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nikdorinn [45]
3 years ago
7

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

9514 1404 393

Answer:

  x = 14°

  y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

  5y = 25°

  y = 5° . . . . . . divide by 5

__

Similarly, angle MOB is complementary to angle LOM, so ...

  90° -25° = 3x +23°

  42° = 3x . . . . . subtract 23° and simplify

  14° = x . . . . . .  divide by 3

The values of x and y are ...

  • x = 14°
  • y = 5°
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Simplify the following rational expression and state for what values they are undefined.
QveST [7]

Answer:

d-2  and d cannot = 8

Step-by-step explanation:

d^2 -10d+16

-----------------------

d-8

Factor the numerator

( d-8)(d-2)

-------------------

d-8

The undefined values occur when the denominator is equal to zero

d-8 = 0  

  d= 8

This means d cannot equal 8

Now cancel like terms in the equation ( d-8)

This yields d-2

3 0
3 years ago
Read 2 more answers
elizabeth has 8 socks in her drawer: 4 black socks, 2 white socks and 1 brown sock and 1 red sock. she chooses a sock at random
Debora [2.8K]

The probability that she picks two white socks is 0.0357

<h3>How to determine the probability?</h3>

The given parameters are:

Socks = 8

Black = 4

White = 2

Brown = 1

Red = 1

The probability of picking a white sock at first is:

P(White) = 2/8

Now, there are 7 socks left

The probability of picking a white sock next is

P(White) = 1/7

The required probability is:

P = 2/8 * 1/7

Evaluate

P = 0.0357

Hence, the probability that she picks two white socks is 0.0357

Read more about probability at:

brainly.com/question/251701

#SPJ1

3 0
2 years ago
‼️help please ASAP ‼️
Lana71 [14]
The answer to this question is true. The equation (x-h)^2+(y-k)^2 = r^2 represents a circle with a center at (h,k). Taking (h,k) = (-2,2) and r = 3 results in (x+2)^2 + (y-2)^2 = 9. A negative subtracted by a negative is a positive.
3 0
3 years ago
The faces of a number cube are labeled 1 through 6. If the number cube is rolled 72 times, which is closest to the number of tim
Inessa [10]

18 times

Since there only two numbers greater than 4 (5 & 6), you subtract 2 from 6.

6 - 2 = 4

Then, you divide that from 72.

72 \div 4 = 18

So, the number of times I would expect the outcome to be greater than 4 is 18.

3 0
3 years ago
What is the recursive formula for the geometric sequence ? 6,-24,96,-384,...
irinina [24]

Answer:

the \: recursive \: formula \: is \\ tn = 6( {4}^{n - 1} )

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

the \: given \: geometric \: sequence \: is \\ 6,  \: - 24, \: 96, \:  - 384 \\ the \: first \: term \: is \: 6 \: and \: the \: common \: ratio \: is \:  - 4 \\ the \:  {n}^{th} term \: of \: the \: geometric \: sequence \: is \\ tn = a {r}^{n - 1}  \\ here \: first \: term \:( a) = 6 \\ common \: ratio \: (r) =  - 4 \\ on \: substituting \: the \: values \: in \: formula \\ tn = 6( { - 4}^{n - 1} ) \\ the \: above \: mentioned \: formula \: is \: \\ the \: recursive \: formula \: \\  for \: geometric \: sequence.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

5 0
3 years ago
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