Given: AD || BC and AD ≅ BC

Prove: AB || CD

answer:

step by step explanation:

make all numbers the same decimal,fraction or percentage and then compare

3/8=37.5%

-2.8=20.8%

0.053=5.3%

-2.8%

ascending means from smallest to biggest so the answer would be 0.053

Answer:

[tex]1.159\%[/tex]

Step-by-step explanation:

Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].

Rate or R [tex]=10\%[/tex] per annum compounded annually.

Time or T [tex]=2[/tex] years.

To find: Percentage difference between compound interest of first year and second year.

Solution:

First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].

First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].

For the second year, the interest is compounded semi-annually.

So, time is doubled and the rate is halved.

Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].

Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].

Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].

Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].

Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].

Answer:

......................................................................

Answer:

72/100

Step-by-step explanation:

Answer:

(3). h = 4√6 units ; (5). x = 3√21 units

Step-by-step explanation:

(3). "h" is geometric mean

h² = 6 × 16 = 96

h = 4√6 units

(5). h = √(7 × 20) = √140 = 2√35

x² = 7² + 140 = 189

x = 3√21 units

Answer:

329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353

so take that and mutiply it by 17 then you will get 329

Step-by-step explanation:

Answer:

[tex]16^{2} (272)[/tex] is divisible by 17

Proof:

In order to solve this question we will have to factor  [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.

[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]

From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.

Answer:

reflected over the y axis

Answer:

Pi = 3.14159265359

Step-by-step explanation:

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

Answer:

(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation

Answer:

A. (1,4)

Step-by-step explanation:

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts?  Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

Answer:

(6,7)

x=6

y=7

Step-by-step explanation:

What you do is combine the two equations and solve for x

1/3x+5=5/3x-3

Add three to both sides and subtract 1/3x from both as well

This gives us

8=4/3x

Divide by 4/3 and get

x=6

Then plug x=6 into any of the equations and get

1/3*6+5

This gives us 7

Answer:

I'm the bad guy

Step-by-step explanation:

Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation:

Let, the length of the other diagonal be X

According to the Question:

We know that:

▶ Area of rhombus = ½ × d1 × d2

⇒ 16 = ½ × 4 × d2

⇒ d2 = 32/4

⇒ 8 cm

Hope it helps u!! ✿

Answer: [tex]\sqrt{\frac{A}{\pi } }[/tex] = r

Step-by-step explanation:

The goal in this problem is to isolate the single variable, r. The original equation is A = pir^2. The first step to attempt to get r on its own is to divide each side of the equation by pi.

A = pir^2

A/pi = pir^2/pi

A/pi = r^2

Next, find the square root of each side to get r on its own:

A/pi = r^2

sqrt(A/pi) = sqrt (r^2)

[tex]\sqrt{\frac{A}{\pi } }[/tex]  = r

Answer:

1.45

2. 135

Explanation:

1.  With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.

2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

Answer:

-1/3

Explanation:

Answer:

Ionk dis buhh i guess it's -1 sum damm i forgot

Step-by-step explanation:

Hope dis helps ighh

Answer:

The value of  x° = 134°

Step-by-step explanation:

Given the angles of a quadrilateral

We know that the sum of interior angles in a quadrilateral is 360°.

so

100° + 51° + 75° + x° = 360°

226° + x° = 360°

subtracting 226° from both sides

226° + x° - 226°  = 360° - 226°

x° = 134°

Therefore, the value of  x° = 134°

VERIFICATION:

100° + 51° + 75° + 134° = 360°

360°= 360°

Solution:

→ 100° + 51° + 75° + x = 360°

→ (100° + 51° + 75°) + x = 360°

→ 226° + x = 360°

→ x = 360° - 226°

→ [ x = 134° ]

Thus, the value of x is 134°.

Step-by-step explanation:

Every term that has another term preceding it is 4 more than the previous term.

The recursive formula is a(n) = a(n - 1) + 4.

Answer:

The answer is

[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]

Answer:

m = 2/3

Step-by-step explanation:

slope is equal to rise/run

rise = y2 - y1 = 7 - 1 = 6

run = x2 - x1 = 3 - (-6) = 9

simplify 6/9 = 2/3

Answer:

536

Step-by-step explanation:

4 paws on each cat, multiply by the amount of cats = 536

Answer: B: Sun.

Step-by-step explanation: Jupiter is the largest mass in our solar system, other than the sun. Everything else is too small.

The object in the solar system has a diameter that is about 10 times the diameter of Jupiter is B: Sun.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the diameter of Jupiter is about 10 times the diameter of the Earth.

We know that Jupiter is the largest mass in our solar system, other than the sun. other planets are too small.

Diameter of Jupiter = 1.43 x [tex]10^5[/tex]km

Diameter of Earth = 1.27 x 1[tex]0^4[/tex]km

Diameter of Jupiter = 10 (Diameter of Earth)

Ratio = Jupiter/Earth

Ratio =  1.43 x [tex]10^5[/tex]/1.27 x 1[tex]0^4[/tex]km

Ratio = 11.3

Since all the other planets are small; only the sun has the largest diameter than Jupiter.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ6

Answer:

the answer is a octagon that has rotation of 45degrees

Answer:

Attached is the graph. The x-intercept is -6, and the y-intercept is -6.

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Given:

Smaller rectangle

length = 5 cm

width = 2 cm

perimeter of smaller rectangle = 2(length + width)

= 2(5 + 2)

= 2(7)

= 14

Larger rectangle

length = 14 cm

width = 7 cm

perimeter of larger rectangle = 2(length + width)

= 2(14 + 7)

= 2(21)

= 42 cm

perimeter of new shape = perimeter of larger rectangle + 2 × 2

= 42 + 4

= 46 cm

Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Learn more about perimeter of a rectangle:

https://brainly.com/question/17297081

Answer:

x = 16

Step-by-step explanation:

71 - 15 = 56

56 ÷ 14 = 4

[tex]\sqrt{16}[/tex] = 4

Check work:

[tex]\sqrt{16}[/tex] = 4

14 x 4 = 56

56 + 15 = 71

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

Answer:

-84-12i

Step-by-step explanation:

The one you have is the answer :)