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Mnenie [13.5K]
2 years ago
14

I will give barinest if solved

Mathematics
1 answer:
tankabanditka [31]2 years ago
8 0

Answer:

x=19

Step-by-step explanation:

We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\  are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-590+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19

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Calculate the average velocity of a dancer who moves 5 m toward the left of the stage over the course of 15 s.
Neko [114]

Answer:

Divide the distance by the time and get average velocity in units of m/s.  The direction is to the left.

8 0
2 years ago
Read 2 more answers
A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that
Lyrx [107]

Answer:

Probability = \frac{1}{5} or Probability = 0.2

Step-by-step explanation:

Given

Black = 25

White = 35

Red = 40

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)

Convert to mathematical expressions

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]

Solve for each probaility;

P(Black) = \frac{Black}{Total} = \frac{25}{100}

P(Red) = \frac{Red}{Total} = \frac{40}{100}

So, we have:

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]

Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]

Probability = [\frac{1}{10}] + [\frac{1}{10}]

Probability = \frac{1+1}{10}

Probability = \frac{2}{10}

Probability = \frac{1}{5}

or

Probability = 0.2

7 0
3 years ago
Find the length of a rectangle if its
Alina [70]

Answer: L = 29cm

Step-by-step explanation:

Let's go!!

To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.

So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.

Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90

Then, you might to solve this system of equation:

2L + 2w = 90

w = L - 13

Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).

Our new system:

L + w = 45

w = L - 13

Using the substituition method:

L + L - 13 = 45

2L = 58

L = 29 cm

the width is 29 - 13 = 16 cm

4 0
3 years ago
Based on the diagram above, which of the following does not make q and parallel
iragen [17]
C. Because it only gives the measure of angles on line p and not line q
3 0
2 years ago
Please please please help me!
OleMash [197]

Answer:

<76

Step-by-step explanation:

Remark

You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.

Properties

<ABG = x                       Given

<ABG = <BGF               Alternate interior angles are equal.

<BGF = x                       Substitute

x + 2x - 9 = 180             Consecutive angles in a ||gram equal 180 degrees.

3x - 9 = 180                    Add 9 to both sides

3x - 9 +9 = 180 +9

3x = 189                         Divide by 3

x = 63

<DHG = 2x - 50            Given

<DHG = 2*63 - 50         Substitute for x

<DHG = 76

<IDC  = 76

<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.

6 0
3 years ago
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