which equation represents a line that is perpendicular to line FG​

Step-by-step explanation:

14) g(x)= x + 3 - 1

= x + 2

15) g(x)= x - 2 + 5

= x + 3

Answer:

detailed

Step-by-step explanation:

answer

Answer:

2k+4

Step-by-step explanation:

Jeremy ran

2k+4

Jeremy ran 4 more miles than twice of Kate.

Given, distance covered by Kate = k

Let distance covered by Jeremy = x

According to Question :

Distance covered by Jeremy = 4 + 2 × distance covered by Kate

Hence, x = 4 + 2k

Therefore, expression used to represent situation is :

Answer:

25 feet my guy and u deserve a meme scroll down for it

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR

We conclude that  'Symmetric Property of Angle Congruence' illustrates this statement.

Step-by-step explanation:

We know that the Symmetric Property of Angle Congruence can be defined as

For example, Let suppose

As ∠X≅∠Y i.e. 20 ≅ 20

then

∠Y≅∠X i.e. 20 ≅ 20

Given

if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR

Thus, we conclude from the above discussion that 'Symmetric Property of Angle Congruence' illustrates this statement.

9514 1404 393

Answer:

  p(x) = x^4 -5x^3 +20x -16

Step-by-step explanation:

If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:

  p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)

__

Multiplying these out gives the result in standard form.

The product of the first two factors is a "special product" recognizable as the difference of two squares.

  (x -2)(x +2) = x^2 -2^2 = x^2 -4

The product of the last two factors can be found in the usual way. The distributive property applies.

  (x -4)(x -1) = x(x -1) -4(x -1)

  = x^2 -x -4x +4 = x^2 -5x +4

Then the full polynomial is the product of these partial products:

  p(x) = (x^2 -4)(x^2 -5x +4)

  = x^2(x^2 -5x +4) -4(x^2 -5x +4)

  = x^4 -5x^3 +4x^2 -4x^2 +20x -16

  p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form

Answer:

the value of x is 48

Step-by-step explanation:

because if x=12 and y=4 than you have to do this:

-) (x+y) x/y

(12+4) times 12/4

4/6 times 2/41

than it equals 48

this took me so long ;-;

Answer:

The reference angle for 155° is 25°

Step-by-step explanation:

The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.

The reference angles are obtained by the following reference

0 - 90° => Angle

90° - 180° => 180 - angle

Our given angle is: 155° so we will use the second rule

The reference angle will be:

180° - 155° = 25°

Hence,

The reference angle for 155° is 25°

Answer:

Step-by-step explanation:

1200x6%(.06)=72

72x4=288

1200+288=1488

1200+72=1272+72=1344+72=1416+72=1488

Answer: the number of terms of the series is 201 numbers

              the sum of the first 20 terms is 890    

the number of terms of the series is [tex]\frac{805-5}{4}+1=201[/tex]

the series have:

u1 = 5

d = 4

=> u(n) = 5 + 4.(n - 1)

=> u(20) = 5 + 19.4 = 81

so the sum of the first 20 terms is (81 + 5).20/2 = 890

( u1 is the first number of the series, d is the  distance between front and rear numbers, u(n) is the overall term of the sequence, u(20) is the 20th of the series)

Step-by-step explanation:

Answer:

Step-by-step explanation:

let smaller be x

larger number is x+5

4x-3(x+5)=29

4x-3x-15=29

x=29+15=44

x=44

larger number is 49

Answer:

the answear is c

Step-by-step explanation:

i learnt in class that the number with the letter is used to divide what it equalls

Answer:

C

Step-by-step explanation:

Step 2 is correct, that is

8x = 10 ( divide both sides by 8 ), error made here by dividing by 10

x = [tex]\frac{10}{8}[/tex]

x = [tex]\frac{5}{4}[/tex]

The error was made at step 3

Answer:

the sunflower seeds are a better deal when comparing unit price. The real question is why are we comparing raisins to sunflower seeds?

Step-by-step explanation:

14 raisins costs $2.94

This is $0.21 per raisin.

12 sunflower seed bags costs $2.40

That's $0.20 per bag.

Answer:

3/2

Step-by-step explanation:

If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2

1 necklace will therefore cost 34/4 = $8.5

Step-by-step explanation:

She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.

At an average, she spent $49.

The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.

Thus $49 - $15 = amount spent on the 4 necklaces = $34.

4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5

Answer:

Step-by-step explanation:

6x+86=254

subtract  86 from both sides 6x=168

divide both sides by 6 x=28

Answer:

B.14.13in³

Step-by-step explanation:

Step one

The shape of the cup is that of a cone

The volume of a cone

V=1/3πr²h

Radius= d/2 = 1.5in

Height =6in

Substitute

V=1/3*3.142*1.5²*6

V=42.42/3

V=14.13in³

Answer:

IT IS 200

Step-by-step explanation:

Answer:

Is a 0

Step-by-step explanation:

Answer:

It's probably an isosceles triangle

Step-by-step explanation:

Answer: 54 green beads

Step-by-step explanation:

From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.

The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:

= 21.6 / 0.4

= 54 green beads

Answer: $777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

545

Step-by-step explanation:

9/100=0.09

0.09*500=45

45+500=545

Real answer: 545 Hope this helped C:

Answer:

150[tex]\geq[/tex] 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

Answer:

When x=1/2, y=28/3

when x =0, y=9

Equation is y=2/3 x + 9

Step-by-step explanation:

First lets convert them to fractions to make it easier. Also put them in order.

X                     Y

0

1/2  

3/4                  19/2

1                      29/3

6/5                 49/5

You can find the slope since we know 2 points.

(3/4, 19/2) and (6/5, 49/5)

m=3/10 / 9/20

m=2/3

y=2/3 x + b

Lets plug in x and y points to find the y-int

19/2=2/3(3/4) + b

b=9

Therefore y=2/3 x + 9

When x=1/2, y=28/3

when x =0, y=9

Answer:

B. 3:7

Step-by-step explanation:

hope it helps u :)

Answer:

well for me I think

Step-by-step explanation:

it's 3:7

hope it's helpful

Answer:

a = 3

the other root = -7/3

Answer:

14a+114

Step-by-step explanation:

Answer:

14a+114

Step-by-step explanation:

Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!

The number of cartons that the oranges would fill in  Bob’s Citrus and Nursery would be 235 cartons.

The number of grapefruits in each bin would be 241 grapefruits per bin.

To find the number of cartons of oranges that would be filled, use the number of oranges that go into carton in Bob’s Citrus and Nursery and the number of oranges they have to pack. The formula would be:

= Number of oranges / Number of oranges per carton

= 5, 643 / 24

= 235 cartons

The same logic is applied to find the number of grapefruits that would be in each bin. If each bin would have an equal number of grapefruits, the number of grapefruits per bin would be:

= Number of grapefruits / Number of bins

= 4, 338 / 18

= 241 grapefruits per bin

Find out more on grapefruits at https://brainly.com/question/7943300

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Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]