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kotegsom [21]
3 years ago
11

Write a statement

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

9514 1404 393

Answer:

  C)  ΔDCE ≅ ΔDQR

Step-by-step explanation:

Corresponding vertices can be identified by the number of arcs signifying congruence.

  1 mark: angles D and D

  2 marks: angles C and Q

  3 marks: angles E and R

Corresponding angles are listed in the same order in the congruence statement:

  ΔDCE ≅ ΔDQR

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Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s
pashok25 [27]

Answer:

15,120 for the first question. 1,680 if one of the books is a must

Step-by-step explanation:

When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.

We can make an equation to represent this,

9 x 8 x 7 x 6 x 5

Multiplying all of that out gets you 15,120.

The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.

8 x 7 x 6 x 5

Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.

5 0
3 years ago
Which phrase best describes a theorem in an axiomatic system? A.) the accepted meaning of a term B.) an assumption made with lit
SOVA2 [1]

Answer:

D

Step-by-step explanation:

In Maths, axioms are basically set of propositions from which we can derive true statements from logic. Then these statements are known as theorems.

Hence, defining theorem in an axiomatic way means that a statements that we derive from axioms (propositions) using logic and that is proven to be true.

From the answer choices, we see D goes with this, hence D is the correct answer.

8 0
3 years ago
Read 2 more answers
The population of deer in a given park is modeled by y = d(x) = A( 1 2 )x + B, where x is the elapsed time in years since 2019.
kirill [66]

Answer:

Step-by-step explanation:

The answer is B) B :)

8 0
3 years ago
Read 2 more answers
What is the solution to -x2 + 5x - 3
CaHeK987 [17]

The solution to the equation is x=\frac{5-\sqrt{13}}{2} and x=\frac{5+\sqrt{13}}{2}

Explanation:

Given that the equation is -x^2+5x-3=0

We need to determine the solution of the equation.

The solution of the equation can be determined using the quadratic formula.

The quadratic formula is given by

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Hence, from the equation, we have,

a=-1,\:b=5,\:c=-3

Substituting these values in the quadratic formula, we get,

x=\frac{-5\pm \sqrt{5^2-4\left(-1\right)\left(-3\right)}}{2\left(-1\right)}

Simplifying, we get,

x=\frac{-5\pm \sqrt{25-12}}{-2}

Simplifying the terms within the root, we get,

x=\frac{-5\pm \sqrt{13}}{-2}

Thus, the roots of the equation are x=\frac{-5+ \sqrt{13}}{-2} and x=\frac{-5- \sqrt{13}}{-2}

Taking out the negative sign, we get,

x=\frac{-(5- \sqrt{13})}{-2} and x=\frac{-(5+ \sqrt{13})}{-2}

Cancelling the negative sign, we get,

x=\frac{5-\sqrt{13}}{2} and x=\frac{5+\sqrt{13}}{2}

Thus, the solutions of the equation are x=\frac{5-\sqrt{13}}{2} and x=\frac{5+\sqrt{13}}{2}

7 0
3 years ago
What is the simplest form of 24/126
ankoles [38]
If you keep simplifying it would end up to 4/21
4 0
3 years ago
Read 2 more answers
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