Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).
What are the coordinates of endpoint H?
1. (57,75)
2. (-5, -31)
3. (22,50)
4. (78,90)

Answers

Answer 1

Answer:

(x2 , y2) = (22,50)

Step-by-step explanation:

Given:

m1 : m2 = 1:4

(x1 , y1) = (7 , 5)

(X ,Y) = (10 ,14)

Find:

(x2 , y2)

Computation:

X = (m1x2 + m2x1) / (m1+m2)

10 = [(1)(x2) + (4)(7)]/(1+4)

10 = [x2 + 28]/5

22 = x2

Y = (m1y2 + m2y1) / (m1+m2)

14 = [(1)(y2) + (4)(5)]/(1+4)

14 = [y2 + 20]/5

70 = y2 + 20

50 = y2

(x2 , y2) = (22,50)


Related Questions

I need to write an equation for the triangle and solve for x

Answers

You know that the sum of angles of line CX has to be 180 degrees. Therefore, because you know angle EDX equals 134 degrees, and 180-134= 46, you know that angle CDE equals 46 degrees. Because you know the 3 interior angles of a triangle equals 180 degrees, if you subtract 180 - 46 - 105 = 2x-13. This simplified is 29= 2x-13. Further simplified, 42=2x. Therefore x=21 degrees.

Need Help with this please!!

Answers

Answer:

A is 85 degrees

Which of the following expressions will result in a product less than zero?
А
6.4 x (-3.5)
B
-7.1 x (2.5)
С
-2.3 (-1.9)
D
9.2 x (4.0)

Answers

Answer:

All of the except for D and C

Step-by-step explanation:

A negative times a positive is always negative

Answer:

A,B

Step-by-step explanation:

The hanger image below represents a balanced equation.
60
U
Find the value of u that makes the equation true.

Answers

Answer:

12

Step-by-step explanation:

Essentially, 60 and the 5 us must be equal:

60=5u

Divide both sides by 5 to solve for u but keep the equation balanced.

12=u

Answer:

the answer is 12

If GEOM is a square, find m2GQE.

Answers

Answer:

90 is correct answer of it question

In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the number
sent. How many were sent and how many were received each day?

Answers

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

7. Find the product. 8. Find the product. 9. Find the product.

Answers

Answer: 7) 6/17

8) 28/45

9)24/15

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

no need to

Plsssss helpppppppppp meeeeeeeeee

Answers

Answer:

x = 14, y = 37

Step-by-step explanation:

The angle vertical to (9x + 12 )° and 3x are same- side interior angles and are supplementary, sum to 180°, then

9x + 12 + 3x = 180

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14, so

3x = 3 × 14 = 42

3x and 4y - 10 are adjacent angles and supplementary, then

3x + 4y - 10 = 180

42 + 4y - 10 = 180

4y + 32 = 180 ( subtract 32 from both sides )

4y = 148 ( divide both sides by 4 )

y = 37

(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)

Answers

Answer:

640

Step-by-step explanation: and wow

9. Factorize: 6x2 - 19x + 14.​

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

$35 bill before tax
tax:5.8%
Tip:21%

Answers

Answer:

If tip goes only on amount but not on tax: $44.38

If tip goes on total including tax: $44.81

Step-by-step explanation:

If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.

tax + tip = 5.8% + 21% = 26.8%

100% + 26.8% = 126.8% = 1.268

1.268 * $35 = $44.38

If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.

Bill before tax: $35

Add 5.8% tax: 1.058 * $35 = $37.03

Add tip to the amount including tax: 1.21 * $37.03 = $44.81

Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
A
1 out of 3
B
1 out of 6
с
3 out of 6
D
5 out of 6

Answers

Answer:

C) [tex]P(E) = \frac{3}{6}[/tex]

The probability that Mae will roll an odd number

[tex]P(E) = \frac{3}{6}[/tex]

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}[/tex]

[tex]P(E) = \frac{3}{6}[/tex]

Juan received a bank account statement reporting the recent changes
to his account. The statement showed an overall increase in the
account balance of $1,909.15. During the time shown on the
statement, Juan was paid twice and withdrew a total of $1,437.99 to
cover all his bills and expenses. How much (x) is each of Juan's
paychecks?

Answers

Answer:

2628.15

Step-by-step explanation:

1909.15+ 1437.99/2=2628.15

Number seven plz helppp

Answers

6^4 is the same as 6x6x6x6
The answer is 1,296

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.


Pls help it would be a big help rn

Answers

Answer:

1.5 g/mm³

Step-by-step explanation:

Density = [tex]\frac{Mass}{Volume}[/tex]

[tex]\frac{3}{2}[/tex] = 1.5 g/mm³

A pair of jeans that originally cost $40 was marked up 50%. During a sale the jeans were discounted 50%. What
is the sale price?

Can you explain how to show my work step by step

Answers

Answer:

20$

Step-by-step explanation:

50% of 40= 20

Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol

Answers

Answer: C

Step-by-step explanation:

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro

Answers

Answer:

Absolute error = $25

Step-by-step explanation:

Given that:

Amount spent by John on shopping trip = $75

Estimated amount to spent on shopping trip = $100

Absolute error = Approximate value - Exact value

Here,

Approximate value = $100

Exact value = $75

Absolute error = 100 - 75

Absolute error = $25

Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]

Percentage = [tex]\frac{25}{75}*100[/tex]

Percentage = 33.33%

Hence,

Absolute error = $25

What is 3/4 divided 1/2

Answers

Answer:

1.5

Use KCF to solve this problem

Answer:

1 1/2

Step-by-step explanation:

When dividing fractions, use Keep Change Flip, to get 3/4*2/1, this gives you 6/4, which is equal to 1 1/2

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


Hair clippings on the floor


Tool cord left out


Spills on floor

Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

What is the simplified form of the expression(x + 6)(7x − 1)?

8x^2 + 5

7x^2 + 41x − 6

7x^2 + 43x − 6

7x^2 − 6

Answers

Answer:c

Step-by-step explanation:

Answer:

B: 7x2 + 41x − 6

Step-by-step explanation:

Use the FOIL method to multiply the two expressions.

(First Outer Inner Last)

Then, combine like terms.

(x + 6)(7x − 1) = (x)(7x) + (x)(-1) + (6)(7x) + (6)(-1)

 = 7x2 − x + 42x − 6

 = 7x2 + 41x − 6

The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.

Answers

Answer:

1778 cm

Step-by-step explanation:

In the last 40 days, Mr. Neptune's newspaper has been delivered late 6 times. What is the experimental probability that it will be delivered late tomorrow?

Answers

Answer:

15%

Step-by-step explanation:

The reason for this is simply because if you take 40 and 6, turn it into a fraction, then turn it into a percentage, it turns out to be 15%

The Texas Renaissance Festival charges an entrance fee of $10 and $0.50 per ticket for the rides. The State Fair of Texas charges an entrance fee of $16 and requires $0.25 per ticket for the rides. How many tickets must be bought in order for the total cost at The Texas Renaissance Festival to be the same as The State Fair of Texas?


a
8
b
24
c
16
d
12

Answers

10 + .50x = 16 + .25x
.50x = 6 + .25x
.25x = 6
x = 24 tickets

consider the two functions which statement is true?

Answers

Answer:

A

Step-by-step explanation:

The answer is the rate of change for function A and Function B are the same!

Twice the difference of 1 and a number.

Answers

2(1-n) where n=a number

Help pls question is the picture above :))))

Answers

It’s A,B,D hope this helps you!!

What is the measure of angle P?

Answers

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

step 4: 180°-120°= 60

The diagram shows two congruent equilateral triangles whose overlap is a hexagon.
The areas of the smaller triangles, which are also equilateral, are 1, 1, 9, 9, 16 and 16, as shown.
16
16
X1
9
What is the area of the inner hexagon?

Answers

Answer:

38

Step-by-step explanation:


Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it

Please Help!!!!!!!!!

Answers

Answer:

x=17

Step-by-step explanation:

x+4+3x=72

4x+4-4=72-4

4x/4=68/4

x=17

Associative property of addition

Answer: x  =  17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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