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Lorico [155]
4 years ago
12

Which property is illustrated below?

Mathematics
2 answers:
stiv31 [10]4 years ago
3 0

Answer:

commutative property of addition

Step-by-step explanation:

ExtremeBDS [4]4 years ago
3 0

Answer:

The answer to your question is commutative property of addition

Step-by-step explanation:

commutative property of addition means switching up the numbers of the equation but the sum is still the same.

Like in your qustion 1+7=8 but 7+1=8 also. The numbers 7 and 1 are switched around but the answer is still 8.

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Which statement about the solution of the inequality k<-3 1/4 is true?
Juliette [100K]

Answer: Last option

The number -8.4 is a solution to the inequality because -8.4 is located to the left of -3\frac{1}{4} on the number line.

Step-by-step explanation:

Note that: -3\frac{1}{4} =-3-\frac{1}{4} =-3.25

The inequality is:

k

The inequality is:

This means that the inequality includes all values of the number line that are less than -3.25 or that are to the left of -3.25

__-8.4_________-3.25_-3____0___0.9____________7.1__

Note that the number -8.4 is less than -3.25, because it is to its left on the number line.

Then the correct statement is:

The number -8.4 is a solution to the inequality because -8.4 is located to the left of -3\frac{1}{4} on the number line.

4 0
3 years ago
Read 2 more answers
Please help me solve this problem ASAP
DiKsa [7]

\bold{\huge{\blue{\underline{ Solution }}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • <u>The </u><u>right </u><u>angled </u><u>below </u><u>is </u><u>formed </u><u>by </u><u>3</u><u> </u><u>squares </u><u>A</u><u>, </u><u> </u><u>B </u><u>and </u><u>C</u>
  • <u>The </u><u>area </u><u>of </u><u>square </u><u>B</u><u> </u><u>has </u><u>an </u><u>area </u><u>of </u><u>1</u><u>4</u><u>4</u><u> </u><u>inches </u><u>²</u>
  • <u>The </u><u>area </u><u>of </u><u>square </u><u>C </u><u>has </u><u>an </u><u>of </u><u>1</u><u>6</u><u>9</u><u> </u><u>inches </u><u>²</u>

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>area </u><u>of </u><u>square </u><u>A</u><u>? </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>

The right angled triangle is formed by 3 squares

<u>We </u><u>have</u><u>, </u>

  • Area of square B is 144 inches²
  • Area of square C is 169 inches²

<u>We </u><u>know </u><u>that</u><u>, </u>

\bold{ Area \: of \: square =  Side × Side }

Let the side of square B be x

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ 144 =  x × x }

\sf{ 144 =  x² }

\sf{ x = √144}

\bold{\red{ x = 12\: inches }}

Thus, The dimension of square B is 12 inches

<h3><u>Now, </u></h3>

Area of square C = 169 inches

Let the side of square C be y

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ 169 =  y × y }

\sf{ 169 =  y² }

\sf{ y = √169}

\bold{\green{ y = 13\: inches }}

Thus, The dimension of square C is 13 inches.

<h3><u>Now, </u></h3>

It is mentioned in the question that, the right angled triangle is formed by 3 squares

The dimensions of square be is x and y

Let the dimensions of square A be z

<h3><u>Therefore</u><u>, </u><u>By </u><u>using </u><u>Pythagoras </u><u>theorem</u><u>, </u></h3>

  • <u>The </u><u>sum </u><u>of </u><u>squares </u><u>of </u><u>base </u><u>and </u><u>perpendicular </u><u>height </u><u>equal </u><u>to </u><u>the </u><u>square </u><u>of </u><u>hypotenuse </u>

<u>That </u><u>is</u><u>, </u>

\bold{\pink{ (Perpendicular)² + (Base)² = (Hypotenuse)² }}

<u>Here</u><u>, </u>

  • Base = x = 12 inches
  • Perpendicular = z
  • Hypotenuse = y = 13 inches

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ (z)² + (x)² = (y)² }

\sf{ (z)² + (12)² = (169)² }

\sf{ (z)² + 144 = 169}

\sf{ (z)² = 169 - 144 }

\sf{ (z)² = 25}

\bold{\blue{ z = 5 }}

Thus, The dimensions of square A is 5 inches

<h3><u>Therefore</u><u>,</u></h3>

Area of square

\sf{ = Side × Side }

\sf{ = 5 × 5  }

\bold{\orange{ = 25\: inches }}

Hence, The area of square A is 25 inches.

6 0
3 years ago
10)
777dan777 [17]

Answer:

a

Step-by-step explanation:

thank me later

5 0
3 years ago
Express the interval shown on the number line in inequality notation.
Bess [88]

Answer: x < -3 or x > 5

Step-by-step explanation: Interval notation shows the values of x. X is less than -3, or greater than 5.

6 0
3 years ago
A line with a slope of 5/7 passes through the point (7, 8) what is it’s equation in slope intercept form?
Pachacha [2.7K]

Answer:

y = (5/7)x + 3

Step-by-step explanation:

We use the form y = mx + b.  Substituting (5/7) for m, 7 for x and 8 for y, we get:

8 = (5/7)(7) + b, or 8 = 5 + b.  Thus, b = 3, and the desired equation is

y = (5/7)x + 3

5 0
3 years ago
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