1st question- m+8
2nd question- 15
3rd question- 6(m+3)
4th question- 13
5th question- m+12
Answer:
UY = 90
GH = 4
Step-by-step explanation:
Since both figures are similar, the ratio of their corresponding side lengths would be the same.
Thus:
✔️UY/GF = XW/IJ
UY/10 = 54/6 (Substitution)
Multiply both side by 10
UY = (54*10)/6
UY = 90
✔️Also,
UV/GH = XW/IJ
36/GH = 54/6
36/GH = 9
GH = 36/9
GH = 4
Outcome Red Blue Green Yellow
Frequency 10 5 13 7 total: 35 trials
experimental probability of Yellow: 7/35 =1/5 or 20%
experimental probability of Blue or Red: 5/35 + 10/35 = 15/35 = 3/7 or 42.86%
The sample is biased. This is because all he interviewed are employees of the company. They are more inclined to give a positive feedback regardless of their true opinion because they want to retain their jobs.
Answer:
x=5
Step-by-step explanation:
The sides have to be equal length
3x+4 = 5x-6
Subtract 3x from each side
3x+4-3x = 5x-6-3x
4 = 2x-6
Add 6 to each side
4+6 = 2x-6+6
10 = 2x
Divide by 2
10/2 =2x/2
5 =x
I'll do problem 12 to get you started
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Part (a)
The ratio 3:6:7 means the three sides are 3x, 6x and 7x centimeters long. The x is some positive real number.
The longest side is 7x, which is also 16.1, so 7x = 16.1
Divide both sides by 7 to isolate x
7x = 16.1
7x/7 = 16.1/7
x = 2.3
Now we can calculate the other two sides
3x = 3*2.3 = 6.9
6x = 6*2.3 = 13.8
<h3>The other two sides are 6.9 cm and 13.8 cm</h3>
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Part (b)
Add up the three sides to get
6.9 + 13.8 + 16.1 = 36.8
<h3>The perimeter is 36.8 cm.</h3>
