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The measure of the angle C is 120°.

Given that the parallelogram ABCD, we need to find the measure of the angle C,

We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,

So,

∠D = ∠B

6x + 6 = 10x - 30

4x = 36

x = 9

So, ∠D = ∠B = 60°

So,

∠C + ∠D = 180°

∠C = 180° - 60°

∠C = 120°

Hence the measure of the angle C is 120°.

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Answer:

8x-2

Step-by-step explanation:

l = x+4

w = 3x-5

The perimeter is

P =2(l+w)

   = 2(x+4+3x-5)

Combine like terms

   = 2(4x-1)

Distribute

   = 8x-2

Answer:

[tex]8x-2[/tex]

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:

[tex]2(x+4)+2(3x-5)[/tex]

We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]

We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]

Adding them together, we get the answer as [tex]8x-2[/tex]

Answer:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M  

Step-by-step explanation:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).

Step-by-step explanation:

Hi there!

From the given Question, we have;

Diameter (d) = 34ft

Height (h) = 16ft

Now;

Radius (r) = d/2

= 34/2

= 17 ft

Now;

Volume (v) = 1/3(πr²h)

= 1/3(3.14 * 17² * 16) ft³

= 4839.78 ft³

Therefore, the Volume is 4839.78 ft³.

Hope it helps!

[tex]\\ \sf\longmapsto 75-3y[/tex]

[tex]\\ \sf\longmapsto 3(25-1y)[/tex]

[tex]\\ \sf\longmapsto 3(25-y)[/tex]

Answer:

Step-by-step explanation:

75-3y​

3(25+y)

Answer:

⅗hrs

Step-by-step explanation:

1hr =60 min

? = 36 min

cross-multiply .........

36 min × 1hr/60 min= 36min/60min × 1hr

=36/60 × 1 hr

= ⅗hrs

So you pretty much have all you need. 1/3 represents slope, and slope is m. Initial value would be your y intercept which is b.

y=1/3x-3

Answer:

y = x/3 - 3

Step-by-step explanation:

x/3 is the equivalent of 1/3(x)

Answer:

→ successive Rate of 20% for 2 Years = 2*20 + (20*20/100) = 40 + 4 = 44%.

And, when interest is compounded semi - Annually,

→ Rate = (20/2) = 10% .

→ Time = 2 * 2 = 4 Years.

So,

→ successive Rate of 10% for 4 Years = (2*10 + (10*10/100) = 21% Now, => 21*2 + (21*21/100) = 42 + 4.41 = 46.41% .

A/q,

→ (46.41%) - 44% = 482

→ 1% = (482/2.41)

→ 100% = (482/2.41) * 100 = Rs.20000 (Ans.)

Step-by-step explanation:

Answer from Gauth math

Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

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Answer:

Step-by-step explanation:

The largest number must be less than 31.

The smallest number must be greater than 9.

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

Answer:

since each side of a square is the same it can simply be the length of one side squared. if a square has one side of 4 inches ,the area would be 4 inches times 4 inches,or 16 square inches

Answer:

No

Step-by-step explanation:

Conditional probability is an event repeating itself.

ex.) you have 3 red marbles and 4 blue ones in a hat, since you already drew a red one, there is conditional probability you will draw red again. So unless you have already gotten a car for your birthday previously, you cannot classify your question as conditional probability.

Answer:

30

Step-by-step explanation:

Answer:

y-intercept = 3

Step-by-step explanation:

value that's on the y - axis

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

if this value 35% less than the total, we conclude that:

42,900 = 65%

1% = 660

100% = 66,000

if you want to check the value, just do 65% of 66000, which equals to 42,900

hope it helps :)

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

The volume of the given square pyramid is 480 cubic centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Slant height of pyramid is 10 cm and base is 8 cm.

The volume of square based pyramid =a²h/3.

Now, volume = (8²×10)/3

= 213.33 cubic centimeter

Therefore, the volume of a square pyramid is 213.33 cubic centimeter.

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Answer:

Both ends go down

Step-by-step explanation:

The end behavior of the function are Both ends go down. Therefore, Option C is true.

Given that,

The function is,

[tex]f (x) = - 2 (x - 17)^4[/tex]

Now the given function is defined at x → ∞,

f (x) = - 2 × ∞

f (x) → - ∞

As x goes to -∞

f(-∞) = -2(-∞)⁴

= -2 (∞)

= -∞

So, Both ends go to  -∞, or go down

Hence, The end behavior of the function are Both ends go down.

Therefore, Option C is true.

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Coordinate of D: (2, -2)

Multiply x and y by 0.5

Answer: D = (1, -1)

Answer:

25.47368421

Step-by-step explanation:

just use a calculator

Answer:

D. 5

Step-by-step explanation:

You can use proportions to solve this.

36/45=20/5x

Cross multiply the 5x and 36 as well as the 45 and 20

180x=900

Then, divide the 900 by 180

5

Answer:

x=5

Step-by-step explanation:

We can use ratios to solve

CB        CD

------ = -----------

CA          CE

5x       20

----  = --------

45       36

Using cross products

5x * 36 = 45* 20

180x = 900

Divide by 180

x = 900/180

x =5

Answer:

i think the answet is 0.625

Answer:  Rs 137.70

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

Explanation:

6 months = 1/2 year = 0.5 year

1 year, 6 months = 1 yr + 0.5 yr = 1.5 years

Sunayana borrows Rs 12,500 at 12% annual interest for 1.5 years

The amount simple interest she must pay back is

i = p*r*t

i = 12500*0.12*1.5

i = 2,250

The amount of simple interest she must pay back is Rs 2,250 which is on top of the principal Rs 12,500

The total amount she must pay back is p+i = 12,500+2,250 = 14,750

Let x = 14,750 so we can use it later.

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

She lends that Rs 12,500 to her friend and this amount is compounded half yearly, aka semiannually. So we'll use n = 2.

The amount Bishwant must pay back to her is

A = p*(1+r/n)^(n*t)

A = 12500*(1+0.12/2)^(2*1.5)

A = 14,887.70

Let y = 14,887.70 so we can use it later.

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

Subtract the values of y and x to get the profit she makes

profit = revenue - costs

profit = y - x

profit = 14,887.70 - 14,750

profit = 137.70

The profit is Rs 137.70

Step-by-step explanation:

what does this problem description really say ? what is the area of that square ?

36 ?

s3×6 ?

s³×6 ?

5³×6 ?

2³×6 ?

(5×3)×6 ?

(2×3)×6 ?

and these are just the options that I can see right away without really thinking about it.

in any case, the solution is to draw the square root of the area, and then multiply the result by 4.

why ?

because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².

therefore, sqrt(area) = sqrt(length²) = length.

and the perimeter of the square is the way all around the whole square (4 sides), which is then

length + length + length + length = 4×length

from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.

as the area would be in both cases 36.

sqrt(36) = 6

and the perimeter would be 6×4 = 24

Total boxes = 9

Total scarves in each box = s

ATQ

9s+(-9) = 36

9s -9 = 36

9s = 36+9

9s = 45

s = 45/9

s = 5

Value of s is 5

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Answer:

s = 5

Step-by-step explanation:

9* number of scarves in each box after removing 1 scarf = 36

9 *(s -1) = 36

9s - 9 =  36   {Distributive property}

9s = 36+ 9     {add 9 to both sides}

9s = 45

s= 45/9  {Divide both sides by 9}

s = 5