If 2KL=KL+MN, then KL=MNChoose the definition, theorem, or postulate that justifies the statement.

A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality

Answer:

a = 7/2

Step-by-step explanation:

Step 1: Write equation

6a - (2a + 4) = 11 - 3(a - 2)

Step 2: Solve for a

1. Distribute: 5a - 2a - 4 = 11 - 3a + 6
2. Combine like terms: 3a - 4 = 17 - 3a
3. Add 3a to both sides: 6a - 4 = 17
4. Add 4 to both sides: 6a = 21
5. Divide both sides by 6: a = 7/2

Final answer:

The variable 'a' in the given equation is 3. First, simplify both sides of the equation, then isolate 'a' by adding and subtracting the same terms on both sides. Finally, divide to find 'a'.

Explanation:

The first step to solve the equation 6a-(2a+4)=11-3(a-2) is simplifying both sides. On the left-hand side, distribute the negative sign into the parenthesis, resulting in 6a - 2a - 4. Simplifying this gives 4a - 4. On the right-hand side, distribute the negative 3 into the parenthesis, resulting in 11 - 3a + 6. Simplifying this gives -3a + 17.

So, the simplified equation is 4a - 4 = -3a + 17. To isolate the variable a on one side, add 3a to both sides to get 7a - 4 = 17. Then add 4 to both sides to get 7a = 21. Finally, divide both sides by 7 to get a = 3.

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Answer:

53.85

Step-by-step explanation:

Answer:

I'm pretty sure it's:

5x5x5x5x5x5x5x5x5 x 2x2

Let x represent the number of quick washes and let y represent the number of premium washes.

1. One quick wash costs $5, then x quick washes cost $5x.

One premium wash cost $8, then y premium washes cost $8y.

They made $775 from a combination of quick and premium washes, then in total they made $(5x+8y) that is $775. The first equation is

5x+8y=775.

2. They had washed 125 cars, x cars by quick wash and y cars by premium wash, that is x+y in total. Then tha second equation is

x+y=125.

Only option A represents the situation.

Answer:

∠C = 62°

Step-by-step explanation:

GIVEN :-

• Cyclic quadrilateral ABCD
• ∠A = (2x + 38)°
• ∠D = (x + 20)°
• ∠B = (3x)°

TO FIND :-

• The measure of ∠C

FACTS TO KNOW BEFORE SOLVING :-

• A cyclic quadrilateral is a quadrilateral inscribed in a circle.
• In a cyclic quadrilateral , sum of the opposite interior angles is equal to 180°

PROCEDURE :-

As ABCD is a cyclic quadrilateral ,

∠B + ∠D = 180°

Putting the values of x gives :-

∠A = (2×40 + 38)° = 118°

∠B = (3×40)° = 120°

∠D = (40 + 20)° = 60°

Also,

∠A + ∠C = 180°

⇒ ∠C = 180° - 118° = 62°