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telo118 [61]
3 years ago
6

Please help with Geometry!! <3

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

∠CAD ≅ ∠ACB

Step-by-step explanation:

The justification states "alternate interior angles theorem."  Alternate interior angles would be inside the parallel lines and on opposite sides of the transversal.  The only pair of angles in our choices that fits this definition is ∠CAD and ∠ACB .

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Which set of integers is a Pythagorean triple and are the side lengths of a right triangle?
m_a_m_a [10]

Answer: the integers that is a Pythagorean triple and are the side lengths of a right triangle is

C. 9, 40, 41

Step-by-step explanation:

A Pythagorean triple is a set of three numbers which satisfy the Pythagoras theorem. The Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Let us try each set of numbers.

A. 20,23,28

28^2 = 20^ + 23^2

784 = 400 + 529 = 929

Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.

B. 18, 26, 44

44^2 = 18^ + 26^2

1936 = 324 + 676 = 1000

Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.

C. 9, 40, 41

41^2 = 9^ + 40^2

1681 = 81 + 1600 = 1681

Since both sides of the equation are equal, the set of numbers is a Pythagoras triple.

D. 8, 20, 32

32^2 = 20^ + 8^2

1024 = 400 + 64 = 464

Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.

7 0
3 years ago
Evaluate the expression 2^5/2^3 and write your<br> answer as a fraction in simplest form.
Semenov [28]

Answer:

32/8 simplest is 4/1 or 4

Step-by-step explanation:

7 0
3 years ago
Find the 43rd term of the sequence 27,24,21,18
Elan Coil [88]
The sequence is decreasing by 3 each time
So the formula would be y =27-3(x-1)
Plug in 43
Y =27-3(43-1)
Y = 27-3(42)
Y = 27-126
Y = -99
The 43rd term of the sequence would be -99

Hope this helps :)
7 0
4 years ago
Read 2 more answers
The average profit a local store owner earns on a given day is $960 and is growing
Ostrovityanka [42]

The average profit of the local store is an illustration of an exponential function

The profit function is: y = 960 * (0.9894)^{x}

<h3>How to determine the function</h3>

From the question, we have:

  • Initial value (a) = 960
  • Rate per year (b) = 88%

An exponential function is represented as:

y = ab^x

So, the function that represents the profit per year is:

y = 960 * (88\%)^x

Divide x by 12 to get the monthly rate

y = 960 * (88\%)^{x/12}

Evaluate the exponent

y = 960 * (0.9894)^{x}

Hence, the profit function is: y = 960 * (0.9894)^{x}

Read more about exponential functions at:

brainly.com/question/11464095

6 0
2 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
lbvjy [14]

Answer:

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

0 = – 3x2 – 2x + 6

It can still be written as

– 3x2 – 2x + 6 =0

Quadratic formula=

-b+or-√b^2-4ac/2a

Where

a=-3

b=-2

c=6

x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

8 0
3 years ago
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