Two expressions set equal to each other creates an what ?

Answers

Answer 1

Answer: That is called an equation

Answer 2

Answer: An expression is a set of numbers and sign that have no equal sign. When 2 expressions are set equal together, it will be an equation.

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A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?60.5 feet
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15.6 feet
16.5 feet

Answers

It’s 60.5 because 242 divided by 4 is 60.5

Someone help ASAP !!! (10 points)

Answers

Answer:

the second answer

Step-by-step explanation:

Solve the system of equations.2.5y + 3x = 27
5x – 2.5y = 5

What equation is the result of adding the two equations?

What is the solution to the system?

Answers

If you put them together, +2.5y and -2.5y neutralize themselves while 5x and 3x become 8x.

2.5y + 3x = 27
5x – 2.5y = 5

8x = 32
x = 4

2.5y + 3x4 = 27
2.5y + 12 = 27
2.5y = 27-12
2.5y = 15
y = 15/2.5
y = 6

X = 4
Y = 6

Answer:

x=4 Y=6

Step-by-step explanation:

Under what circumstances are two nonright triangles congruent?

Answers

If these are the given choices of the above problem,

a. one side and one angle are equal.
b.three sides are equal
c.two angles are equal
d. three angles are equal

Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.

Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
2) A pair of corresponding sides and the included angle are equal (SAS)
3) A pair of corresponding angles and the included side are equal (ASA)
4) A pair of corresponding angles and a non-included side are equal (AAS)

A time/motion word problem"A plane leaves Denver heading due north at 500 mph. Simultaneously, another plane leaves Denver traveling due east at 1200 mph. After how many minutes will the planes be 650 miles apart?"

I know the answer is 30, but I have no clue how to solve the problem itself

Answers

The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.

Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.

After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.

Do you remember this for a right triangle ? ==> A² + B² = C²

(500H)² + (1200H)² = (650)²

250,000H² + 1,440,000H² = 422,500

1,690,000 H² = 422,500

H² = (422,500) / (1,690,000) = 0.25

H = √0.25 = 1/2 hour = 30 minutes

$x^2=500^2+1200^2\n\nx^2=250000+1440000\ \ \ \Rightarrow\ \ \ \ x^2=1690000\ \ \ \Rightarrow\ \ \ \ x=1300\ [mph]\n\nthe\ distance=650\ miles\n\nthe\ speed= (the\ distance)/(the\ time) \ \ \ \Rightarrow\ \ \ 1300\ [mph]= (650\ [miles])/(the\ time)\n\nthe\ time= (650)/(1300) \ [hr]=0.5\ [hr]=30\ [min]\n\nAns.\ after\ 30\ minutes.$