If 2KL=KL+MN, then KL=MN

Choose 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:

19. x = 65

20. x = 12

21. x = 35, y = 85

Step-by-step explanation:

19. 2x -10 = 120

2x (-10 + 10) = (120 +10)

2x/2 = 130/2

x = 65

20. 2x + 4x + 108 = 180

6x + (108 - 108) = (180 - 108)

6x/6 = 72/6

x = 12

21. 2x + 25 = 3x - 10

2x + (25 - 25) = 3x (- 10 - 25)

(2x - 3x) = (3x - 3x) - 35

-x/-1 = -35/-1

x = 35

3x - 10 + y = 180

3(35) - 10 + y = 180

105 - 10 + y = 180

(95 - 95) + y = (180 - 95)

y = 85

Answer:

x=25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

(2x+2)+(5x+3)=180

Answer: c

Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.

Answer:

I would say your answer is (D

Answer:

498,173.26.

Step-by-step explanation:

The place value of 9 in the number 3, 29,513 = 9000

In the required number,

Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000

The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2

The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06

Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.

Answer:

0.22222222

Step-by-step explanation:

Hope this helps!!!

Answer:

0.22222222

Step-by-step explanation:

you have to divide 2 by 9.

Answer:

2x²

Step-by-step explanation:

2xx

=2*x*x

=2*x2

=2x2

Answer:

3.33 m/s

Step-by-step explanation:

speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]

Answer:

The top line is a pure gross sales number showing how much revenue the company brought in for a given period.

Answer:

-1

Step-by-step explanation:

-1 is the constant in the expression 4x - 1

Answer:

-1

Step-by-step explanation:

as it got no variables to it.

Answer:

m<32

Step-by-step explanation:

You add 4 to both sides to isolate the variable which in this case is m this gives you 32>m, then you can just flip the equation.

Answer: m < 32

Step-by-step explanation:

28 > m - 4

Add 4 to both sides:

32 > m

Flip the inequality so m is in front:

m < 32

Hope this helps!

Answer:

x = 1 + y

Step-by-step explanation:

add y to both sides, and that is basically it

Answer:

The same sign

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

The awnser to your question is 2

Answer:m=-1/2

Step-by-step explanation:

Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

d is the length of the rope

Substitute

240² = 181²+y²

y² = 240²-181²

y² = 24839

y = √24839

y = 157.6m

Hence the boat is 157.6m above Kayla

Answer:

a. lenqth=32 , width=2

b. m∠p=100  m∠Q=50  m∠R=30

c. XY=20  YZ=12

d.m∠1=90    m∠2=90

Step-by-step explanation:

a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,

1  AND  64   (this answer is suitable but it's better to choose another

one if available for more accuracy)

2  AND  32  (this is a good answer to use)

4  AND 16   (this one already used in the question)

8   AND  8   (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)

SO we will choose 2 AND 32 for the answer and we can put them in any order we want.

b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.

I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).

c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.

d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.  

Answer:

a) 18.8

b) 20

I hope this helps :) Let me know if it's right!

Answer:

17.1

Step-by-step explanation:

Given parameters:

   Scores of Colins:

            1, 25, 27, 3, 23, 25, 5, 9, 26, 27

A. Colin's mean score;

   The mean is the sum of all values divided by the number of values in a given set;

 Mean = [tex]\frac{1 + 25 + 27 + 3 + 23 + 25 + 5 + 9 + 26 + 27}{10}[/tex]

  Mean = [tex]\frac{171}{10}[/tex]

 Mean score = 17.1

Answer:

c=4

Step-by-step explanation:

subtract 50-18= 32

then subtract 12c-4c= 8c

8c=32

divide 8c by 32 which gives you

c=4

Answer:

[tex]:\implies \sf 12c - 4c + 18 = 50 \\ \\ \\ [/tex]

[tex]:\implies \sf 8c = 50 - 18 \\ \\ \\ [/tex]

[tex]:\implies \sf 8c = 32 \\ \\ \\ [/tex]

[tex]:\implies \sf c = \frac{32}{8} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{\textsf { \textbf{c = 4}}}} \\ \\ \\ [/tex]

Answer:

Step-by-step explanation:

If you check the measurement

of the other line, it will NOT match the one

on the side. It is a few centimeters bigger than the bottom.

hope this helps! <3

Answer:

[tex]\Large \boxed{\sf 40}[/tex]

Step-by-step explanation:

The triangle is a right-angled triangle

Use Pythagorean Theorem formula to solve for hypotenuse

[tex]\displaystyle c=\sqrt{a^2+b^2}[/tex]

Substitute in the values

[tex]\displaystyle c=\sqrt{24^2+32^2}=40[/tex]

Answer:

Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.

Answer:

5/6 4/15 1/3

Step-by-step explanation:

the answers are above

Answer:

the repeating decimals are in 5/6 4/15 1/3

Step-by-step explanation:

to find them you would just divide them for example 5/6, you would divide the 5 by the 6

Answer:

24

Step-by-step explanation:

8+ ( 15 - 3 ) + 4

8+12+4

20+4

24

Answer:

[tex]Computer = \frac{5}{16}[/tex]

Step-by-step explanation:

Given

[tex]Library = \frac{1}{2}[/tex]

[tex]Computers = \frac{5}{8}[/tex] of library.

Required

Determine the fraction going towards computer purchase.

We have:

[tex]Computers = \frac{5}{8}[/tex] of library.

This can be rewritten as:

[tex]Computers = \frac{5}{8}[/tex] * library.

Substitute [tex]Library = \frac{1}{2}[/tex]

So, we have:

[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]

[tex]Computer = \frac{5}{16}[/tex]

Hence:

The fraction is [tex]\frac{5}{16}[/tex]