In the figure below, lines p and q are parallel. What do you notice?
the options are alternate exterior,

alternate interior,

vertical, corresponding

and supplemantary.

Answer:

See below ~

Step-by-step explanation:

Volume of prism :

Volume of small-size box of dog treats :

Answer:

Step-by-step explanation:

The number of elements in a power set = the number of subsets of a set

Formula:

Let S be a sent ,the number of elements of  the power set of S =

[tex]2^{\text{card(S)} }[/tex]

Where card(S) = number of element of S itself.

=======================================

In this case :

Card(S) = 3

Then

the number of elements of  the power set of S =

[tex]2^{3}=8[/tex]

Answer:

a

Step-by-step explanation:

f(x)-g(x)=2x square-3x+6-(3x square +4x-8)

2x square-3x+6-3x square-4x+8

-x square-7x+14

Answer:

$20

Step-by-step explanation:

49 is the outlier

Answer:

C is 17.

Use Pythagorean theorem to find c (hypotenuse)

[We can use this theorem because it is a right triangle]

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

c^2 = 289

c = sqrt(289) = 17

Answer: c = 17 cm

Step-by-step explanation:

     Since this is a right triangle, we will use the Pythagorean theorem to solve. The a and b variables are legs, the c variable is the hypotenuse. Here, we are solving for the hypotenuse.

a² + b² = c²

8² + 15² = c²

64 + 225 = c²

64 + 225 = c²

289 = c²

c = [tex]\sqrt{289}[/tex]

c = 17

           Side c has a length of 17 cm.

Answer:

X > 3

Step-by-step explanation:

When divided or multiplied by a negative number the inequality will change

Answer

2 1/8

Step-by-step explanation 10–7 7/8=(10 – 7) + ( 0–7/8)= 3 +0 × 8 – 7/8= 3 + 08– 78=  3 + 0 – 78=  3 + -7/8 = 2 1/8

Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.

Let suppose that the iron beam has an uniform density, the mass of the iron beam (m), in gram, is equal to the product of its density (ρ), in grams per cubic centimeter, and its volume (V), in cubic centimeters:

m = ρ · V     (1)

If we know that ρ = 10504 cm³ and V = 7.8 g/cm³, then the mass of the iron beam is:

m = (7.8 g/cm³) · (10504 cm³)

m = 81931.2 g

Under the assumption of uniform iron beam and definition of uniform density, the total mass of the iron beam is equal to 81931.2 grams.

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Answer:

E

Step-by-step explanation:

1 2/3

Divide 5/3 and you get 1 2/3

Answer:

E) 1 2/3

Step-by-step explanation:

5 divided between 3 buckets in 5/3 which in a mixed number is 1 2/3

Answer: y=-1x+5

Step-by-step explanation:

1. Use slope-intercept formula (y = mx + b) to find the slope which is represented by the variable 'b'.

m = ∆y / ∆x

m = -1 / 1

m = -1

y= -1x + b

2. Use any cooresponding x and y values to substitute into the formula. Ex: (x,y) → (1,4)

y = mx + b

4 = -1(1) + b

4 = -1 + b

5 = b

3. Plug in the values found into the formula.

y = -1x + 5

Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.

The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.

The number of unpainted cubes per surface is therefore:

= 10 - 2

= 8 cubes

Number of unpainted cubes is:

= 8 x 8 x 8

= 512 cubes

Number of cubes with one face painted:

= Total cubes - Number of unpainted cubes

= 1,000 - 512

= 488 cubes.

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Answer:

8. 3/10

9. 1/7

10. a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1.  solid and liquid

2. Evaporation changes liquid water to water vapour.

for #1: for example, it's raining, when it rains, the rain is water (liquid).

Or it's snowing, the snow is solid.

for #2: for example, when you are making tea, you need hot water, so you add heat, then the water lessens because it's transforming to gas, and sometimes you can see it.

Answer:

1. solid and liquid

2. water vapor (gas)

The correct roots of this equation is:

x = 10

y = 6

– This equation is a value substitution system. To solve it, we will: add the terms equal to x, with the sums of the equality.

2x + y = 26

x - y = 4

2x + x = 26 + 4

3x = 30

x = 30/3

x = 10

– Now, let's "take" the first equation of the system, and we'll calculate it, replacing x with its value.

2x + y = 26

2 . 10 + y = 26

20 + y = 26

y = 26 - 20

y = 6

Therefore, the roots of this equation or system is:

x = 10

y = 6

Answer:

41/100.

Step-by-step explanation:

Per cent (%)  means 'per hundred'.

as a fraction: 41/100.

As a decimal it is 0.41.

26.4

Answer:

S8nce N is inthe center NL is one half of KM

The solution to the quadratic equation 6x² + 6 = 12x is x = 1

The quadratic equation is given as:

6x² + 6 = 12x

Equate the equation to 0

6x²  - 12x + 6 = 0

Expand the equation

6x²  - 6x - 6x + 6 = 0

Factorize the expression

6x(x  - 1) - 6(x - 1) = 0

Factor out x - 1

(6x - 6)(x  - 1) = 0

Split

6x - 6 = 0 or x - 1 = 0

Solve for x in both instance

x = 1 or x = 1

Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1

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Answer:

1/6

Step-by-step explanation:

Firstly the coin will have a probability of getting 1/2 for tails and also 1/2 for heads since it is fair.

A cube has 6 sides hence will have numbers 1-6 on each side. Numbers greater than 4 on a cube will be 5,6 and both of them have a 1/6 chance of getting drawn therefore in total it is a 2/6 chance.

Probability of getting tails is 1/2 and probability of getting number greater than 4 is 2/6.

Hence the total probability will be 1/2 x 2/6 = 1/6

Answer:

  M(-1/2, -1/2, 1/2)

Step-by-step explanation:

To find the midpoint of a line segment, average the coordinates of the end points.

  M = (A +B)/2

__

  M = (V +W)/2

  M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2

  M = (-1/2, -1/2, 1/2)

The midpoint between V and W is M(-1/2, -1/2, 1/2).

Answer:

No, it will not be a right triangle

Step-by-step explanation:

Since E (-4, 5) and F (-1, 1) are both in-plane one and G (3, 4) in-plane two

The x's are wrong for E and F which would be a cause for not a right triangle

And the y for G is not either 5 or 1 which would help make the triangle a right triangle.

So the triangle ends up being an scalene triangle and not a right triangle

Hopes this helps :)

Answer:  X = 3 and Y = 0           3,0

Answer:

[tex]y^{5}\times y^{3}=y^8[/tex]

Step-by-step explanation:

exponent property :

[tex]\left( a\right)^{n} \times \left( a\right)^{m} =\left( a\right)^{n+m}[/tex]

………………………………………

[tex]\Longrightarrow y^{5}\times y^{3}=y^{5+3}=y^8[/tex]

Answer:

I guess 25%..

Step-by-step explanation:

Solution,

Here,

Amount of decrease= $180 - $135

= $45

Now,

Percent of decreasement = $45/$180 × 100%

= 25%

Answer:

  x⁷y⁷

Step-by-step explanation:

An exponent signifies the base is a repeated factor in the product. The exponent is the number of times it is a factor.

__

The term (xy)^7 means (xy) is a factor 7 times:

  = (xy)·(xy)·(xy)·(xy)·(xy)·(xy)·(xy)

The commutative and associative properties of multiplication let us rearrange this to ...

  = (x·x·x·x·x·x·x)·(y·y·y·y·y·y·y)

  = (x^7)(y^7)

The expression can be simplified to ...

  [tex](xy)^7 =\boxed{x^7y^7}[/tex]

_____

The rule of exponents is ...

  (ab)^c = (a^c)(b^c)

Answer:

Step-by-step explanation:

a) International: Three hundred twelve thousand six hundred ninety five
   Pakistani: Three lakh twelve thousand six hundred ninety five

b) International: Five Million four hundred sixty nine seven hundred twenty four

   Pakistani: Fifty Four crore sixty nine thousand seven hundred twenty four

c) International: Four Million three thousand two hundred forty

   Pakistani: Fourty Lakh three thousand two hundred forty

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Answer:

98 = 2x + 2(22)

Step-by-step explanation:

Let x be the length of the room. Using P = 21 + 2w or the formula for the perimeter of a rectangle, with the perimeter equal to 98 and the width equal to 22, then

98 = 2x + 2(22)

Answer: 10:58 a.m.

Step-by-step explanation:

To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.

Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.

To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.

Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.

[tex]0.10 = 10^{-1}\\\\0.07 = 7 \times 10^{-2}[/tex]