Multiply both sides by 3/7.

( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )

X=1

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

Answer:

4/3 litres of water is enough to water 2/5 of the plants

Assuming the number of plants in the house is an unknown variable, take the value as x.

Thus, 4/3 litres is enough to water 2x plants in the house.

x = 4/3 ÷ 2

  = 2/3 litres

Amount of water for all the plants = 5x = 5 × 2/3

                                                                = 10/3 litres

Thus, 10/3 litres of water is necessary to water all the plants in the house.

What the judge should do is adhere strictly to the rules.

This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.

Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.

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The referee will have to allow halftime interval as a result of one of the

players wanting it.

Every sport has rules which guides the game to ensure fair play and  prevent

confusion from happening. Referee decisions are based on the rule of the

game but can also be negotiated.

In this scenario, if all the players wanted eliminate the halftime interval, it

could have been honored .But in this case, the referee has to follow the rules

of the game due to the other player disagreeing with the suggestion.

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Answer: 4x = x+12

Step-by-step explanation:

Answer: 7*4 is 28 square centimeters...

Answer:

X is just a variable.

Step-by-step explanation:

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

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#SPJ7

Answer:

34

Step-by-step explanation:

4(8.5) = 34

Answer:

Perpendicular bisector

Step-by-step explanation:

Answer:

i don't know but I think question 1 is 64

Answer:

12.5 minutes

Step-by-step explanation:

it takes 5 minutes to cool 10 degrees

after ten minutes it would be 20 degrees less

then after 2.5 minutes it would be 5 degrees less

so it would take you 12.5 minutes to get 25 degrees less

We know that in 5 minutes, the temperature of the hot chocolate decreased by 10 degrees. We also know that the temperature is fixed at 70 degrees. Now, using the info given, let's solve!

Therefore, my little brother will have to wait for 12.5 minutes to drink his hot chocolate.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

Answer:

y-1=-4(x+5)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-4(x-(-5))

y-1=-4(x+5)

Answer: y - 1 = -4(x + 5)

Step-by-step explanation:

      The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.

      Using the formula, we will plug in our known values to write our equation.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - (1) = (-4)(x - (-5))

y - 1 = -4(x + 5)

        However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;

                      y - 1 = [tex]\frac{1}{4}[/tex](x + 5)

Answer:

the ration is 2:1 when simplified

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

brainliest pls

Answer:

  A. discrete

  B. discrete

  C. continuous

  D. continuous

Step-by-step explanation:

When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.

__

When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.

Step-by-step explanation:

the answer is the factor of n : 70.

with every sold ticket the charity raises $70.

add on :

to break even (to have at least 0 or more dollars as profit) they need to sell at least

70n - 1500 = 0

70n = 1500

7n = 150

n = 150/7 = 21.42857143...

that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.

Answer:

4 Quarts =  1 Gallon

Step-by-step explanation:

1 is an integer and not a fraction. However, it can be expressed as a fraction in rational form as 1/1. So a possible answer is 1/1 gallon. I don't know for sure though its my best guess.

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

Answer: 17) 150°C 18) 17 minutes

Step-by-step explanation:

x represents time in minutes and y represents temperature in Celsius

17) y=10x+30

y=10(12)+30

y=120+30

y=150 - Therefore, the water temperature will be 150°C after 12 minutes

18) 200=10x+30

10x+30=200

10x+30-30=200-30

10x=170

x=17  - Therefore, the water temperature will reach 200°C after 17 minutes

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

[tex]f(x)=4x^4-64[/tex]

[tex]0=4x^4-64[/tex]

[tex]0=x^4-16[/tex]

[tex]16=x^4[/tex]

[tex]\pm2=x[/tex]

Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

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The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

Answer: 3.14159

Step-by-step explanation: