If two polygons are similar, must they also be congruent?

Answer:

-2, -1/2

Step-by-step explanation:

Step-by-step explanation:

The midpoint of a line segment between two points is given by

[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

where ( x1 , y1) and ( x2 , y2) are the points

From the question

The midpoint of the line segment using points (-5,2) and (1, -3) is

[tex]M = ( \frac{ - 5 + 1}{2} , \frac{2 - 3}{2} )[/tex]

[tex]M = ( - \frac{ 4}{2} , - \frac{1}{2} )[/tex]

We have the final answer as

[tex]M = ( - 2, - \frac{1}{2} )[/tex]

Hope this helps you

Answer:

Amount after 8 month (A) = $3775 (Approx)

Step-by-step explanation:

Given:

Amount invested (P) = $3,700

Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly

Number of month (n) = 8 month

Find:

Amount after 8 month (A)

Computation:

[tex]A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676[/tex]

Amount after 8 month (A) = $3775 (Approx)

Answer:

tan(π−2/5)

decimal form -0.42

Answer:

-0.42

Step-by-step explanation:

Answer:

[tex]\boxed{ 8 + x}[/tex]

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

Answer:

x + 8 is the meaning.

Step-by-step explanation:

“more” means addition. Take the number as “x”, so it will be x + 8.

That's the answer.

Answer:

8

Step-by-step explanation:

The there smallest consecutive odd numbers are 1,3 and 5

Therefore the smallest possible perimeter of such triangle = 8

Answer:

Step-by-step explanation:

The formula we need for this is

4(4 + x) = 5(5 + 3) and

16 + 4x = 5(8) and

16 + 4x = 40 and

4x = 24 so

x = 6, choice C.

Answer:

Here's what I get  

Step-by-step explanation:

a. Net of a cube

Fig. 1 is the net of a cube  

b. Does the formula work?

Tony's formula works if you ignore dimensions.

There are six squares in the net of a cube.

If each side has a unit length s, the total area of the cube is 6s.

c. Will the formula work for any rectangular prism?

No, because a rectangular prism has sides of three different lengths — l, w, and h — as in Fig. 2.

d. Area of a rectangular prism

A rectangular prism has six faces.

A top (T) and a bottom (b) — A = 2×l×w

A left (L) and a right (R)    —   A = 2×l×h

A front (F) and a back (B) —   A = 2×w×h

                                  Total area = 2lw + 2lh + 2wh

If l = 5 m, w = 6 m and h = 8 m,

[tex]\begin{array}{rl}A &=& \text{2$\times$ 5 m $\times$ 6 m + 2$\times$ 5 m $\times$ 8 m + 2 $\times$ 6 m $\times$ 8 m}\\&=& \text{60 m}^{2} + \text{80 m}^{2} + \text{96 m}^{2}\\&=& \textbf{236 m}^{2}\\\end{array}[/tex]

Answer:

Loudness (L) = 6.48 dB

Step-by-step explanation:

Given:

Loudness (L) = k / d² , where k = constant

So,

70 = k / 14²

k = 13,720

New distance = 46 feet

Find:

Loudness (L) = ?

Computation:

Loudness (L) = 13,720 / 46²

Loudness (L) = 13,720 / 2,116

Loudness (L) = 6.48 dB

Answer:

7 * 4 / 2 = 28/2 = 14

Step-by-step explanation:

You are timed. I will just give you the formula where its multiplying the Diagonals and dividing by 2.

x= -4 w= 1 z= -3 y= 5

This is the answer!

Question

In circle L, arc MNOP is 120° and the radius is 5 units. Which statement best describes the length of arc MNOP?

• one half the area of circle L

• one third the area of circle L

• one half the circumference of circle L • one third the circumference of circle L

Answer:

• one third the circumference of circle L

Step-by-step explanation:

In the question, we are told that:

In circle L, arc MNOP is 120° and the radius is 5 units.

We are asked to find the statement amongst the options that describes the arc length MNOP of Circle L

Step 1

Find the Area of circle

Area of a circle = πr²

r = 5 units

Area of a circle = π × 5²

Area of a circle = π × 25

Area of a circle = 78.53981634 square units

Step 2

Find the arc length of a circle

Arc length = 2πr × θ /360

r = 5 units

θ = 120°

Arc length = 2 × π × r × 120/360

Arc length = 2 × π × r × (1/3)

Arc length = 2 × π × 5 × (1/3)

Arc length = 10.47198 units

Step 3

Circumference of a circle = 2πr

= 2 × π × 5

= 31.415926536 units

Since the Circumference of a circle = 2πr

Arc length of the circle for the above calculation, = 2πr × 1/3

Therefore, the statement that best describes the arc length MNOP of Circle L is:

" the arc length MNOP is one third the circumference of circle L"

Answer:

the arc length MNOP is one third the circumference of circle L

Step-by-step explanation:

i fishie yupo

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

[tex]\Large \boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

[tex]\angle QUR \cong \angle TUS[/tex]

The vertical angles are congruent.

[tex]\angle R \cong \angle S[/tex]

The alternate interior angles are congruent.

Answer:

At x intercept, x = 0

2.8(0)+5.7y+5.8=0

y=-5.8/5.7

=-1.02

At y intercept, y=0

2.8x+5.7(0)+5.8=0

x=-5.8/2.8

=-2.07

Answer:

X ans y intercepts are

xintercept (s) : (-2.0,0) you can roud if necessary

y intercept(s) : (0,-1.01754385) you can round if nessecary

Step-by-step explanation:

to find the [tex]x[/tex] and [tex]y[/tex] intercepts simply plug in [tex]o[/tex] to replace [tex]x[/tex] then when you solve for [tex]x[/tex] plug in [tex]x[/tex]to solve for [tex]y[/tex]

Answer:

225.78 grams

Step-by-step explanation:

To solve this question, we would be using the formula

P(t) = Po × 2^t/n

Where P(t) = Remaining amount after r hours

Po = Initial amount

t = Time

In the question,

Where P(t) = Remaining amount after r hours = unknown

Po = Initial amount = 537

t = Time = 10 days

P(t) = 537 × 2^(10/)

P(t) = 225.78 grams

Therefore, the amount of iodine-131 left after 10 days = 225.78 grams

Answer:

The answer is 1/3

Answer:

1/3

Step-by-step explanation:

The factors of 5 are 1,5;

* The factors of 15 are 1,3,5,15.

We can see that the GCD is 5 because it is the largest number by which 5 y 15 can be divided without leaving any residue.

To reduce this fraction, simply divide the numerator and denominator by 5 (the GCF).

So, 5 /15

= 5÷5 /15÷5

= 1 /3

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]

We have the final answer as

Hope this helps you

3×4·20 equals to 12.6 please thats youre awnser

Answer:

The ratios are equivalent.  

The ratios are a proportion.

Step-by-step explanation:

Answer:

1/2 cup

Step-by-step explanation:

We can use ratios to solve

2 cups              x cups

---------------   = ----------------

100 cookies        25 cookies

Using cross products

2 *25 = 100x

50 = 100x

Divide by 100

50/100 = x

1/2 = x

Answer:

$11286.95 second year

$10335 first year

Step-by-step explanation:

9% of 9500 is 855, 9500 plus 855 = 10335. (first year)

9% of 10335 is 931.95, and 10335+931.95 is 11286.95. (second year)

The amount in the account at the end of 1 year  $10335 (first year)

The amount in the account at the end of 2 years $11286.95.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

here, we have,

$9500 is placed in an account that pays 9% interest compounded each year.

so, we get,

9% of 9500 is 855,

9500 plus 855 = 10335. (first year)

again,

9% of 10335 is 931.95,

and 10335+931.95 is 11286.95. (second year)

Hence, The amount in the account at the end of 1 year  $10335 (first year)

The amount in the account at the end of 2 years $11286.95.

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Answer:

  -25, 25

Step-by-step explanation:

Since the numbers have the same absolute value and the sum of their absolute values is 50, they both must have an absolute value of 50/2 = 25.

Unique numbers with the same absolute value will have opposite signs.

The numbers are -25 and 25.

Answer:

20boys and 15girls

Step-by-step explanation:

Let no of boys be 4x

no of girls be 3x

4x+3x=35

7x=35

x=35/7

x=5

no of boys=4×5=20

no of girls=3×5=15

20+15=35 students

Answer:

3/8 is your answer.

Step-by-step explanation:

Given:

8 kids bought a 3 cakes.

Required:

How many equal parts will need to divide it so that everyone can have it.

Solution:

3/8

Hope this helps ;) ❤❤❤

Answer:

100 -6 = 94

94 - 6 = 88

88 - 6 = 82

82 - 6 = 76

76 - 6 = 70      We can then show and prove 70 -> 64.

                                                                          64 -> 58

                                                                          58 -> 52

                                                                          52 -> 46

                                                                          46 -> 40

As numbers that end in 0, decrease to units that end in 4,8,2,6,and back to zero.

= all numbers that end with 0 have numbers that end in 4,8,2,6,0 when subtracting 6.

As 6 x 10 = 60 and 60 +40 = 100

We cna prove 4+8+2+6  = 20

20+20 = 40 and would continue this pattern to get to 10 we can then see the sequence of how 30/6 and proves each 5 number coordinate being 4,8,2,6,0 until we get to 10.

We then find 4,-2,-8,-14,and-20 it skips out  2 and 6 here on the neutral line but then starts and changes the sequence end numbers to -26 -32, -38,-44 and -50. This proves that-2 and -8 has significance and shows us a real sum that on negative -2 -8 = 6

The inverse of the 40 marker in the positive shows us 60

and 60 -50 = 10 being our 2nd positive closest to zero.

These were repeated twice and show 40 deducted and a further 18 as 0 counts for 2 subtractions 100-6  70-6 just like 94 +6 = 100 and like 70+6 = 76 and 40+6 = 46

3 x 6 = 18

40+ 18 = 58

100-58 = 42 and shows us a reflection again with 4 and 2

not just 4+2 = 6 it shows is 4/2 = 2  42/2 = 21 and 7 being a divider represents the first sequence group of 10 from 100 being 70 and just as significant in a decrease of 6 in relation to 100.

100-70 = 30

30-6 = 24

24 / 6 = 4

and we mark 4 as our first unit with relation to 100 and its decrease of 6 in sequence.

This may help you remember that 30 x 100 = 3000 and would be increasing by 6 x 180 times. But when we decrease from here we find 2400 a likely number as 3000-600 - 2400

This may help you remember that 400/6 = 66.6666666667 and why decrease always ends up as negative when 400 x 6 = 2400 and is a much more dividable number. and that 400 is not dividable by 6 in the first place, and may be linked to why a neutral zero number may show 4 and 10 and -2 and -8 where all these numbers divide into 400 6 just doesn't work in any even hundred number below 1200 except for 600 as we know and recall 6 divides into 30 and 18 but not into 40, just counts back to inverse 40 from 100 as its counting 2 x 30 = 60. It does divide into 2400 and that is a midway point back down to 1800 from 3000. So this may help you remember divisors of larger numbers.

Answer:

a = 2b/3−1/3

Step-by-step explanation:

...........

Step-by-step explanation:

Hey, there!!

As it is a parallelogram, remember basic properties of parallelogram,

Now, lets solve your question.

b = (7×10)°

Therefore, b= 70°.

now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.

or, 3x= 180°-80°

or, x= 100°/3

Therefore, x= 33° { rounding off we get 33}.

w+ b =180°

w+70°=180° { coointerior angles are equal}.

Therefore, w =110°

Hope it helps....

Answer:

Step-by-step explanation:

In order to find the value of x we use sine

sin ∅ = opposite / hypotenuse

From the question

x is the hypotenuse

the opposite is 19

So we have

sin 20 = 19/x

x = 19/sin 20

x = 55.55

We have the final answer as

Hope this helps you

Answer:

x = 55.6

Step-by-step explanation:

Answer:

4.61 m

Step-by-step explanation:

The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building

Using trig ratios

tan48° = H/d where H = height of taller building and d = their distance apart = 12 m

H = dtan48° = 12tan48° = 13.33 m

Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°

Using trig ratios

tan36° = h/d where h = height of shorter building

h =dtan36° = 12tan36° = 8.72 m

Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m

Answer:

  −13.8654599313 and 0.8654599313

Step-by-step explanation:

The two numbers of interest will be the solutions to ...

  xy = -12

  x +y = -13

Substituting for y, this becomes the quadratic ...

  x(-13 -x) = -12

  x^2 +13x = 12 . . . . . multiply by -1

  x^2 +13x +6.5^2 = 12 +6.5^2 . . . . . complete the square

  (x +6.5)^2 = 54.25

  x = -6.5 ± √54.25 . . . . . . take the square root, subtract 6.5

  x ≈ -13.865499313 or 0.8654599313

The value of y is the other of these two numbers. So, the two numbers of interest are {-13.865499313, 0.8654599313}.

Answer: the boy won 10 games

Step-by-step explanation:

Let's call B as the number of games won by the boy, and F as the number of games won by the father.

We know that, there is a total of 26 games:

B + F = 26.

We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:

B*8 + F*(-5) = 0.

Then we have a system of equations:

B + F = 26

8*B - 5*F = 0.

The first step is isolating one of the variables. Let's start isolating F in the first equation:

B + F = 26

F = 26 - B.

Now we can replace this in the second equation:

8*B - 5*F = 0

8*B - 5*(26 - B) = 0

8*B + 5*B - 5*26 = 0

13*B = 5*26

B = 5*26/13 = 5*2 = 10

So the boy won 10 games (then the father won the other 16 games)

Answer:

B.

Step-by-step explanation:

All the possible outcomes are listed on choice B.

The event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have three coins.

As we know, in a coin there are two sides head and a tail.

If we flip three coins then the set of all the possible outcomes:

O = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

The set of outcomes has more tails than heads.

E = {ttt, tth, tht, htt}

We can find the probability, the probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Probability = 4/8 = 1/2

Thus, the event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.

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