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Elden [556K]
3 years ago
9

What reason should kamal add to all of the question marks in order to completer the proof

Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer: The answers is alternate interior angles.


Step-by-step explanation:  First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

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Find all values of c such that
klemol [59]

Step-by-step explanation:

c/(c - 5) = 4/(c - 4)

By Cross-multiplying,

We have c(c - 4) = 4(c - 5).

=> c² - 4c = 4c - 20

=> c² - 8c + 20 = 0

Since the discriminant is negative,

there are no real solutions for c.

However, there exist complex solutions for c.

Using the Quadratic Formula,

c = [8 ± √(-16)]/2

=> c = 4 ± √(-4)

=> c = 4 ± 4i or c = 4(1 ± i).

8 0
3 years ago
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Given that a=4, b=4 and c=-2 work out b(squared) -2ac
Nimfa-mama [501]

Answer:

32

Step-by-step explanation:

substitute the given values of a, b and c into the expression:

b² - 2ac = 4² - (2 x 4 x -2)

             = 16 - (-16)

             = 16 + 16

             = 32

3 0
2 years ago
If 3/4 = x/8 then x is equal to what
pickupchik [31]

Answer:

x is 6

Step-by-step explanation:

3/4 * x/8

3*8=24 then,

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Also if you simplify 6/8, it will give you 3/4.

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2 years ago
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Irving can I remember the correct order of the five digits on his ID number he does remember that the ID number contains the dig
Cloud [144]

Answer: \frac{27}{125}

Step-by-step explanation:

Here the total numbers are 1,  4,  3,  7,  6

Since the total number of possible arrangement = 5\times 5 \times5 \times 5 \times 5=5^5

The total number of the odd numbers in the given numbers = 3

Thus the possible arrangement that the first three digits will be odd numbers = 3\times 3\times 3\times 5\times 5=3^3\times 5^2

Thus, the probability that the first three digits of Irvings ID number will be odd numbers = the possible arrangement that the first three digits will be odd numbers / total possible arrangement =  \frac{3^3\times 5^2}{5^5} = \frac{3^2}{5^{5-2}}

= \frac{3^3}{5^3} = \frac{27}{125}

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3 years ago
How do I do this? Can somebody answer and explain?
yan [13]
A) multiple the 3 x 4 and add 1.
3 x 4 = 12 + 1 = 13
13/3

B) (7 x 3) + 2 = 23/3

C) (4 x 2) + 1 = 9/2

D) (2 x 8) + 7 = 23/8

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