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worty [1.4K]
2 years ago
9

Complete the two-column proof by providing a reason for each of the five statements.

Mathematics
1 answer:
koban [17]2 years ago
7 0

I will only be writing the reasons for each and you can respond if you need clarification for anything:

1. given

2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)

3. def rectangle

4. SAS (side angle side congruence theorem)

5. CPCTC (congruent parts of congruent triangles are congruent)

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1 Solve the compound inequality 4x&gt;-16 or 6x &lt;-48<br>​
Yuliya22 [10]

Answer:

Step-by-step explanation:

4x > -16 reduces to x > -4:  All numbers greater than x = -4 (shaded area to the right of -4).

6x < -48 reduces to x < -8:  All numbers to the left of -8 (shaded area to the left of -8).

Solution:  (-infinity, -4) ∪ (-8, infinity)

The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)

Draw an open circle at -8 and extend an arrow to the left of this circle.  Then draw an open circle at -4 and extend an arrow to the right of this circle.

5 0
2 years ago
Simplify the expression (2-5 root 6) times 3 root 2
lys-0071 [83]

Answer:

6(√2 - 5√3).

Step-by-step explanation:

3√2 ( 2 - 5 √6)

= 6√2 - 15√12

= 6√2 - 15√4√3

= 6√2 - 30√3

= 6(√2 - 5√3)

6 0
3 years ago
How do I solve this and what is the answer?
DanielleElmas [232]

Answer:

You use PEMDAS.

Step-by-step explanation:

If you dont know what that is, its the process used for long multistep equations like that :  Parenthesis, Exponents, Multiplication, Division, Addition, then Subtraction. You solve all of those in order (if they are included in the problem). So for this you would solve one side of the inequality sign first using this order, then the other side and BAM! you've solved this problem.

8 0
3 years ago
Please help! i need to pass this class!!
torisob [31]

Angle B = 54°

Step-by-step explanation:

complimentary means they add up to 90

54 + 36 (angle A) = 90

also x= 51

3 0
2 years ago
Read 2 more answers
Please! I need help!
topjm [15]

Answer:

2^1×2^3

2^8×2^−5

2^1×2^2

Step-by-step explanation:

7 0
3 years ago
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