Is it a function or not a function?

A proportion which solves for the distance between D and E is: 9/6 = 15/x.

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding sides are equal and their corresponding angles are in congruence.

By applying the properties of similar triangles, we have this expression:

AB/DE = BC/CD

Substituting the given parameters into the expression, we have;

9/6 = 15/x.

Read more on similar triangles here: https://brainly.com/question/7411945

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Answer:

Step-by-step explanation:

you only need the rate of change and the y intercept.

Answer:

Step-by-step explanation:

That is a horizontal reflection about the vertical line x=2.

Answer:

the answer is B. reflection over y = 4

Step-by-step explanation:

Answer:

80 percent

20 for the first shaded multiply with 4 and its 80

Answer:

x = 5

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

(180 - 18x + 5) + (-1 + 8x) + 46 = 180

⇒ 180 - 18x + 5 - 1 + 8x + 46 = 180

⇒ -10x + 230 = 180

⇒ -10x = -50

⇒ x = 5

Answer:

6 and -6

|6|=6

|-6|=6

Answer:

c

Step-by-step explanation:

Answer:

1.71

Step-by-step explanation:

x/4 = 3/7

4 * 3 = 12

12/7 = 1.714285714285714

Rounded to the nearest hundreths, the answer is  1.71

Answer:

62

Step-by-step explanation:

the triangles angles always add up to 180 degrees

66+52=118

180-118=62

hope this helps :) have a nice day !!

Given:

The equations of lines are

[tex]y=\dfrac{4}{5}x+8[/tex]

[tex]20y+25x=180[/tex]

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

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

Where, m is slope and b is y-intercept.

We have,

[tex]y=\dfrac{4}{5}x+8[/tex]        ...(i)

[tex]20y+25x=180[/tex]          ...(ii)

Equation (i) can be written as

[tex]20y=-25x+180[/tex]

[tex]y=\dfrac{-25x+180}{20}[/tex]

[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]

[tex]y=\dfrac{-5x}{4}+9[/tex]             ...(iii)

On comparing (i) with slope intercept form, we get

[tex]m_1=\dfrac{4}{5}[/tex]

On comparing (iii) with slope intercept form, we get

[tex]m_2=-\dfrac{5}{4}[/tex]

Now,

[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]

[tex]m_1\times m_2=-1[/tex]

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

Answer:

2 hours

Step-by-step explanation:

1=700

x=1735

1735=700x

1735/700

x=2.47

Answer:

Step-by-step explanation:

This is an exponential equation of the form, A=ar^t, where a is the initial amount and r is the common ratio or rate of growth and t is time. In this case.

A=700(1.12)^t and we want to find when A=1735

1735=700(1.12)^t

1735/700=1.12^t

ln(1735/700)=t(ln(1.12))

t=(ln(1735/700))/(ln(1.12))

t=8 hours

Answer:

see explanation

Step-by-step explanation:

∠ AOB = 360° - 264° = 96°

The altitude OM bisects ∠ AOB and the base AB

(a)

∠ MOB = 0.5 × 96° = 48°

Using the cosine ratio in right triangle MOB

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )

Multiply both sides by r

r × cos48° = 18 ( divide both sides by cos48° )

r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )

(b)

Using the tangent ratio in the right triangle MOB

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )

18 × tan48° = MB then

AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )

Answer: 0.0000203%

Step-by-step explanation:

The total number of people struck by lightning includes both those who died and those who were injured:

= 39 + 24

= 63 people

Probability of being struck is:

= People struck / U.S. Population

= 63 / 310,000,000

= 0.0000203%

Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

2x10^-12

Step-by-step explanatiion:

Answer:

#4: ≤

Step-by-step explanation:

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

Answer:

Step-by-step explanation:

No real solutions exist. Subtract 8 on both sides to get:

[tex]x^2=-20[/tex]

You cannot take the square root of a negative number without involving imaginary numbers.

Answer and Explanation

__________________________________________________________

__________________________________________________________

The answer is -10 because...

You need to multiply 2 by "x," and to find out what "x" is, we need to add...

[tex]2+-12[/tex]

__________________________________________________________

And if we add  [tex]2[/tex] by [tex]-12[/tex], we get [tex]-10[/tex], which is our answer.

__________________________________________________________

and now, if we add [tex]-20[/tex] by  [tex]8[/tex], we get [tex]-12[/tex], which is what the equation equals, and this is how we know it is correct.

__________________________________________________________

Hope this helps! :)

Answer:

its B

Step-by-step explanation:

They are all direct variations

Step-by-step explanation:

If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.

answer is 147

hope that helped

Answer:

m∠1 = 147°

Step-by-step explanation:

triangle = 180°

117 + 30 = 147

180 - 147 = 33

line = 180°

180 - 33 = 147

m∠1 = 147°

Answer:

2/3

Step-by-step explanation:

The slope is a 2/3 gradient :>>

Answer:

I believe that the answer is 2/3.. but I may be wrong...

Step-by-step explanation:

Answer:

193.2

Step-by-step explanation:

The way you would find the volume to a rectangular prism, is multiplying your length x width x height.

Answer:

4

Step-by-step explanation:

To get to 20 you have to multiply 5 by 4 so do the same with the 1 and multiply by 4 to make it proportional. 1 x 4= 4. There would be 4 gorillas

Answer:    2 books would cost $26.

Step-by-step explanation:

4 books : $52                 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.

2 books : $26

..........the answer is 48 × 10^-8

Answer:

3 weeks 21 days, 5 weeks 35, 7 weeks 49, 9 weeks 63 days

Step-by-step explanation:

Each week is 7 days

Answer:

-4 / 7

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

OR

m = (y2 - y1) / (x2 - x1)

m = (3 - 7) / (9 - 2)

m = -4 / 7

Answer: Binder = 75c    notebook = 65c

Step-by-step explanation:

3b + 10n = 875

3b + 4n = 485

Subtracting gives:

6n = 390

390/6 = 65

n = 65

Substitute 65 into 3b + 4n = 485

3b + 260 = 485

3b = 485 - 260

3b = 260

b = 75