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Varvara68 [4.7K]
3 years ago
15

Determine whether the following conjecture is true or false. Give a counterexample if the answer is false.

Mathematics
1 answer:
brilliants [131]3 years ago
4 0
This conjecture is false, A and C don't have to be complementary angles.

Let Angle A be 100 and Angle B be 80 degrees. They are supplementary (sum of 180).
Let Angle C be 100 and Angle B is still 80 degrees. They are supplementary.

However, Angle A and Angle C are not complementary (sum of 90).
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The area of a rectangle is 42 square feet.
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Answer:

26 ft and 46 ft.

Step-by-step explanation:

The prime  factors of 42 are 2 * 3 * 7.

Possible lengths and widths  are:

L = 7, W = 6 giving a perimeter of  2*7 + 2*6 = 26 ft.

L = 14 , W = 3  giving perimeter = 34 ft.

L = 21, W = 2 giving perimeter = 46 ft.

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6. Given the function
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Answer:

See below.

Step-by-step explanation:

The  x - 1 will  move whole graph 1 unit to the right.

The 1/2 will stretch it horizontally by a factor 2.

The 2 will  stretch it vertically by a factor 2.

The -7 translates it 7 units down.

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Josh paid for four books with 3 20$ bills He received 16 $ in change Each book cost the same amount how much did each book cost
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If each quadrilateral below is a parallelogram,find the missing measures
Rufina [12.5K]

Answer:

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN   and   KL=MN

Upon substituting our given values we will get,

45=KN   and   31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given , therefore .

We will find measure of angle K by using supplementary angles.

By opposite angles of parallelogram .

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10  and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

(3) Property: Opposite sides of parallelogram are congruent.

  and  

Upon substituting our given values we will get,

  and  

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

 Alternate interior angles.

Opposite angles of parallelogram.

Therefore, measure of angle QRS will 74 degrees.

Alternate interior angles.

Now let us find measure of angle PSQ.

The image is not clear, so I am unable to answer the last two problems.

Step-by-step explanation:

8 0
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