Point B is between points A and C. AB = 2x − 3, BC = 7x − 10, and AC = 32

Answer:

x = 18

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{80}{80+2x}[/tex] = [tex]\frac{60}{60+27}[/tex] = [tex]\frac{60}{87}[/tex] ( cross- multiply )

60(80 + 2x) = 6960 ← divide both sides by 60

80 + 2x = 116 ( subtract 80 from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

Answer:

Step-by-step explanation:

Use Pythagorean theorem to calculate:

Same method for FA, the diagonal of rectangle ABFE

Answer:

Equation:     y = 1/5x - 2

Slope (m):    1/5

The graph of the line equation y = 1/5x - 2 is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the ordered pairs

Finding the slope between the points (5, -1) and (-5, -3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-3\right)[/tex]

[tex]m=\frac{-3-\left(-1\right)}{-5-5}[/tex]

Refine

[tex]m=\frac{1}{5}[/tex]

Thus, the slope (m) = 1/5

Also given that the y-intercept b = -2

Now, substituting m = 1/5 and y-intercept b = -2 in the slope-intercept form

y = mx+b

y = 1/5x + (-2)

y = 1/5x - 2

Therefore, the equation of the line is:

The graph of the line equation y = 1/5x - 2 is also attached below.

Answer:

A=A(base)+A(lateral)

Step-by-step explanation:

A=A(base)+A(lateral)

A=pi*3^2+2*pi*3*8=179.07

Answer:

original price =45

change in price=45-17= 28

precentage decrease = original price/change in price x 100

= 28 /45x 100

= 62.22%

Answer:

1040

Step-by-step explanation:

(10+4)×(20+6)=14×26

Answer:

x=-5

Step-by-step explanation

The first box has eight x's and six 1's which means that it would be written as 8x+6

The second box has four x's and fourteen -1's which means that it would be written as 4x-14

You set them equal to one another

8x+6=4x-14

You subtract 4x from both sides

4x+6=-14

Subtract 6 on both sides

4x=-20

Divide 4 on both sides

x=-5

Hope it helps :))

What do you mean?

(sides - 2) x 180, for the sum of the interior angle

sum of interior/ sides, for the interior angle

Answer:

.2

Step-by-step explanation:

Answer:

.20

Step-by-step explanation:

1 divided by 5 is .20

Answer:

Step-by-step explanation:

To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.

10y = 5y + 14

First, we need to get all the variables on one side of the equation, so we subtract 5y.

5y = 14

Divide by 5

y = 14/5 or 2 4/5 or 2.8

Now for the x part.

2x = x + 14

Subtract 1x

x = 14

Now we check our answer.

2(14) = 5(2.8) + 14

28 = 14 + 14

28 = 28

Because 28 equals 28, our solutions are correct.

Step-by-step explanation:

just going tell u to use math

way

Answer:   B

Step-by-step explanation:

-4x + 2y = 6    add 4x to both sides

+4x           +4x

 2y = 4x + 6   Divide both sides by 2

 y = 2x + 3

Answer:

17

Step-by-step explanation:

Answer:

The answer is 17

Answer:

$45

Step-by-step explanation:

let's work backwards. We know that it was 20% off, or otherwise 80% of the original cost. Let's represent the original cost with x:

0.8x = 36

Now we solve for x by dividing both sides by 0.8:

x = 45

Thus, the sweater was originally $45

Answer:

i hope i helped i wasnt sure how to answer

Step-by-step explanation:

Answer:

Hey:D

Step-by-step explanation:

w=5_4    5 ontop 4 in the bottom

Answer:

w=5/4

Step-by-step explanation:

Answer:

-5.3

Step-by-step explanation:

I'm not really sure if thats the answer but i try

Answer:

5.33333333333

Answer: this is hard I hate math sorry

Step-by-step explanation:

:(

Answer:

m,

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

f(x)=7x

then x=0.75

7x0.75=5.25

so f(x) or fx = 5.25

Answer:

3.5

Step-by-step explanation:

The constant rate of proportionality, k, is expressed as [tex]k = \frac{y}{x}[/tex], and shows that two quantities are proportional to each other. In this logic, rearranging this in terms of y gives us:

[tex]y = kx[/tex]

Thus we can determine that k is 3.5, in this case.

Answer:

[tex]A = 15[/tex]   [tex]B = 20[/tex]   [tex]C = 25[/tex]

[tex]D = 30[/tex]   [tex]E = 40[/tex]   [tex]F = 50[/tex]

[tex]D = 3[/tex]    [tex]E = 4[/tex]     [tex]F = 5[/tex]

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

[tex]A = 15[/tex]

[tex]B = 20[/tex]

[tex]C = 25[/tex]

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

[tex]D = A * n[/tex]    [tex]E = B * n[/tex]     [tex]F = C * n[/tex]

Where

[tex]n = Scale\ Factor[/tex]

Assume n = 2.

So, we have:

[tex]D = A * n[/tex]    

[tex]D =15 *2[/tex]

[tex]D = 30[/tex]

[tex]E = B * n[/tex]    

[tex]E = 20 * 2[/tex]

[tex]E = 40[/tex]

[tex]F = C * n[/tex]

[tex]F = 25 * 2[/tex]

[tex]F = 50[/tex]

Assume [tex]n = \frac{1}{5}.[/tex]

So, we have:

[tex]D = A * n[/tex]    

[tex]D =15 *\frac{1}{5}[/tex]

[tex]D = 3[/tex]

[tex]E = B * n[/tex]    

[tex]E = 20 * \frac{1}{5}[/tex]

[tex]E = 4[/tex]

[tex]F = C * n[/tex]

[tex]F = 25 * \frac{1}{5}[/tex]

[tex]F = 5[/tex]

So, the possible sides are:

[tex]A = 15[/tex]   [tex]B = 20[/tex]   [tex]C = 25[/tex]

[tex]D = 30[/tex]   [tex]E = 40[/tex]   [tex]F = 50[/tex]

[tex]D = 3[/tex]    [tex]E = 4[/tex]     [tex]F = 5[/tex]

Answer:

We can form an isosceles triangle by using the given measures.

Step-by-step explanation:

Hope this helps!! :)

Answer: My answer would be 7.6

Step-by-step explanation: Hope this is correct.

Answer:

S...

Step-by-step explanation:

Because letter S is the last letter

Answer:

The correct option is C. 47.10 inches

Step-by-step explanation:

Diameter of the tire rim is given to be 15 inches

So, The radius of the tire rim will be 7.5 inches

Now, we need to find the circumference of the tire rim

And, The circumference of the tire rim is given by the formula :

Circumference = 2·π × radius

⇒ Circumference of the tire rim = 2 × 3.14 × 7.5

⇒ Circumference of the tire rim = 47.1 inches

Therefore, The correct option is C. 47.10 inches

Answer:

The answer is 173.22

Step-by-step explanation: