please helpppppppppp

1) AE = BD; CD = CE

Given

2) AE = AC + CE

Subtraction Property of Equality

3) AC +CD= BC + CD

Segment Addition Postulate

4) AC +CD= BD

Symmetric Property of Equality

5) BD = AC + CD

Segment Addition Postulate

6) BD =BC+CD

Transitive Property of Equality

7) AC = BC

Substitution Property of Equality

I think this is it

To prove that AC and BC are congruent, all usable postulates and theorems must be stated, with valid reasons.

The proof that [tex]AC \cong BC[/tex] is as follows:

Given:

[tex]AE = BD, CD= CE[/tex]

I've added as an attachment, the table that needs to be completed.

[tex]1.\ AE = BD, CD= CE \to[/tex] Given

Because the given parameters are:  

[tex]AE = BD, CD= CE[/tex]

[tex]2.\ AC \cong BC \to[/tex] Definition of congruence

[tex]3.\ AE =AC + CE \to[/tex] Segment addition postulate

From the attached image, AE is a straight line, and point C is on segment AE.

[tex]4.\ BD=AC +CD \to[/tex] Substitution property of equality

Substitute BD for AE and CD for CE in (2)

[tex]5.\ AC +CD =BD \to[/tex] Symmetric property of equality

The symmetric property of equality states that:

if [tex]a = b[/tex], then [tex]b = a[/tex]

[tex]6.\ BD =BC +CD \to[/tex] Segment addition postulate

From the attached image, BD is a straight line, and point C is on segment BD.

[tex]7.\ AC+CD =BC+CD \to[/tex] Transitive property of equality

The transitive property of equality states that:

if [tex]a = b[/tex] and [tex]b = c[/tex], then [tex]a=c[/tex]

[tex]8.\ AC =BC \to[/tex] Subtraction property of equality

Subtract CD from both sides of (6)

[tex]9.\ AC \cong BC \to[/tex] Proved

Read more about proofs and reasons at:

https://brainly.com/question/11876259

Answer:

1. √121=11 Rational

2. √48=4√3 Irrational

Step-by-step explanation:

1. √121=11 Rational

2. √48=4√3 Irrational

so it is gonna be 24 but if am wrong sorry

Answer:

63

Step-by-step explanation:

Because the two labelled angles make up a line, we know their sum is 180.

So, add them and set them equal to 180:

2x + (x - 9) = 180

Combine like terms:

3x - 9 = 180

3x = 189

x = 63

Thus, the answer is 63.

~ an aesthetics lover

Answer:

A. 60√3 ft²

Step-by-step explanation:

Answer:

6 sheets a minute

Step-by-step explanation:

60 sheets in 10 minutes can be converted to the equation 60/10.

60/10 is equal to 6/1 which can be simplified to 6. So, the answer is 6 sheets per minute.

hope this helps!

Answer:

-7

Step-by-step explanation:

use X to represent the unknown number

(x-16) -6=-138

-138/6= -23

(x-16)=-23

add 16 to both sides

x= -7

Julio's number is -7

you can also plug it back into the formula to prove it is right

Answer:

I think I got linear function on 3 and 2 I got 56.42 but I think that's wrong but yeah sorry.

Step-by-step explanation:

Answer:

Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3),  which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).

Step-by-step explanation:

looked it up and got it right on edg 2020

Answer:

Sample Response: Yes, if you change the type of compound inequality, the solution set will change. The solution set of the “and” compound inequality contains values for x that satisfy both inequalities, which are values between –3 and 3. The solution set of the “or” compound inequality contains values for x that satisfy either or both inequalities, which includes all real numbers.

Step-by-step explanation:

Answer:

Using front estimation, the cost of all the items is $450 and it will take 9 months to save enough

Step-by-step explanation:

Here, firstly we want to use front-end estimation to estimate the cost of all the items.

So we want to use front end estimation to add;

325 + 53 + 33 + 71

Thus; 325 becomes 300, 53 becomes 50, 33 becomes 30

while 71 becomes 70

So the estimated total will be;

300 + 50 + 30 + 70 = 450

Now , since he saves $50 per month, the number of months it will take = 450/50 = 9 months

Answer:

25° and 65°

Step-by-step explanation:

1. 65°-25°= 40°

2. 90°-65°=25°

3. 90°-25°=65°

Therefore 25° and 65° fit the criteria, make sure to add the degrees symbol :)

Complementary angles have a sum of 90° thus measure of the first and the second angle is 25° and 65° respectively.

Angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Let's suppose the first angle is x while the second is y.

If two angles have a sum of 90° then they will be called as complementary angles since x and y are complementary.

x + y = 90

Now given that,

The measure of the first angle is 40° less than the measure of the second.

x = y - 40

x - y = -40

By adding both equations,

(x + y) + (x - y) = 90 + (-40)

2x = 50

x = 25

y = 90 - 25 = 65

Hence "The first and the second angle is 25° and 65° respectively".

For more about the angle,

brainly.com/question/13954458

#SPJ2

Answer:

Allison's table is not  proportional

Step-by-step explanation:

Casey's is proportional because all her numbers are x30

Answer:casey

Step-by-step explanation: do 150 divided by 5 =30 and do the same for the rest

Answer:

80

Step-by-step explanation:

Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.

Answer:

D) |−8,000 − (−50)|

Step-by-step explanation:

When we are dealing with questions involving above or below sea level,

The formula for the Absolute value expression representing the distance = | Height above sea level -(Distance below sea level|

Height of Cameron above sea level = 8000ft = -8000

Distance of the whale below sea level = 50ft = -50

Hence, we have:

|−8,000 − (−50)|.

Option D is the correct option

Answer:

The vast majority of Americans – 96% – now own a cellphone of some kind. The share of Americans that own smartphones is now 81%, up from just 35% in Pew Research Center’s first survey of smartphone ownership conducted in 2011. Along with mobile phones, Americans own a range of other information devices. Nearly three-quarters of U.S. adults now own desktop or laptop computers, while roughly half now own tablet computers and roughly half own e-reader devices.

Step-by-step explanation:

Answer:

Here:

Step-by-step explanation:

35.13% of people have cellphones in the world.

Answer:

x = 77

61 + 42 = 103

180 - 103 = 77

Answer:

Step-by-step explanation:

B

Answer:

3.75

Step-by-step explanation:

Answer:

4m+3

Step-by-step explanation:

Apples- $4 each

PB Jar- $3

We know that he bought one jar of PB but we don't know how many apples. We can represnt the amount of apples by m

that would be:

4m+3

Answer:

if c = 4, it is 1/4 of a

Step-by-step explanation:

if c = 4,

b = c + 4 = 4 + 4 = 8

b = 8

a = b + 12 = 8 + 12 = 20

20/4 = 5

if c = 4, it is 1/4 of a

Answer:

C

Step-by-step explanation:

0.38 = 19/50

Hope this helps!

Answer:

19/50

Step-by-step explanation:

19×100=1,900

1,900÷50=38%

Answer:

I think it may be six , but I may be wrong

Step-by-step explanation:

Answer:

sixths

Step-by-step explanation:

Remember the denominator is the number you are dividing the pieces into. Thats why we call it a di"vid'end.

Answer:

7x^2-20

Step-by-step explanation:

Answer:

1. -2

2.-10

Step-by-step explanation:

Answer:

Answer:

f=

5

x

Step-by-step explanation:

Let's solve for f.

fx=

2x

x

+3

Step 1: Divide both sides by x.

fx

x

=

5

x

f=

5

x

Given:

The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).

To find:

The point which lies on the graph of [tex]y = a(x-2)^2+c[/tex].

Solution:

Consider the given equations are

[tex]y_1 = ax^2+c[/tex]     ...(i)

[tex]y_2 = a(x-2)^2+c[/tex]      ...(ii)

The translation is defined as

[tex]g(x)=f(x+a)[/tex]

where, a is horizontal shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

From equation (i) and (ii), it is clear that a=-2. So, graph of [tex]y = ax^2+c[/tex] shifts 2 units right to get the graph of [tex]y = a(x-2)^2+c[/tex].

It means each point on [tex]y = ax^2+c[/tex] shifts 2 units right.

[tex](x,y)\to (x+2,y)[/tex]

(2, 14) lies on [tex]y = ax^2+c[/tex].

[tex](2,14)\to (2+2,14)[/tex]

[tex](2,14)\to (4,14)[/tex]

Therefore, (4,14)  must be lies on [tex]y = a(x-2)^2+c[/tex].