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Dmitriy789 [7]
2 years ago
11

Complete the two-column proof by providing the missing statements or reasons.

Mathematics
2 answers:
gogolik [260]2 years ago
5 0

Answer:

ABCD is equal to <= ad-bc-cd-ba

,><

Step-by-step explanation:

Fynjy0 [20]2 years ago
5 0

Answer:

Proof is stated below.

Step-by-step explanation:

Given: ABCD is a rhombus.

To Prove: <1 is congruent to <2.

Therefore,

Given: ABCD is a rhombus.

AD = BC = CD = BA: Definition of a parallelogram / rhombus ; four equal sides.

DO = OB ; AO = OC ; Diagonals of a parallelogram bisect each other.

Triangle DOC is congruent to BOA ; SAS (Side-Angle-Side) theorem.

<1 is congruent to <2 ; Definition of a parallelogram ; consecutive angles are supplementary.

Hence, proved.

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You walk through a used car lot and list the price and model year of each car you see determine whether the two variables are re
Blizzard [7]

Answer:

The narrative in the question can not be described as a function

Step-by-step explanation:

For the purpose of clarity, we will rephrase the question. The key point in the question  is to determine if the price and the model are related and if they fit into independent and dependent function.

Moving forward, to properly answer this question, it will be good for us to understand what dependent and independent functions are.

DEPENDENT FUNCTIONS: These are functions or can also be refereed to as variable that represents quantities or values whose parameter depends on how the independent variable is manipulated.

Example:

You are doing job to earn your a salary. For each project you do, you earn $10 dollar. In this case, the dependent variable is the amount of money you earn because the amount of money you earn depends on how many job or project you do.

INDEPENDENT FUNCTIONS: These are functions or can also be refereed to as variable that we have control over in the process of an event therefore, we are at liberty to manipulate it as we so wish as indicated in the dependent variable.

Going back to the narrative of the question, the narrative in the question can not be described as a function because the two identifies variables which are the price and the model years are been altered due to the fact that it is a used car lot so they have both lost their true value or worth. However, some might argue that price here is the independent function or variable while model year is the dependent variable.

5 0
2 years ago
a father is now 38 years older than his son. Ten years ago he was twice as old as his son. let x represent the age of the son no
Helga [31]

The present age of father is 86 years old and present age of son is 48 years old

<em><u>Solution:</u></em>

Given that, a father is now 38 years older than his son

Ten years ago he was twice as old as his son

Let "x" be the age of son now

Therefore, from given,

Father age now = 38 + age of son now

Father age now = 38 + x

<em><u>Ten years ago he was twice as old as his son</u></em>

Age of son ten years ago = age of son now - 10

Age of son ten years ago = x - 10

Age of father ten years ago = 38 + x - 10

Then we get,

Age of father ten years ago = twice the age of son ten years ago

38 + x - 10 = 2(x - 10)

28 + x = 2x - 20

2x - x = 28 + 20

x = 48

Thus son age now is 48 years old

Father age now = x + 38 = 48 + 38 = 86

Thus present age of father is 86 years old and present age of son is 48 years old

7 0
3 years ago
Pleaseeee help me I really need it
Agata [3.3K]

Answer:

The correct answer was

1=Zero product property

2=square root property

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What has no congruent sides and no congruent angles?
Mademuasel [1]
Hey there!

The correct answer to your question is a circle.

A circle doesn't have any congruent sides or congruent angles, meaning they don't have sides or angles that point in the same direction.

Hope this helps you.
Have a great day!
3 0
2 years ago
Read 2 more answers
If $300 is invested at a rate of 5% per year and is compounded quarterly how much will the investment be worth in 15 years?
dimulka [17.4K]

Answer:

In 15 years the final balance will be $632.15

Step-by-step explanation:

The final balance would be $632.15 and the total compound interest would be $332.15. If you have trouble with these kind of questions in the future I suggest using a compound interest calculator that can be found online :)

5 0
2 years ago
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