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ozzi
3 years ago
8

9. Complete the reasons in the proof below.

Mathematics
1 answer:
Arada [10]3 years ago
4 0
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.

Feel free to ask further questions!
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Which of the following sets is not finite?
Alja [10]
\{x|x\in\mathbb{N}\ \wedge\ n < 10\}=\{0;\ 1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9\}-FINITE\\\\\{x|x\in\mathbb{Z}\ \wedge\ 0 < x < 10\}=\{1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9\}-FINITE\\\\\{x|x\in\mathbb{Z}\ \wedge\ x < 0\}=\{...;-4;-3;-2;-1\}=\mathbb{Z}^--NOT\ FINITE
8 0
3 years ago
kendrick deposits twice as much money into his account as he did the day before his initial deposit is 5 dollars write an equati
Ulleksa [173]
To represent this scenario, you will look at what is happening mathematically and represent it.

Beginning with 5, this will double each day, so 5 x 2 is the deposit.

Then, this amount will double, so (5 x 2) x 2 is the deposit.

Next this will double, and so on.

What is happening is that it is always doubling the previous day's deposit, so x 2 x 2 x 2, etc... you will use exponents to show the number of days that it doubled.

y = 5 x 2^x
8 0
3 years ago
In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

    tan Ф = 1/4

-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

- Find the other acute angle

  The sum of the internal angles in a triangles equals 180°

       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

3 0
3 years ago
The area of a circle with radius 1 cm is ______________. (Use 3.14 for pi)
Tcecarenko [31]

Answer:

6,28

Step-by-step explanation:

NOT NEEDED FOR THIS QUESTION

7 0
3 years ago
The sum of 5 and y is greater than or equal to 7
harina [27]

Answer:

5 + y ≥ 7

Step-by-step explanation:

"The sum of 5 and y"

The sum of two items will be the two items added, and in this case, it is 5 and y, or

5 + y.

"Greater than or equal to 7"

Here, use the symbol, ≥, and 7.

≥ 7

Combine those to get the final equation:

5 + y ≥ 7.

7 0
3 years ago
Read 2 more answers
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