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Sauron [17]
3 years ago
13

If 2 angles are both right angles then they are congruent. Would the converse of this statement be true?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

Given:

The statement is: If 2 angles are both right angles then they are congruent.

To find:

The converse of the given statement and then check whether it is true or not.

Solution:

We know that,

Statement: If p, then q.

Converse : If q, then p.

The statement is: If 2 angles are both right angles then they are congruent.

So, the converse of this statement is:

If 2 angles are congruent then both are right angles.

This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.

Therefore, the converse of this statement is not true.

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A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter
Anastasy [175]

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

3 0
3 years ago
Whats the mean of the data set <br>86,90,93,85,79,92​
k0ka [10]

Answer:

87.5

you need to add all the numbers and the divide it by the sum of values

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3 years ago
An animal rescue group tracks how their marketing impacts the pet adoptions that occur each year. A record of adoptions for a 12
jenyasd209 [6]

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3 years ago
Please answer this.<br>thank you​
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Answer:

C

Step-by-step explanation:

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Read 2 more answers
The following question has two parts. First, answer part A. Then, answer part B.
Dmitriy789 [7]

Answer:

Her estimate is reasonable.She can make 25 completed centerpieces

Step-by-step explanation:

Estimate 20 flowers per centerpiece.  430 flowers divided by 20 flowers per centerpiece.

430 /20 is approximately 21 centerpieces.  Her estimate is reasonable.

430/20  Divide the top and bottom by 10

43/2  is  21*2 = 42   with 1 left over    21  1/2

We know we underestimated when we rounded 17 to 20.  Se we are a little under with 21.5


Exact answer:

430÷17

17 goes into 43  2 times  (17*2 = 34  43-34 =  9 left over)

17 goes into 90 5 time  (17*5 = 85  90-85 = 5 left over)

She can make 25 completed center pieces      

8 0
4 years ago
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