Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes
are equal.
They are not perpendicular because their slopes
are not negative reciprocals.

Answer:

[tex]Mean = 42[/tex]

Step-by-step explanation:

Given

Represent Fred with F; Norman with N and Dave with D.

[tex]Total = 128[/tex]

[tex]D = 44[/tex]

Required

Determine the arithmetic mean of F and N

First, we have that:

[tex]F + N + D = 128[/tex]

Substitute 44 for D

[tex]F + N + 44 = 128[/tex]

Subtract 44 from both sides

[tex]F + N + 44 - 44 = 128 - 44[/tex]

[tex]F + N = 84[/tex]

Arithmetic mean of F and N is calculated as follows:

[tex]Mean = \frac{F + N}{2}[/tex]

[tex]Mean = \frac{84}{2}[/tex]

[tex]Mean = 42[/tex]

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Given,

[tex] \sqrt{x + 11} - x = - 1[/tex]

To Find:

Solution:

Square both sides, then solve.

[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]

[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]

[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]

[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]

[tex] \rm \implies1+x {}^{2} −3x=11[/tex]

[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]

[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]

Factor the LHS

[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]

Bring terms equal to 0, that is

[tex] \implies \rm(x - 5) = 0[/tex]

[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]

AND set x+2 equal to 0,

[tex] \rm\implies \: x + 2 = 0[/tex]

[tex] \rm \implies \: x = - 2[/tex]

So the possible two values are 5 & -2.

But, after plugging the values for verifying each,the most accurate is 5.

So, the value of x is 5.

Answer:

6 LB 12 OZ

Step-by-step explanation:

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Answer:

6lb 8oz

Step-by-step explanation:

9lb 4oz

+16

8lb 20 oz

-2 lb 12oz =

Answer:

21

Step-by-step explanation:

you plug in 5 for a and 6 for b and solve.

The value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21

3 + (a + 4)(8 - b)

when,

a = 5 and b = 6

= 3 + (5 + 4) (8 - 6)

= 3 + 9 (2)

= 3 + 18

= 21

Therefore, the value of the expression 3 + (a + 4)(8 - b) when a = 5 and b = 6 is 21

Learn more about evaluation:

https://brainly.com/question/4344214

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Answer:

I’m sorry but I can’t see how much it’s on sale for so just tell me and I’ll answer.

Step-by-step explanation:

Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.

75 •

.75 =

.5625

.75 •

.75 •

.75 =

.4219

(i'm sorry if i'm wrong)

Answer:

60 years

Step-by-step explanation:

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

Answer:

Step-by-step explanation:

9(2n + 1)

use the distributive property a(b + c) = ab + ac

= (9)(2n) + (9)(1) = 18n + 9

Step-by-step explanation:

9(2n+1) =0

18n+9 = 0

18n = -9

n = -9/18

n = -1/2

Answer:

1.08

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1.01<1.08<1.17<1.20

Answer:

20/7 dollars per hour

Step-by-step explanation:

He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.

10 / (3 1/2) =

10 / (7/2) =

(10/1) x (2/7) =

20/7

Answer: since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation: I got this from a friend. But I hope this helps! <3

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]

Consider (ii)

[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]

Multiply 10 on both sides , we get

[tex]10Y-X=265000 (iii)[/tex]

Add (i) and (iii)

[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]

Put this in (i)

[tex]X= 33500+0.2(373125) =108125[/tex]

Hence, X= 108125 and  Y  = 373125.

Answer:

$15

Step-by-step explanation:

The unit rate or how much a comic book costs = total cost ÷ number of comic books

Using any given pair, let's use the first row (3, 3.75):

Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]

This means a comic book cost $1.25.

Therefore, 12 comic books would cost:

12 × 1.25 = $15

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

Answer:

f⁻¹(x) = x+2 / 3

Step-by-step explanation:

i dont have one. i just did it.

Answer:

4

Step-by-step explanation:

Putting money into more than one kind of investment at a time is called Diversification.

This a technique which helps to reduce risk through investing in different sectors and opportunities.

It also involves putting money in more than one type of investment which makes Diversification the most appropriate choice.

Read more about Diversification here https://brainly.com/question/18647091

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Answer:

Use this

Step-by-step explanation:

Answer:

D. 2 1/4

Step-by-step explanation:

(99/8)/(11/2)

(99/8)*(2/11)

(9/4)*(1/1)=9/4

9/4=2+1/4

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

Answer:

D

Step-by-step explanation:

all should add up to 180

Answer:

E. 70°, 60°, 40°​        D. 75°, 50, 100        C. 50°, 50°, 100°

Step-by-step explanation:

If you add the three degrees together, they all should equal 180 degrees.

Hope this helped :)

Answer:

[tex]\huge\boxed{j\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}[/tex]

Answer:

I honeslty dont know I just need points to answer a question

Step-by-step explanation:

hope you find the answer youre looking for!

Answer:

What's the triangle though?

Step-by-step explanation:

Answer:

Not enough Data

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/5 is the same as 4/10

Answer:

26.75 units²

Step-by-step explanation:

Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.

Find the area of each then sum all together to get the area of the figure.

✔️Area of Triangle 1 (the biggest triangle):

Area = ½*base*height

height = 3.5

base = 2 + 2 + 5 = 9

Area = ½*9*3.5 = 15.75 units²

✔️Area of Triangle 2 (the medium triangle):

Area = ½*base*height

height = 2

base = 5

Area = ½*5*2 = 5 units²

✔️Area of Triangle 3 (the smallest triangle):

Area = ½*base*height

height = 2

base = 2

Area = ½*2*2 = 2 units²

✔️Area of the square:

Area = s²

s = 2

Area = 2² = 4 units²

✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²

Answer:

do u know the answer ik it's five units up but that it

Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.

Step-by-step explanation: