MATHEMATICS HIGH SCHOOL

Given that RT ≅ WX, which statement must be true?RT + TW = WX + TW
RT = 2(RX)
WX = 2(RX)
RT + TW = RX

Answers

Answer 1
Answer:

This statement must be true as RT + TW = WX + TW, which is correct option (A).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.

Since RT ≅ WX, RT and WX are represent congruent

So we can say that for all kinds of reasons, they are absolutely equal.

Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

For RT + TW = WX + TW

Substitute RT = WX in the equation

RT + TW = WX + TW

WX + TW = WX + TW

Subtract TW from both sides of the equation

WX + TW - TW = WX + TW -TW

WX = WX

Since RT ≅ WX,

Therefore RT and WX are exactly equivalent and interchangeable as a result, the equation WX = WX is true..

Hence, this statement must be true as RT + TW = WX + TW

Learn more about of congruent triangles here:

brainly.com/question/4364353

#SPJ6
Answer 2
Answer: RT + tw = wx + tw is the right answer

Related Questions

88 litres of milk is bought at rs 50 per litre. if 10 liters of milk is lost by leakage and the remainder is sold at rs 55 per litre, find the gain or loss percent.​
Two functions, y = |x - 3| and 3x + 3y = 27, are graphed on thesame set of axes. Which statement is true about the solution to thesystem of equations?(1) (3,0) is the solution to the system because it satisfies the equationy = |x - 3|.(2) (9,0) is the solution to the system because it satisfies the equation3x + 3y = 27.(3) (6,3) is the solution to the system because it satisfies both equations.(4) (3,0), (9,0), and (6,3) are the solutions to the system of equationsbecause they all satisfy at least one of the equations.
Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c + 9m where c is the number of candy canes Calvin eats for breakfast and m is the number of candy canes Melvin eats for breakfast.How many toys do they build when Calvin eats 5 candy canes and Melvin eats 3 candy canes for breakfast? :)
Which is the best definition of the radius of a circle? A. The distance around the outside of the circle B. The distance across the middle of the circle C. The Point at the center of the circle D. The distance from the center to any point on the circle
Find the slope of the line graphed below.

What is one-third of 2,700?

Answers

2700* 1/3 = 2700 ÷ 3 = 900

help this helps!

Final answer:

To get one-third of a number, you divide that number by 3. When we divide 2,700 by 3, the result is 900. Therefore, one-third of 2,700 is 900.

Explanation:

To find a fraction of a whole number, we multiply the numerator of the fraction by the provided number and then divide the product by the denominator of the fraction.

To find one-third of a number, you can divide that number by 3.

In this case, to find one-third of 2,700, you simply divide 2,700 by 3.

The result when you divide 2,700 by 3 is 900

Therefore, one-third of 2,700 is 900.

Learn more about Division here:

brainly.com/question/33969335

#SPJ2

List the midline , amplitude and period of the graph then write an equation

Answers

Answ

Step-by-step explanation:

If g(y) = 5y, then solve g(-10)

Answers

Answer:

-50

Step-by-step explanation:

g(y) = 5y

Let y= -10

g(-10) = 5*-10

         = -50

Evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5.

Answers

Final Answer:

The expression 4a - 3b + c, when a = 2, b = 3, and c = 5, evaluates to 4.

Explanation:

To evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5, we substitute these values into the expression:

Substitute the values of a, b, and c into the expression:

4(2) - 3(3) + 5

Perform the operations in order:

8 - 9 + 5

Calculate the final result:

-1 + 5 = 4

So, the expression evaluates to 4 when a = 2, b = 3, and c = 5.

Substituting values into expressions: When you have variables in an expression, you can substitute specific values for those variables to find the result. This is a fundamental concept in algebra and mathematics in general, used for solving equations and evaluating expressions.

Learn more about expression

brainly.com/question/34132400

#SPJ11

Answer:

4

Step-by-step explanation:

given the expression

4a - 3b + c ← substitute a = 2, b = 3, c = 5 into the expression

= 4(2) - 3(3) + 5

= 8 - 9 + 5

= - 1 + 5

= 4

What are the coordinates of three points that lie on both planes of 20x+15y+12z=60 and 10x+30y+12z=60

Answers

20x + 15y + 12z = 60 ⇒ 20x + 15y + 12z = 60
10x + 30y + 12z = 60 ⇒ 20x + 60y + 24z = 120
                                                -45y - 12z = -60
                                      -45y + 45y - 12z = -60 + 45y
                                                         -12z = -60 + 45y
                                                          -12           -12
                                                              z = 5 - 45/12y
                      20x + 15y + 12(5 - 45/12y) = 60
                20x + 15y + 12(5) - 12(45/12y) = 60
                               20x + 15y + 60 - 45y = 60
                               20x + 15y - 45y + 60 = 60
                                         20x - 30y + 60 = 60
                                                           -60   -60
                                                 20x - 30y = 0
                                        20x - 20x - 30y = 0 - 20x
                                                         -30y = -20x
                                                          -30      -30
                                                              y = 2x/3
              20x + 15(2x/3) + 12(5 - 45/12y) = 60
                              20x + 10x + 60 - 45y = 60
                                        30x - 45y + 60 = 60
                                                          -60  -60
                                                30x - 45y = 0
                                      30x - 45y + 45y = 0 + 45y
                                                         30x = 45y
                                                          30      30
                                                             x = 3/2y
      20(3/2y) + 15(2x/3) + 12(5 - 45/12y) = 60
                             30y + 10x + 60 - 45y = 60
                             10x + 30y - 45y + 60 = 60
                                       10x - 15y + 60 = 60
                                                         -60  -60
                                               10x - 15y = 0
       10(3/2y) + 30(2x/3) + 12(5 - 45/12y) = 60
                              15y + 20x + 60 - 45y = 60
                              20x + 15y - 45y + 60 = 60     
                                        20x - 30y + 60 = 60               
                                                          -60  -60
                                                20x - 30y = 0
                     10x - 15y = 0 ⇒ 20x - 30y = 0
                     20x - 30y = 0 ⇒ 20x - 30y = 0
                                                        -60y = 0
                                                         -60    -60
                                                             y = 0
                                             10x - 15(0) = 0
                                                   10x - 0 = 0
                                                          +0  +0
                                                        10x = 0
                                                         10    10
                                                            x = 0
                                    20x + 15y + 12z = 60
                                20(0) + 15(0) + 12z = 60
                                            0 + 0 + 12z = 60
                                                  0 + 12z = 60
                                                        12z = 60
                                                         12     12
                                                            z = 5
                                                   (x, y, z) = (0, 0, 5)

Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.
How old is Ben?

Answers

Given :-

  • Ben is 4 times as old as Ishaan.

  • Ben is 6 years older than Ishaan.

To find :-

  • age of Ben

Let :-

  • Ishaan age be x
  • Ben age be 4x

Solution :-

✪According to question:-

Ben is 6 years older than Ishaan

So :-

  • Ben age - Ishaan age = 6 years

put supposed values

  • 4x - x = 6
  • 3x = 6
  • x = 6 ÷ 3
  • x = 6/3
  • x = (2 × 3)/3
  • x = 2/1
  • x = 2

Original Ages :-

  • Ishaan age = x
  • Ishaan age = 2 years

  • Ben age = 4x
  • Ben age = 4(2)
  • Ben age 4 × 2
  • Ben age = 8 years

✪Verification :

1st condition:-

  • Ben age - Ishaan age = 6 years

put original ages

  • 8 - 2 = 6
  • 6 = 6

LHS=RHS

Hence verified !

Required answer :-

Ben's age =8years
Other Questions
If a pair of parallel lines are rotated, which is true?A) The lines remain parallel only if rotated 180°. B) The lines remain parallel only if rotated 360°. C) Rotated parallel lines always remain parallel lines. D) Rotating parallel lines result in perpendicular lines.
What is 5/8 x 1/10 im dumb plz help me ;-;
The following function defines a recessive sequence:f(0) = -4f(1) = 12f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1Which of the following sequences is defined by this recursive function?A) -4, 12, -28, 60, …B) -4, -12, -28, -60, …C) -4, 12, -18, 54, …D) -4, 12, -18, -54, …
If BC is parallel to DE, then all of the following are equivelient to each other acceptA) AD/AB B) DE/BC C) CE/AC D) AE/AC