On a number line, the coordinates of X, Y, Z. and Ware-7. -5.2, and 4, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.

XY and ZW

The length of XY is (Type an integer or a decimal.)

The length of ZW is (Type an integer or a decimal)

Answers

Answer 1

Answer:

[tex]XY = 2[/tex]

[tex]ZW = 2[/tex]

XY and ZW are congruent

Step-by-step explanation:

Given

[tex]X = -7[/tex]

[tex]Y = -5[/tex]

[tex]Z = 2[/tex]

[tex]W = 4[/tex]

Distance XY is calculated as thus:

[tex]XY = |X - Y|[/tex]

[tex]XY = |-7 - (-5)|[/tex]

[tex]XY = |-7 + 5|[/tex]

[tex]XY = |-2|[/tex]

[tex]XY = 2[/tex]

Distance ZW is calculated as thus:

[tex]ZW = |Z - W|[/tex]

[tex]ZW = |2 - 4|[/tex]

[tex]ZW = |-2|[/tex]

[tex]ZW = 2[/tex]

[tex]XY = ZW = 2[/tex]

Hence:

XY and ZW are congruent


Related Questions

WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.

Answers

Answer:

2 errors in step 3 -15 + 7 = -8 not +22

also a negative devided by a postive is a negative (the x on the last step)

Step-by-step explanation:

If f(x) = 2x - 5, then f(4) is _____.

A.17

B.3

C.4

D.5

Answers

Answer: B). 3

f(x) = 2(4) - 5
8 - 5 = 3

Answer:

it is b

Step-by-step explanation:

f(4)= 2(4)-5

f(4)=8-5

f(4)=3

Find the missing terms: 19, _, _, _, -13

Answers

Answer:

-5,3,11

Plus 8 or subtract 8

Step-by-step explanation:

-13 + 8= -5

-5+8= 3

3+8=11

11+8=19

or

19-8=11

11-8=3

3-8=-5

-5-8= -13

Hope that helps :)

Please help, which expression is equivalent to....

Answers

Answer:

a

Step-by-step explanation:

Write the following equation in vertex form by completing the square.
f(x) = -x2 – 8x +5

Answers

Answer:

the vertex form is -1(x+4)-11

Step-by-step explanation:

i attached my work

PLEASEEE HELPP



Alexis has $345 in her savings account and will deposit $15 each week. Alexis will not withdraw any money from her savings account. After how many weeks will she have $1,035 ?​

Answers

Answer:

46 weeks

Step-by-step explanation:

1. 1305-345= 690

2.690/15=46

Answer:

46 weeks

Step-by-step explanation:

15*46

=690

690+345

=1035

The tables show the statistics of a running back in a football game did he gain more than 50 yards total? Explain .

Answers

Answer:

He gained more than 50 yards in the game.

Step-by-step explanation:

Running back in the first quarter in a football game = -8.5 yards

Running back in second quarter = 23 yards

Running back in 3rd quarter = 42.5 yards

Running back in 4th quarter = -2.25 yards

Total gain in the game = -8.5 + 23 + 42.5 - 2.25 = 54.75 yards

That means he gained more than 50 yards in the game.

Find the value of x.

Answers

Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

help me find the slope!

Answers

Answer:

b

Step-by-step explanation:

i think

Answer is B

Explanation: If you use the formula rise/run you would see the rise is -3 and the run -4 which could give you -3/4

What is the answer to 4x+8+6x+12=85

Answers

Answer:

= 10x + 20

Step-by-step explanation:

If I helped may I get brainliest?

Answer:

x=6.5

Step-by-step explanation:

1. simplify the equation to 10x + 20 +85

2. minus 20 from both sides to get 10x =65

3. divide 10 from both sides

4. x= 6.5

hope this helps!

Find the slope of the line that passes through:
(-4,7) and (-6, -4)

Answers

Answer:

[tex]\frac{11}{2}[/tex] or 5.5

Step-by-step explanation:

In order to find the slope of a line using two points on a graph, you must use

[tex]y_2-y_1/x_2-x_1[/tex]

Pluging in the points (-4,7) and (-6, -4) to the formula you will get:

[tex]\frac{-4-7}{-6+4} =\frac{-11}{-2} =5.5[/tex]

The equation for the line would be [tex]\frac{11}{2}[/tex]x+29

which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers

Answers

Answer: 21

Step-by-step explanation: I got it right

fat help me fast help

Answers

false because the mountain was created with the North not the South plate.

Plz help I will give Brainliest

−1/3(p+9)≤4

The / is not a division sign -1/3 is a fraction.

Answers

Answer:

p [tex]\geq[/tex] -21

Step-by-step explanation:

It is the inequality for p

Which atom or ion is the largest?
ОА. К
ОВ. к*
ОС. Са
гO D.
Са2+
O E. Li

Answers

Answer:

o.a k

Step-by-step explanation:

The rectangle below has a perimeter of 120 inches. (2x is the length and X is width) What is the measure of the width, x, of the rectangle?

Answers

Answer:

x = 20

Step-by-step explanation:

2x + 2x + x + x = 120

6x = 120

x = 20

What is the difference between a frown and a smile? Describe what a relaxed face looks like

Answers

Answer:

Both are facial expressions bu a frown is with the eyebrows together and forehead wrinkles and usually the person is wooried or sad and a smile is formed primarily by flexing the muscles at the sides of the mouth.

Step-by-step explanation:

If the radius of a circle is twice as great as
the radius of a smaller circle, how many
times as large will the area of the greater
circle be than the area of the smaller circle?

Answers

Answer:

how many times larger? 4 times as large

Step-by-step explanation:

if the radius is half as big as the diameter and the diameter is half of the area

r x r = d

d x d =  a

A radio station sells buttons and bumper stickers at a local fair the buttons cost $2.95 each and the bumper stickers cost three dollars and 50 Cent each new radio station sells the most for $162 worth of buttons and bumper stickers if it’s represents the number of buttons and white represents the number of button bumper stickers which equality represents the scenario

Answers

Answer:more information plssss

Step-by-step explanation:

1 2/3 + 4 1/3 equals?

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Prime numbers have ________.

Composite numbers have ________.

The number 1 is ________.

Answers

Answer:

1:eaxctly two factors  2:more than two factors  3:neither prime nor composite

Step-by-step explanation:

I GOT IT RIGHT!

Answer:

Answer time!!

1. exactly 2 factors

2. more than 2 factors

3. niether prime nor compisite

Is this relation a function? LES
7
я
12
15
Yes
ОО
No

Answers

Answer:

yes

Step-by-step explanation:

A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.

A 2-column table with 9 rows. Column 1 is labeled number of free throws made with entries 0, 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Probability with entries 0.002, 0.008, 0.04, 0.12, 0.23, 0.28, 0.21, 0.09, 0.02.

What is the standard deviation of the distribution?

1.18
1.40
1.96
2.58

Answers

Answer:

its b

Step-by-step explanation:

just took the quiz

Answer:

standard deviation of the distribution is 1.40

Step-by-step explanation:

-1 TIMES the ABSOLUTE VALUE of -24 =
will give brainliest !!!!!

Answers

Answer:

-24

Step-by-step explanation:

absolute value of -24 would make it +24

-1 times 24 is -24

Answer: -24

Step-by-step explanation:

The absolute value of a number is how far away the said number is from zero, so -24's would be 24.

24 x -1 = -24

Image included this problem requires no work pls help 20 POINTS

Answers

Answer:

The slope is 2 and the y-intercept is -2. a)

Step-by-step explanation:

Hope this helps!!!!!

Please please help will give brainliest!!

Answers

Answer:

c = 13

Step-by-step explanation:

In a rectangle the diagonals bisect each other, thus

FG = FI , substitute values

7c - 67 = c + 11 ( subtract c from both sides )

6c - 67 = 11 ( add 67 to both sides )

6c = 78 ( divide both sides by 6 )

c = 13

Answer:

c = 13

Step-by-step explanation:

We know FG and FI are equal to each other because F is the cross section of a rectangle.

FG = 7c - 67

FI = c + 11

FG = FI

7c - 67 = c + 11 Add 67 to each side so it will cancel on the left

7c = c + 11 + 67

7c = c + 78 Subtract c from each side so it cancels on the right

7c - c = 78

6c = 78 Divide each side by 6

6c/6 = 78/6

c = 78/6

c = 13

Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a​ master's degreee. To achieve this​ goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.

a. After 5 ​years, you will have approximately= ​$

​(Do not round until the final answer. Then round to the nearest dollar as​ needed.)


b. The interest is approximately= ​$


​(Use the answer from part a to find this​ answer.)

Answers

Answer: a. After 5 ​years, you will have approximately= $ 6,850.43 .

b. The interest is approximately =$ 1850.43

Step-by-step explanation:

Given: Principal amount (P) =  $5000

Rate of interest (r)= 6.5%  = 0.065

n= 1  (compounded annually)

a) Time (t) = 5 years

Formula for accumulated amount  :

[tex]A=P(1+\dfrac rn)^{nt}[/tex]

Then,

[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]

Hence, After 5 ​years, you will have approximately $ 6,850.43 .

b) Compound interest = A-P

= $ 6,850.43 - $ 5,000

= $ 1850.43

Hence, The interest is approximately $ 1850.43.

WILL GIVE BRAINLIEST!!!!!!!!
Use 2 to 3 sentences to name the two pairs of alternate interior angles and explain the difference between alternate interior and alternate exterior angles.

Answers

Answer:

2 and 7 are alternate interior, along with 5 and 4. They are inside the space created by the parallel lines. 1 and 8 are alternate exterior, along with 6 and 3. They are outside the space created by the parallel lines.

Difference:

Alternate exterior angles are created in the space outside the parallel lines on alternating sides; interior angles are created in the space inside the parallel lines.

I hope this helped, please mark Brainliest, thank you!

Explain if it has the same answer: 6(9) = 6(5) + 6(4)

Answers

Answer:

54 does equal 54. So this problem is true

Step-by-step explanation:

6*9=54

6*5=30

6*4=24

30+24=54

54 does equal 54

Answer:

it has the same answer because 6(5)+6(4)=6(9) so they are the same

Step-by-step explanation:

copy and paste that ;)

HELP ME WITH QUESTION 8 EASY 10 POINTS

Answers

Answer: 9

Step-by-step explanation:

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