Simplify and leave your answer in index form

The length of the line segment GD is 10.5

To get the length of the line segment GD, we will use similarity theorems of triangles to have:

ED/FD = GD/DH

Substitute the given sides to have:

6+GD/(8+14) = GD/14

6+GD/22 = GD/14

Cross multiply

22GD = 14(6+GD)

22GD = 84 + 14GD

22GD - 14GD = 84

8GD = 84

GD = 84/8

GD = 10.5

Hence the length of the line segment GD is 10.5

Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Answer: see below

Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50

If  Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being

$5y + $6y - $50 or $11y - $50

Answer:

2×2=4

9x+2=11x

1-6x=4x

x²-4=16

=16¹⁵x

Answer:

36

Step-by-step explanation:

6:8

27/6 = 4.5

8 · 4.5 = 36

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

Answer:

7.8 or 8

Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.

5^2 is 25 and 6^2 is 36

Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.

Answer:

See below

Step-by-step explanation:

Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)

in order:

y=6

y=16

y=26

y=31

Answer:

Parallel: 6, 1

Perpendicular6,. 1

Answer:

y=15

Step-by-step explanation:

3(x - 2) = 3x - 6 ---> Distributive

3+ (4 + 5) = (3 + 4) + 5 ---> Associative

- 4x - 8 = – 2(2x + 4) ---> Distributive

4.5.6=6.4.5 ---> Commutative

(2.3). 7 = 2 · (37) ---> Associative

Answer:

13+4=17,17/64=3-8=-5

Step-by-step explanation:

this is the solution

Step-by-step explanation:

Let x be the number subtracted from 13 such that the difference is 13-x

divide that resulting difference by 11, then it becomes (13 - x) / 11

Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8

the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide

both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2

Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.

Answer:

Step-by-step explanation:

First, to solve the problem, you must distribute the 5 to the (2 + 9). Which ends you up with 10 + 45. Which would give you 55, but we aren't solving it.

So instead, when you are distributing, you are taking the number next to the parentheses (5) and multiplying it into the parentheses like this:

(5 x 2) + (5 + 9).

That is your answer. Hope this helps.

Answer:

a)

Step-by-step explanation:

Answer: pretty sure it's d but I could be wrong

Step-by-stepStep-by-step explanation:

Answer:

0.8 km per day

Step-by-step explanation:

5 3/5 is the same as 5.6, so

5.6/7

= 0.8 km per day

Recall that

(a + b)² = a² + 2ab + b²

Then

(a + b)² = 25 + 2•12 = 49

Answer:

-7 1/2 equals to -7.5

so

-7.5 ___ -7.75

-7.5 > -7.75

Answer:

x = 45°, y= 5°

Step-by-step explanation:

x = 9y

90+2x = 180

2x = 90

x = 45

so x = 45

9y = 45

y = 5

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

The one-time entry fee is $12.

In order to determine the one-time entry fee, two equations have to be formed from the information in the question:

x + 5y = 42 equation 1

x + 7y = 54  equation 2

Where:

x = one-time entry fee

y = cost to pick an apple per pound

In order to determine the one-time entry fee, take the following steps:

Multiply equation 1 by 7 and equation 2 by 5.

7x + 35y = 294 equation 3

5x + 35y = 270 equation 4

Subtract equation 4 from equation 3

2x =24

Divide both sides of the equation by 2

x = $12

To learn more, please check: brainly.com/question/23589883

Answer:

[tex]x=-10-8 = -18[/tex]

Step-by-step explanation:

Answer:

x=-10-8=18

Step-by-step explanation:

Answer:

f(x)=12(1.2)x

Step-by-step explanation:

Answer:

The Answer Is A. $13,800

Step-by-step explanation:

Answer: x = 13, Angle ABE = 51°

Step-by-step explanation:

Since angle ABC is 90° and angle EBC is 39°, subtract them.

90° - 39° = 51°

This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).

51 = 3 (x + 4)

Multiply 3 by x and 4.

51 = 3x + 12

Subtract both sides by 12.

39 = 3x

Divide both sides by 3.

x = 13