During a​ sale, a dress is marked down from a selling price of ​$68 to a sale price of ​$44.20. What is the percent​ markdown?

Answer:

5a. ΔGKM ~ ΔSPM by SAS

b. ΔABC is not similar to ΔDEF

6. The missing side is 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5a. Yes, the triangles are similar.

<KMG ≅ <PMS (vertically opposite angles)

      ΔGKM ~ ΔSPM by SAS

Ratio: GM:SM OR KM:PM

             3:6    OR  2:4

             1:2     OR  1:2

Ratio: 1:2

b. No, the triangles are not similar

   ΔABC is not similar to ΔDEF

Ratio: AC:DF OR AB:DE

         4:6       OR  2:4.5

         1:1.5      ≠     1:2.25

   Ratio: not similar

6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/12/^{2}[/tex] = [tex]x^{2}[/tex] + [tex]/10/^{2}[/tex]

144 = [tex]x^{2}[/tex] + 100

[tex]x^{2}[/tex] = 144 - 100

   = 44

x = [tex]\sqrt{44}[/tex]

  = [tex]\sqrt{4 *11}[/tex]

  = 2[tex]\sqrt{11}[/tex]

x = 2[tex]\sqrt{11}[/tex]

The missing side is 2[tex]\sqrt{11}[/tex].

The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if

f(x) = x⁴ + p x³ + q x² + r x + 6

is divisible by x - 1, x - 2, and x - 3, then we have

f (1) = 7 + p + q + r = 0

f (2) = 22 + 8p + 4q + 2r = 0

f (3) = 87 + 27p + 9q + 3r = 0

Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:

p + q + r = -7

8p + 4q + 2r = -22   →   6p + 2q - 14 = -22   →   3p + q = -4

27p + 9q + 3r = -87   →   24p + 6q - 21 = -87   →   4p + q = -11

Eliminate q by adding (-1) times the first equation to the second one, then solve for p :

- (3p + q) + (4p + q) = - (-4) + (-11)

-3p - q + 4p + q = 4 - 11

p = -7

Solve for q :

3p + q = -4   →   3 (-7) + q = -4   →   q = 17

Solve for r :

p + q + r = -7   →   -7 + 17 + r = -7   →   r = -17

Answer:

2 most likely

Step-by-step explanation:

9514 1404 393

Answer:

  68 km

Step-by-step explanation:

Actual distance (d) will be proportional to the map distance.

  d/8.5 = 36 km/4.5

  d = (36 km)(8.5/4.5) = 68 km

The actual distance is 68 kilometers.

Answer:

21

Step-by-step explanation:

Let x be the amount of ticket for each game

Given

The expression 8x + 62 represents the total cost of the football game

The total coat for the.game will be

8(7)+62

= 56+62

= 118

If 9x + 34 represents the total cost of the baseball game. The total coat will be;

9(7)+34

= 63+34

=97

To know how much more football game costs, we will take the difference in their cost.

Difference = 118-97

Difference= 21

Hence football game costs 21 more than baseball

Answer:

sorry i wish i could help but i can't understand that

Step-by-step explanation:

Answer:

y=-3x+1

Step-by-step explanation:

your welcome

Answer:

[tex]x < 80000[/tex]

Step-by-step explanation:

[tex]3600 + 1.02x < 2000 + 1.04x \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x < \: \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x}{3600 - 0.02x < 2000} \\ \\ 3600 - 0.02x < 2000 \\ \frac{ - 3600 \: \: \: \: \: \: \: \: \: < - 3600}{ - 0.02x < - 1600} \\ \\ \frac{ - 0.02x}{ - 0.02} < \frac{ - 1600}{ - 0.02} \\ \\ x < 80000[/tex]

Answer:

6 * 42 = 6 * (20 + 22)

= (6 * 20) + (6 * 22) = 120 + 132 = 252

Step-by-step explanation:

Here, we want to multiply 6 by 42 using distributive property

In this case, we can have the distributive property as;

a * ( b + c) = ab + bc

Thus, we can represent 42 as (20 + 22)

so 6 * 42 becomes 6 * (20 + 22)

Using the distributive property, we have

(6 * 20) + (6 * 22)

= 120 + 132 = 252

Answer: h(g(x))= 2/6x-7

Step-by-step explanation:

1.h(g(x))= 2/(g(x))+3

2.g(x)= 3x-5

h(g(x))= 2/2(3x-5)+3

=2/6x-10+3

=2/6x-7

Answer:

2,4

Step-by-step explanation:

(2,3)

(2,5)

(5,8)

Answer:

25 yards

Step-by-step explanation:

Subtract 15 from 40.

Hope this helped :)

Answer:

25 yards

Step-by-step explanation:

Arithmetics

Imagine a straight line divided into 1-yard marks.

Danny runs for 40 marks and locates at mark 40.

He later loses 15 yards and his new position is 40 - 15 = 25 yards

Therefore, the end result is that Danny is at the 25-yard mark.

Answer:

[tex] \frac{6x - 6x^{2} }{x - 2} [/tex]

Step-by-step explanation:

[tex] \frac{4x + 2x - 6x^{2} }{x - 2} [/tex]

[tex] \frac{6x - 6x^{2} }{x - 2} [/tex]

Answer

59.5

Step-by-step explanation:

This is what I think!

Answer:

15 and 8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: Original expression:  2x - 11 + 4x + 7 + 3(x-4)

Simplified: 9x - 16

Step-by-step explanation:

2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12

Group like terms, then combine to simplify:

2x + 4x + 3x -11 + 7 - 12

2x + 4x + 3x = 9x  

-11 -12 + 7 = =23+7= -16

Simplified expression: 9x  - 16

Answer:

You treat it as 10^4 (the small number is the number of zeros. Therefore the answer is 10000. Or of you meant 10^-4. Its the same concept, just reversed. So the answer in this case is 0.0004.

Cheers! :)

10 to the power of 4 is equal to 10,000.

To calculate 10 to the power of 4 as a decimal, you need to raise the base number (10) to the exponent (4).

Here are the steps to compute it:

Step 1: Start with the base number, which is 10.

Step 2: Multiply the base number (10) by itself 4 times, since the exponent is 4. The calculation looks like this:

10 x 10 x 10 x 10 = 10,000

Step 3: The result of multiplying 10 by itself 4 times is 10,000.

So, 10 to the power of 4 (10⁴) is equal to 10,000.

Hence 10 to the power of 4 is equal to 10,000.

Learn more about exponent and powers click;

https://brainly.com/question/28515493

#SPJ6

Answer:

A. I

B.R

C.R

D.R

E.I

Step-by-step explanation:

I= Irrational

R=Rational

Answer:

1) irrational

2) rational

3) rational

4) rational

5) irrational

Step-by-step explanation:

hope this helps!

if its right, plz mark me brainliest!

Answer:

18

Step-by-step explanation:

The centroid divides the median into 2 parts from the vertex to one point to the opposite side of the vertex where the median starts.

Put into simpler language. HB is twice as long as HF

If Hf is 6 then HB is 12. BF is the total length of both or 6 + 12 = 18

Answer:

16 ft²

Step-by-step explanation:

The complete question is attached.

A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.

The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.

Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:

The area of a trapezoid = [(3 + 5)/2] * 4

The area of a trapezoid = 16 ft²

Answer:

Step-by-step explanation:

16

Answer:

anybody agree that its c

Step-by-step explanation:

Answer:

The answer is A x can not have two of the same numbers

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

HI I AM BORED

Step-by-step explanation:

Answer: Hi! 15/32, I think!

Answer:

15/32

Step-by-step explanation:

Answer:

The student will have $145

Step-by-step explanation:

The student would already have $100 and if you take 15 times the number of weeks, 3 weeks. 15 times 3 is $45. $100 + $45 = $145

Answer:

D. $145

Step-by-step explanation:

In order to find out the answer to the equation 100 + 15w = ? we have to multiply 15 by the 3 weeks the student has saved up 15 dollars to get the total money they have saved by saving 15 dollars per week:

15 * 3 = 45

we then add the 100 dollars that was already saved up to 45

100 + 45 = $145

So after 3 weeks $145 have been saved up

Hope this helps!!!