Point G is on line segment FH. Given FG = 5x + 2, GH = 3x – 1, and
FH = 9, determine the numerical length of FG.

Answers

Answer 1

Answer:FH = 12

Step-by-step explanation:


Related Questions

Find the next number in the sequence 1, 1/4, 1/9 , 1/16, 1/25

Answers

(Add5) 1/9..(add 7) 1/16... (add9) 1/25... (add 11) and get -> 1/36

Are these expressions equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

If you subtract the p4 and p2 you get p2. q5-q2 is q3. 39/3 is 13. Therefore those expressions are equivalent.

WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).

Answers

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]

then I simplified them

[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]

[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]

[tex]-4k + 36 = 0\\[/tex]

[tex]4k = 36[/tex]

[tex]k = 9[/tex]

when k = 9, the two distances are equal

Which pair of undefined terms is used to define the term parallel lines?

Answers

Answer:

The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines

Step-by-step explanation:

Convert 255.38° to DMS

Answers

255 22 48
D=int(255.38)=255
M=int(255.38-255)x60)=22
S=int(255.38-255-22/60)x3600=48

255.38=255 22 48 DMS

Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la tercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?

Answers

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m

What is the distance between P(-4, 3) and Q(6, 1)? Round to the nearest tenth.
9.8
4.5
10.2
1.5

Answers

Answer:

10.2

How I found this answer:

4+6=10

3-1=2

10^2+2^2=104

The square root of 104 is 10.1980390272, which can be rounded to 10.2

Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5

Answers

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

Learn more about Prime Factorization here:

brainly.com/question/4184435

#SPJ7

write a calculation and a result that represents a number that is 5 greater than 3

Answers

Step-by-step explanation:

vt7vy7v fyy7ctyxt6zqDg gj

Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.

Answers

Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds.

Identify Christina’s set of constraints.

Answers

Answer:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Step-by-step explanation:

Let's define H as the number of hardcover books.

Let's define P as the number of paperback books.

Now we have the restrictions:

"... so that there are at least 20 books in each box..."

Then:

P + H ≥ 20   (the total number of books per box is 20 or larger)

"...but the boxes cannot weigh more than 30 pounds."

P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)

Then the set of constraints is:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Notice that this system has a lot of possible solutions.

P = 20 and H = 0 is  a solution

P = 21 and H = 0 is a solution.

P = 19 and H = 1 is a solution.

etc...

f(x) = -2x + 10
f(-1.5)

a 13
b -13
c 20
d -20

Answers

Answer:

f( -1.5) = 13

Step-by-step explanation:

F(-1.5)= -2(-1.5)+10

-2 times -1.5 = 3

3+10

f( -1.5) = 13

what is 7 divided by -14

Answers

the answer should be -7

what is the answers to
8x-2-5x+7= ​

Answers

Answer: 3x +5

Step-by-step explanation:

Group the variables first 8x-5x is 3x. Then look at the numbers -2+7 is 5.

You can't combine letters and numbers so it's as far as you can go.

G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.

Answers

Answer:

EH = 10

Step-by-step explanation:

Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).

I NEED HELP .A group of 5 friends is out to dinner. Each of the friends will order the dinner special, and they have a coupon for $10 off the entire bill. Which equation can be used to find the total cost of all the dinners after the coupon is applied? A. 10d + 5 equals c B.v d minus 10 equals c C. 10d - 5 equals c D. 5 D + 10 equals c ​

Answers

Answer:

ok um im in sekond grqade sooory

Step-by-step explanation:

what can you conclude about parallel lines with regard to the distance between them? use the word perpendicular your answer.

Answers

Answer: Hope this helps ;3

The shortest distance between two parallel lines is the length of the perpendicular segment between them. It doesn't matter which perpendicular line you choose, as long as the two points are on the lines.

Answer: Perpendicular is the length of the  distance of parallel lines

Step-by-step explanation:

x²y + 2 xy² + 3x²y=?

Answers

Answer:

2xy(2x+y)

Step-by-step explanation:

xy(x+2y+3x)

By factoring the xy out you have to divide all term by xy giving you that :)

A Segment Has A Midpoint At (3,2)And One Endpoint At (4,-4) What Is The Ordered Pair Of The Other Endpoint ?

Answers

Answer:

Step-by-step explanation:

(x + 4)/2= 3

x + 4 = 6

x = 2

(y - 4)/2= 2

y - 4 = 4

y = 8

(2, 8) the other endpoint

Simplify: -7 -(-3)
Sometimes help me

Answers

Answer: -4
Hope this helps

Your cell phone plan costs $34.99 per month plus $0.16 for each text message you send or receive. You have at most $42 to spend on your cell phone bill. What is
the maximum number of text messages that you can send or receive next month?
The maximum number of text messages is
HELP NOW PLEASE

Answers

Answer:

262.5 messages per month

Step-by-step explanation:

Cost of plan = $34.99

Cost per message = $0.16

Maximum bill = $42

Maximum # of messages = $42/$0.16 = 262.5

HELP ASAP my answer is c

Answers

your answer is correct.

That should be right

how do you add and subtract decimals??

Answers

Answer:

add ans subtract like normal

Step-by-step explanation:

Step-by-step explanation:

To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up. Put in zeros so the numbers have the same length .Then add, using column addition, remembering to put the decimal point in the answer.

subtraction also in the same way only place the large no up and small down and do subtraction.

I hope this helps....

!!!50 points!!
What are two other names for <2?

Answers

Answer:

C.

Step-by-step explanation:

Because R is the vertex and you always name a angle with its vertex in the middle, R would have to be in the middle. So the only possible answer is C.

Name the x-intercept

Answers

Answer:

There are no x-intercepts

Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.

Answer:

no x intercept

Step-by-step explanation:

The x intercept is the value where it crosses the x axis.

This functions does not cross the x axis

There is no x intercept

Evaluate the expression when x=-3.
x^2+5x=-4

Answers

[tex](-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4[/tex]

This is not possible, as -6 is not equal to -4.

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

Answers

Complete question is;

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans

Answer:

A) Relative percent distribution

B) 576 Americans

Step-by-step explanation:

A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.

Thus,it is relative percent distribution.

B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people

Mary Robertson sells tires at large car service. she earn 10% commesstion

Answers

save and exit is the right answer

-5/7 (50/5 - 1/5) explanation too please

Answers

I have this question tooo

Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.

Answers

Answer:

The quotient of -27/9 is -3 hope this helps <3

Step-by-step explanation:

9 goes into 27, 3 times, since 27 is negative, it would be -3

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