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rosijanka [135]
3 years ago
5

State the postulate or theorem that proves that x is parallel to y

Mathematics
1 answer:
Schach [20]3 years ago
3 0
Converse of the alternate interior angles theorem states the postulate or theorem that proves that x is parallel to y.
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I need to replace the carpet for my bedroom floor and the supplier wants to
I am Lyosha [343]

Answer:

D. 120 square feet

Step-by-step explanation:

12×10=120

120 square feet

6 0
3 years ago
Read 2 more answers
1) Expand and simplify the following:<br>a)3(x squared plus 3x cubed - 2)​
Musya8 [376]

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)​

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)​

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

5 0
3 years ago
In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%.I) Find the weight of the wastage. II) Fi
slega [8]

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter  is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is  23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

8 0
3 years ago
Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is
bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula m=\frac{y_2-y_1}{x_2-x_1} to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is m=\frac{6-1}{2-3}

\implies m=\frac{5}{-1}=-5.

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is m=\frac{4-5}{-2- -2}=\frac{-1}{0}= undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is m=\frac{10-8}{2-0}=\frac{2}{2}=+1

A positive slope means this line rises

24)  The points are (-3,-3), (3,1)

The slope is m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2

A negative slope means this line falls

26)  The points are (-2,-8) , (5,-8).

Slope: m=\frac{-8--8}{5--2}=\frac{0}{7}=0

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: m=\frac{3-2}{5--1}=+\frac{1}{6}

A positive slope means this line rises

28) The points are: (\frac{1}{2},4), (-1,4)

Slope: m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0

A zero slope means the line is horizontal

29) The points are: (4,\frac{1}{2}), (5,\frac{1}{4})

Slope: m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}

A negative slope means this line falls.

6 0
3 years ago
P(x)=×^4-x^2-3<br>use the remainder theorem and synthetic division to find p(-2)
xxTIMURxx [149]

Answer: p(-2)=9


Step-by-step explanation:


8 0
3 years ago
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