Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Answer:

.

Step-by-step explanation:

Answer:

she spends 50% of her budget on her car

Step-by-step explanation:

300 is half of 600. I hope this helps :)

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Answer:

i think its c

Step-by-step explanation:

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10

Answer:

310

Step-by-step explanation:

62 multiplied by 5 will get you the answer

Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

Answer:

A :10.5 is the answer

Step-by-step explanation:

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

Answer:

Height if the tree: 13.8 meters

Answer:

Height of the tree: 13.8 meters

Answer:

Its the yellow area

Step-by-step explanation:

Answer: x ≤ 5

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

7(15-4)

7(9)

63

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

Answer:

Your answer would be a= 44

Step-by-step explanation:

44+4=48

To check: 48-4=44

Therefore, your answer is 44

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

"It is a line that passes through two lines in the same plane at two different points."

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

https://brainly.com/question/15464186

#SPJ2

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Answer:

2

Step-by-step explanation:

9x-7 = 7x-3

9x-7x = 2x

2x -7 = -3

   +7   +7

2x=4

x=2

the second one is correct