If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X, ​

Answers

Answer 1

Answer:

The answer is option C..........

Answer 2

To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.

What is line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.

The slope of AB can be calculated using the formula:

mAB = (y2 - y1) / (x2 - x1)

Similarly, the slope of CD can be calculated using the formula:

mCD = (ya - Y3) / (xx - X3)

If mAB = mCD, then AB is parallel to CD.

Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)

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Related Questions

New car is purchased for $20,700 dollars. The value of the car depreciate at 5% per year. To the nearest 10th of the year, how long will it be Until the value of the car is at $14,900 dollars ?

Answers

Answer:

6.4,,,,,,,,,,,,,,****

a trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft3 in volume and weighs 80 lb. Each crate of grapefruit has a volume of 6 ft3 and weighs 100 lb. His truck has a maximum capacity of 300 ft3 and can carry no more than 6800 lb. Moreover, he is not permitted to carry more crates of grapefruit than crates of oranges. If his profit is $2.50 on each crate of oranges and $4 on each crate of grapefruit, how many crates of each fruit should he carry for maximum profit

Answers

answer = 560 profited

Solve y = x2-5 for x.
A. X = y +5
B. X=-+ y-5
C. X = y-5
D. X = -+ y+5

Answers

y = x^2 - 5

y + 5 = x^2

(Now you need to square root both sides)

√y+5 = x

x = PLUS OR MINUS √y + 5

ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

Step-by-step explanation:

B is the correct answer.

Answer:

B

Step-by-step explanation:

im smart

Trying this one more time someone please hel

Answers

Answer:

G

Step-by-step explanation:

Select G, it does not show ratio of students to teachers is 13:3.

3s=13t means 3 students to 13 teachers

It takes ⅙ of a yard of ribbon to make one bow. How many bows can be made with 4 yards of ribbon?

Answers

Answer:

24 bows can be made with 4 yards of ribbon

you can make 24 1/6 yard bows with 4 yards of ribbon

Find the sum: (7b
-4) + (-2b+1).

Answers

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

What is 3/8 divided by 1 1/4 in its simplest form

Answers

9514 1404 393

Answer:

  3/10

Step-by-step explanation:

  (3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10

Q) (3/8) ÷ (1 1/4) = ?

→ (3/8) ÷ (1 1/4)

→ (3/8) ÷ (5/4)

→ (3/8) ÷ (10/8)

→ (3/8) × (8/10)

→ 3/10 {final answer}

The value of X (click photo)

Answers

Answer:

20°

Step-by-step explanation:

;b

Answer:

x=40

Step-by-step explanation:

The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).

<RTS=(1/2)(mQP-mRS)

(x/2)=(1/2)((x+70)-(x+30))

x=x+70-x-30

x=40

Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0

Answers

B) If y is the additive identity is 0

Prove that sin^4x + cos^4x= sinxcosx

Answers

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

PLS HELP WILL GIVE BRAINLIEST

Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115

Answers

i think it’s c or d i believe but i’m not 100% sure

The solution is, D.) 11,115 is the total value of his assets.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Malcolm's net worth is $3,475.

His liabilities are $7,650.

now, we have,

the total value of his assets is:

we just have to add them.

$3,475 + $7,650

=11125

Hence, The solution is, D.) 11,115 is the total value of his assets.

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use the laws of Sines and law of cosines to find missing Dimensions. Part 2​

Answers

9514 1404 393

Answer:

  13.  (A, b, C) = (30.66°, 91.042, 25.34°)

  14.  insufficient information

Step-by-step explanation:

13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.

  b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59

  b ≈ 91.042

__

  A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°

  C = 180° -124° -30.66° = 25.34°

The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).

__

14. One side and one angle do not define a unique triangle. There is insufficient information to find f.

Uhh help?? I’m highly confused I just want answers

Answers

Answer:

1) x = 5√3, y = 5

2) x = 16, y = 8

3) x = 10, y = 5

4) m = 9√15/10, n = 9√5/10

5) x = 3√3/2, y = 3/2

6) x = 6√5, y = 3√5

7) x = 5, y = 5

8) x = 5√2, y = 5

9) a = 2, b = √2

10) m = 10√6/3, n = 5√6/3

Explanation:

For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.

For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.

For 45° - 45° - 90° triangles (Isosceles Right),

Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.

This is all computed as a result of the trigonometric functions:

SOH CAH TOA.

This is a shortcut for these specific triangles.

If you do not have the side marked as x, just do the inverse operation to get it.

90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)

Help giving brainliest please help

Answers

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

The owner of a store buys wooden benches for $50 each. She marks up the
price by 75%. At the end of the season, she sells the remaining benches for
30% off. How much profit does the owner make on each bench at the end of
the season? Show your work

Answers

Answer:

Step-by-step explanation:sdf

can someone please help me? I really need help

Answers

Answer:

x=49

<A=90

<E=147

Step-by-step explanation:

What is the vertical distance from the origin to the point (8, 1)?

Answers

Answer:

The vertical distance is 1.

Explanation:

Coordinates are structured as ( x , y )

The "x" is horizontal and the "y" is vertical, when placed onto a graph.

In the question, 8 is "x" and 1 is "y". Meaning the vertical number is 1.

-2 (x + 3) i need help... do your thing

Answers

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

Greg buys 21 bags of nails. Each bag has 85 nails in it. Greg rounds both numbers to the nearest ten to find an estimate of the total number of nails. What is the difference between Greg's estimate of the total number of nails and the actual total number of nails?

Answers

Answer:

1800

Step-by-step explanation:

21 rounds to 20

85 rounds to 90

20*90=1800

21*85=1785

1800-1785=15 nail difference

Which number line shows the solution to the inequality -4x + 3 < -5

Answers

Answer:x>2

Step-by-step explanation:

4x/4>8/4

between which two consecutive integers does √ 350 lie​

Answers

Answer:

18 and 19

Step-by-step explanation:

Answer:

18 and 19

Step-by-step explanation:

root 350 is 18.71

so in between 18 and 19

what is the rate of change of y with respect to x for this function?​

Answers

Answer:

Rate of change = -0.2

Step-by-step explanation:

Given:

(-3, 3.6) and (5, 2)

Required:

Rate of change

Solution:

Formula for rate of change = change in y/change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

(-3, 3.6) = (x_1, y_1)

(5, 2) = (x_2, y_2)

Plug in the values into the equation:

Rate of change = [tex] \frac{2 - 3.6}{5 -(-3)} [/tex]

Rate of change = [tex] \frac{-1.6}{8} [/tex] = -0.2


A gift box has the shape of a cube with an edge length of 4.5 in.
What is the volume of the gift box?
Enter your answer in the box.
in3

Answers

Considering the provided information in the given question we have,

A gift box is in the shape of a cube.Length of each edge = 4.5 in

We need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,

→ Volume of cube = l × l × l

→ Volume of cube = 4.5 in × 4.5 in × 4.5 in

→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]

Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].

4. A rectangular prism has a length of 5 inches and a width of 3 inches. If
the volume of the rectangular prism is 45 cubic inches, what is the height
of the prism?​

Answers

Answer:

height 3 inches

Step-by-step explanation:

h = V/LW = 45/3x5 = 3 inches

Find the area of the shape below

Answers

Find the area of the rectangle then find the area of trapezium and add them up

Maya plots the yards lost during a football game on a number line and labels it A. She plots Point B to the right of zero, a distance that is exactly as far from zero as Point A is. Which sentence is a correct statement about Point B?
The sum of the values of Point A and Point B is negative.
The sum of the values of Point A and Point B is zero.
Point B lies twice the distance from 0 as Point A.
Point B lies to the left of Point A on a number line.

Answers

Answer:

B

Step-by-step explanation:

The sum of the values of Point A and Point B is zero since Maya plotted Point B a distance that is exactly as far from zero as Point A is.

Answer: B) The sum of the values of Point A and Point B is zero.

Step-by-step explanation:

They are equally distant from 0, so they cancel eachother out.

I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help

Answers

Answer:

Mean: 20

Median: 21

Mode: 14

Range: 16

Answer:

the median is 21. the mode is 14 and the range is 16

Step-by-step explanation:

abus
Find the slope of the line shown in the graph below.
5
nts
4
2
1
-6-5-4
2
3
4
5
6
2

Answers

I don’t even know what this is if you give me the equation than I can help

here are the prices of 5 new bicycles in dollars 25,30,50,77,80. The standard deviation is about $26.If a 6th bike is added to the sample that has a price of $400 what happens to the standard deviation?

Answers

Answer:

The new standard deviation will be greater than $26

Step-by-step explanation:

The new bicycle has a price much larger than the price of the others. In fact it is almost double the price of the other bicycles. It causes a large increase as a result. Also, I took the quiz.

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