1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkasestr [34]
3 years ago
7

Give the property that justifies each step.

Mathematics
1 answer:
hjlf3 years ago
5 0

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

  • <em>Distributive property</em>

a(b+c) = ab+ac

For example,

suppose a=1, b=2, c=3

1(2+3) = 1(2) + 1(3)

5 = 2+3 = 5

  • <em>Subtraction property of Equality</em>

if (a=b), then a-c = b-c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a-c = b-c ⇒ 1-3 = 1 - 3  ⇒ -2 = -2

  • <em>Addition property of Equality</em>

if (a=b), then a+c = b+c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a+c = b+c ⇒ 1+3 = 1+3  ⇒ 4 = 4

  • <em>Multiplicative property of Equality</em>

if (a=b), then a×c = b×c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a×c = b×c ⇒ 1×3 = 1 × 3  ⇒ 3 = 3

  • <em>Division property of Equality</em>

if (a=b), then a÷c = b÷c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3  ⇒ 1/3 = 1/3

Let's solve the given equation using the above properties.

5(x+10) = 20        Given

5x+50 = 20          1) Distriburive property ∵ a(b+c) = ab+ac

5x = -30               2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c

x = -6                    3) Division property of Equality  ∵ if (a=b), then a÷c = b÷c

         

You might be interested in
when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft ab
Vikki [24]
35 feet i think i’m not sure
6 0
2 years ago
What is your slope of the line that contains the points (4,3) and (2,7)?
Nikolay [14]

Answer:

The Correct Answer is: B

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
A person invests $125 at 3% interest. how long will it take to be worth 300
aleksandr82 [10.1K]
A tad more than 29 years, but that depends on the number of times it is being compounded
5 0
3 years ago
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is
Marrrta [24]
 Because the pattern is a Geometric sequence.
8 0
3 years ago
Read 2 more answers
All help is much appreciated please and thank you
scoundrel [369]
Anddd Similar traingles for one more time.

Here,
RQ/RP = RS/RT = QS/PT = 1/2


Using the values of QS and PT will give,

\frac{y}{y + 46}  =  \frac{1}{2} \\  \\  2y =y + 46 \\  \\  y = 46


Therefore y= 46 units.
6 0
3 years ago
Other questions:
  • Please help thank youuu!
    7·2 answers
  • In circle K, what is the value of x?
    9·1 answer
  • Perform the operation 2(-3)(-1)(-10)
    14·1 answer
  • Subtract by adding the opposite. <br> 19-23=<br> -48-(80)=<br> -17-(-20)=
    6·1 answer
  • Kendra and her horse completed the barrel racing course in 15.839 seconds. What is the number rounded to tenths?
    10·1 answer
  • A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second
    13·1 answer
  • The question is in a screen shot
    6·2 answers
  • A TV has a rectangular picture with an area of 6 square feet. The picture has a length of 3 feet. What is the perimeter of
    10·2 answers
  • Given f(x)= x-3 and g(x)= 2x+1<br> Find (fºg) (-10)
    15·1 answer
  • Can someone pls help me!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!