A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is represented by x - 3. What is the value of x?

Answer:

4:24pm

Step-by-step explanation:

To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.

To do this we can either list all the prime factors of each one and multiply the non-common ones:

6 = 2x3

8 = 2x2x2

2x2x3 = 24

OR we can list the multiples and find the lowest matching ones:

6 => 6, 12, 18, 24, 30

8 => 8, 16, 24, 32, 40

We can see that 24 is the least common factor.

This means that both busses will leave at the same time 24 minutes after 4pm.

Therefore the next time a red line and blue line bus will leave together is 4:24pm.

Hope this helped!

Answer:

You need to attach a picture

Step-by-step explanation:

Answer:

256 i did it before

Step-by-step explanation:

In feet the car will travel 162,000 ft. In miles it will be 30.7 rounded original is 30.68 miles. I hope this helps.

Answer:

item total cost: 4.19

Answer:

3:6

3x2=6

Scale factor = 2

Step-by-step explanation:

Answer:

B...?

Step-by-step explanation:

Either B or D so use your skills to find out ;)

Answer:

The volleyball team's variability is greater because the range is greater! :)

Answer:

first answer your correct

Step-by-step explanation:

So basically the basketball team and the volleyball team are different because the basketball team has more people on it. The height difference is greater for basketball team.

Answer:

1/6 or 6/36

Step-by-step explanation:

Given the qualifications, there are six qualifying combinations out of the 36 combinations, which simplified, is 1 out of 6.

Answer:

The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.

Step-by-step explanation:

Sophie filled a bag with 2 2/3 kilograms of candy.

This means that the total weight is of:

[tex]2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}[/tex]

The total weight is of 8/3 kilograms.

1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?

1/4 of 8/3. So

[tex]\frac{1}{4} \times \frac{8}{3} = \frac{1*8}{4*3} = \frac{2}{3} = 0.6667[/tex]

The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.

Answer:

casidy from fanf ?!?!

Step-by-step explanation:

Answer:

Hey there!

I belive the answer is 17952 ft

which if you multiply 3.4 miles x 5280 is equal to 17952 ft.

Hope this can help! Please correct me if im wrong!

Answer: 8 x 2 = s + 4

9514 1404 393

Answer:

  (x, y) = (31/37, 2 36/37) ≈ (0.8378, 2.9730)

Step-by-step explanation:

There are several ways we can go at this.

Method 1

Find the point of intersection with the perpendicular line through (-5, 2).

The perpendicular line will have the x- and y-coefficients swapped, one of them negated, and a new constant consistent with the given point.

  x -6y = (-5) -6(2) = -17

So, we're looking for the solution of the system of equations ...

Using Cramer's Rule, we can find the solution to be ...

  x = ((1)(-17) -(-6)(8))/((1)(1) -(-6)(6)) = 31/37 ≈ 0.837_837*

  y = ((8)(1)-(-17)(6))/37 = 110/37 ≈ 2.972_972

The closest point is (x, y) = (31/37, 2 36/37).

__

Method 2

We can write the given line in parametric form, then find the point on it such that the direction along the line is perpendicular to the direction to the given point.

Solving the given equation for y, we have ...

  y = 8 -6x

So, the parametric form of the given line can be written as ...

  (x, y) = (0, 8) +t(1, -6) . . . . for some parameter t

The direction to the given point from (x, y) is then ...

  (-5, 2) -(x, y) = (-5, 2) -((0, 8) +t(1, -6)) = (-5-0-t, 2-8+6t) = (-t-5, 6t-6)

The dot-product of this direction vector with the direction vector of the original line will be zero for the value of the parameter at the closest point.

  (1, -6) · (-t-5, 6t-6) = 0 = (1)(-t -5) +(-6)(6t -6)

  0 = -t -5 -36t +36 = -37t +31

  31/37 = t

So, filling this value into the parametric equation gives the closest point as ...

  (0, 8) +(31/37)(1, -6) = (31/37, 2 36/37) = (x, y)

__

Method 3

Find the point of tangency of the given line with a circle centered at (-5, 2).

The equation of a circle centered at (-5, 2) is ...

  (x +5)^2 +(y -2)^2 = r^2

The given line will meet the circle at a point that satisfies this equation and the equation of the circle. Writing an expression for y using the given line, we can substitute into the circle equation to get ...

  (x +5)^ +((8 -6x) -2)^2 = r^2

  x^2 +10x +25 +36 -72x +36x^2 = r^2

  37x^2 -62x + (some constant) = 0

This will have one solution when the constant is chosen to make the left-side expression a perfect square. That perfect square will be ...

  37(x -31/37)^2 = 0

which is to say the tangent point of the line and the circle will have x-coordinate x = 31/37. The y-coordinate is 8 -6(31/37) = 2 36/37.

The closest point is (x, y) = (31/37, 2 36/37).

_____

* repeated decimal fractions are signified in typeset text with an overbar over the repeating digits. In plain text, we sometimes use a preceding underscore to identify the repeating digits.

Answer:

B

Step-by-step explanation:

Football has the highest number of votes in the chart.

Answer:

Step-by-step explanation:

[tex]\sqrt{12^{2}+6^{2} } = \sqrt{144 + 36} = \sqrt{180} = \sqrt{36*5}= 6\sqrt{5} = 13.4[/tex]

answer is A

Answer: m=6

Step-by-step explanation:

Divide both sides by 3.4

3.4m/3.4 and 20.4/3.4

Answer:

1) slope 3/2, y-intercept 7/2

2y-3x=7

2) slope 1/5, y-intercept 3

5y-x=15

3) slope 1/5, y-intercept 4/5

-x+5y=4

4) slope 5/2, y-intercept 7/2

2y=5x+7

Step by step explanation:

1) 2y-3x=7

2y=3x+7

y=3/2y+7/2

2)5y-x=15

5y=x+15

y=1/5x+3

3)-x+5y=4

5y=x+4

y=1/5x+4/5

4)2y=5x+7

y=5/2x+7/2

5/12

we use pythag to find the missing side length

hope this helps :D

Answer:

I don't have a picture but since it is a rhombus, I'll give it my best shot.

IF those two angles are across from each other, they are equal, then:

2x+4 = 5x-5

add 5 to each side of the equation:

2x+9 = 5x

subtract 2x from each side:

3x = 9

divide both sides by 3:

x = 3

IF those two angles are adjacent, their sum is 180°, then:

2x+4 + 5x-5 = 180°

combine like terms:

7x - 1 = 180

add 1 to each side of the equation:

7x = 181

divide both sides by 7:

x = 25.86

Answer:

put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.  

Step-by-step explanation:

done.

Answer:

750 were Farm Mechanics.

Step-by-step explanation:

30% of 2500 is 750.

Hope this helps

Answer:

the answer is 16x2 - 16

Step-by-step explanation:

:)))

Answer:

86,405 cm³

Step-by-step explanation:

V = cross-sectional area × height = πr²h = 3.142 × 5² × 1100cm

= 86,405 cm³

Answer:

863.9 m³

Step-by-step explanation:

Cylinder volume is V = πr²h.  Here the height, h, is 11 m and the radius, r, is 5 m.  Thus we have:

V = π(5 m)²(11 m), or

V = π(275) m³, or approximately 863.9 m³

Answer:

8730

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Eight hundred two thousand and forty-nine

Answer:

Its upside down. Cant see what it says

Step-by-step explanation: