write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.
Answers
Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.
What is the SSS Congruence Theorem?The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.
We are given the following information:
AB ≅ EDCA ≅ CEAC bisects BDSince AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.
Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.
Therefore, ΔABC ≅ ΔEDC by SSS Congruence Theorem.
The two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.Learn more about the SSS Congruence Theorem on:
https://brainly.com/question/19262620
Related Questions
Does each relation represent a function? Choose Yes or No.
(1, 3), (2, 5), (2, 7), (4, 9)
(1, 3), (2, 5), (3, 7), (4, 9)
(1, 3), (1, 5), (1, 7), (1, 9)
(1, 3), (2, 3), (3, 3), (4, 3)
Answers
Answer:
No, Yes, No, Yes
Step-by-step explanation:
A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)
1.
List of inputs: 1, 2, 2, 7
List of outputs: 3, 5, 7, 9
For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function
2.
Inputs: 1, 2, 3, 4
Outputs: 3, 5, 7, 9
Each input only has one output, so this is a function
3.
Inputs: 1, 1, 1, 1
Outputs: 3, 5, 7, 9
For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function
4.
Inputs: 1, 2, 3, 4
Outputs: 3, 3, 3, 3
Each input is only mapped to one output, so this is a function
If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?
Answers
The three consecutive terms in an AP are (k+1) ,3k and (4k+2)
We know that
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
now ,
Let a = k+1 , b = 3k and c = 4k+2
⇛3k = (k+1+4k+2)/2
⇛3k = (5k+3)/2
⇛2×3k = 5k+3
⇛6k = 5k+3
⇛ 6k-5k = 3
⇛ k = 3
The value of k = 3
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the first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?...
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the sum of three consecutive odd integers is 129. find the integers
Answers
Answer:
[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]
Step-by-step explanation:
Let the three consecutive integers be x, x + 2 and x + 4
So, the given condition is:
x + x + 2 + x + 4 = 129
3x + 6 = 129
Subtract 6 to both sides
3x = 129 - 6
3x = 123
Divide 3 to both sides
x = 123/3
x = 41
So, the integers are:
x = 41
x + 2 = 41 + 2 = 43
x + 4 = 41 + 4 = 45
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Cheyenne is on her school swim team.
She has won 6 of her 15 events so far
this year. Which equation can be used
to determine how many events she will
need to win in a row to have an overall
win rate of 75%?
Answers
The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,
The number of matches Cheyenne needs to win = 75% of 15
= 11.25 ≈ 12 events
Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.
Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.
Learn more about Equation:
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Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Use pencil and paper. Explain how you can use mental math to find the slope of the line. (please show how to do on pencil and paper)
Answers
Answer:
[tex]m = 2[/tex]
Step-by-step explanation:
Using mental math to find the slope of the line:
If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:
(0, 0)
(4, 8)
As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)
Complete the following sentence (select all that apply). The expected count of females who are not pierced is what we would expect to see in the sample if ___________________________. Group of answer choices gender and piercing were significantly related. gender and piercing are independent. the null hypothesis is true. the null hypothesis is not true.
Answers
The statement that completes the blank is (c) the null hypothesis is true.
In sampling techniques, the expected count of a variable is dependent on the null hypothesis.
This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.
This in other words, means that the complete statement is:
The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.
Read more about null hypothesis at:
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Question 1
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
b. What does the coefficient of the expression in part (a) represent?
Answers
Answer:
1a. 195x
1b. 195
Step-by-step explanation:
1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.
1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient
hope this helps!
Mark me as brainiest if you can
2
The triangle is reflected across the w-axis and then reflected across the r-axis.
What are the coordinates of p' the image of P after the reflections?
OA (3)
OB (3,4)
O a. 3.
O D. (4, -3)
Answers
Answer:
Step-by-step explanation:
P = (-4, 3)
Reflecting across the y axis negates the x value
P₁ = (4, 3)
Reflecting across the x axis negates the y value
P' = (4, -3)
option D
The following system of linear equations is solved by graphing them on the coordinate plane.
y=3x−2y=−35x−1
Which ordered pair is the best approximation of the solution to the system?
(0,−1)
(−1,0)
(−1,−1)
(1,1)
Math lol
Answers
Answer:
(0, -1)
Step-by-step explanation:
Maybe you're graphing ...
y = 3x -2y = -3/5x -1These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).
2cosAcosB =
• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)
Answers
Answer:
2cosAcosB = cos( A + B ) + cos( A - B )
what is the answer to the following?
9+(60x8)-120?
80(50-24)+20?
Answers
Answer:9+(60x8)-120= 369
80(50-24)+20= 126
Step-by-step explanation:
Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the infinite and finite geometric series.
9. The first 9 terms of 12, – 6 ,+ 3, - …
10. The first 15 terms of -1, + 1, -…
11. The first 6 terms of 1, + 3, + …
12. The first 10 terms of 2, – 4, + …
Answers
Answer: 11
Step-by-step explanation:
9. The Sum of 9 terms is 513/64.
10. The sum of 15 terms is -1.
11. The sum of 6 terms is 364
12. The sum of 10 terms is -682.
We have,
Sn =a (1 - [tex]r^n[/tex] ) ÷ (1 – r)
9. 12, -6, 3, .....
Here, r= -6/ 12= -1/2
So, S(9)
= 12 (1- [tex](-1/2)^9[/tex])/ (1 - (-1/2))
= 513/ 64
10.-1, +1, -.....
Here, r= 1/ (-1)= -1
So, S(15) = 1 (1- [tex](-1)^{15[/tex])/ (1 - (-1))
= -1
11. 1, 3, .....
Here, r = 3/1 = 3
So, S(6) = 1 (1- [tex](3)^{6[/tex])/ (1 - 3)
= 364
12. 2, -4, ...
Here, r= (-4)/ 2= -2
So, S(10) = -682
Learn more about Geometric Sequence here:
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which coasts the most per disk a 10 pack for 5.99 , a 25 pack for 12.50 or 50 pack for 18.75
Answers
Answer:
25 disc for 12.50 is the most.
Step-by-step explanation:
You would have see how much each cost for one.
1. 10 for 5.99.
5.99 ÷ 10 is 0.599. So basically .60 cents.
2. 25 for 12.50.
12.50 ÷ 25 is 2. So basically 2 dollars per disc.
3. 50 for 18.75
18.75 ÷ 50 is 0.375. So basically .38 cent.
Now compare them.
1. 0.60
2. 2
3. 0.38
25 disc for 12.50 is the most.
If a line crosses the y-axis at (0, -3), what is the y-intercept?
Answers
Answer:
Isnt it -3?
Step-by-step explanation:
What is the value of y in the solutions of the system of equations: 3x + 4y = 3 and 2x – 4y = 12?
Answers
Answer:
y = -3
Step-by-step explanation:
3x + 4y = 3
2x - 4y = 12
5x = 15 Add the two equation together because the y terms are
opposite each other and goes out when you add the equations
x = 5
Substitute into the first equation and solve for y when x = 5
3x + 4y = 3
3(5) + 4y = 3
15 + 4y = 3
4y = 3 - 15
4y = -12
y = -3
Step 1) Solve the second equation for
y
2
x
+
y
=
−
8
−
2
x
+
2
x
+
y
=
−
2
x
−
8
0
+
y
=
−
2
x
−
8
y
=
−
2
x
−
8
Step 2) Substitute
(
−
2
x
−
8
)
for
y
in the first equation and solve for
x
:
−
3
x
+
4
y
=
12
becomes:
−
3
x
+
4
(
−
2
x
−
8
)
=
12
−
3
x
+
(
4
×
−
2
x
)
+
(
4
×
−
8
)
=
12
−
3
x
+
(
−
8
x
)
+
(
−
32
)
=
12
−
3
x
−
8
x
−
32
=
12
(
−
3
−
8
)
x
−
32
=
12
−
11
x
−
32
=
12
−
11
x
−
32
+
32
=
12
+
32
−
11
x
−
0
=
44
−
11
x
=
44
−
11
x
−
11
=
44
−
11
−
11
x
−
11
=
−
4
x
=
−
4
Step 3) Substitute
−
4
for
x
in the solution to the second equation at the end of Step 1 and calculate
y
:
y
=
−
2
x
−
8
becomes:
y
=
(
−
2
×
−
4
)
−
8
y
=
8
−
8
y
=
0
The Solution Is:
x
=
−
4
and
y
=
0
Or
(
−
4
,
0
)
72 is 45% of what number?
Answers
Answer:
160
Step-by-step explanation:
we have, 45%×x = 72
or, 45÷100×x = 72
multiplying both side by 100 and diving both side by 45,
we have x= 72×100÷45
x= 160 ANSWERPleaseeeee help ASAP thank youuu!!!!!!!
Answers
Substitute the given value of x into the equation 3x+2y+z=13
Substitute the given value of x into the equation 2x+y+3z=9
Simplify the expression
Substitute the given value of x into the equation -y+9z=1
Solve the equation for y
Substitute the given value of y
Simplify the expression
(x,y,z) = (5,-1,0)
How do you divide 35 and 97.3
Answers
Answer:
To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.
What’s the answer to the equation
Answers
Answer:
To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!
Pls help me find the value of x
Answers
Answer:
x = 3
Step-by-step explanation:
2x+6=x+9 subtract x in both sides
x +6 =9 subtract 6 in both sides
x = 3
here what one is right?
Answers
Answer:
B.
Step-by-step explanation:
A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 
Answers
there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles
there are 18 marbles in total
8/18
Answer:
1/9 or 11.1%
Step-by-step explanation:
16 out of 18 are red
1/8 are red plastic
16/18 x 1/8 = 16/144 or 1/9
Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same. Please select the best answer from the choices provided A B C D
Answers
Answer:
answer B
Step-by-step explanation:
becuase b is bad for you
X- y = -7 slope intercept form
Answers
Answer:
[tex]y=x+7[/tex]
Step-by-step explanation:
Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:
[tex]x+7=y \rightarrow y=x+7[/tex]
If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.
Answers
Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
⇛(2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ----------Eqn(1)
11 = a-3b
⇛ a-3b = 11 ------Eqn(2)
⇛ a = 11+3b-------Eqn(3)
On substituting the value of a in Eqn(1) then
⇛ 2(11+3b) + b = 1
⇛(2×11)+(2×3b) + b = 1
⇛ 22 +6b+b = 1
⇛ 22+7b = 1
⇛ 7b = 1-22
⇛ 7b = -21
⇛ b = -21/7
⇛ b = -3
On substituting the value of b in Eqn(3) then
⇛ a = 11+3(-3)
⇛ a = 11-9
a = 2
Therefore, a = -3 and b = 2
Answer:-The value of (a,b) for the given problem is (-3,2).
mZLOM= 3x – 15°
mZMON = 5x – 23°
Find mZMON:
Answers
Answer:
57
Step-by-step explanation:
Together both angles equal 90
(3x - 15) + (5x -23) = 90
Combine like terms
8x - 38 = 90
Add 38 to both sides
8x = 128
Divide by 8
x = 16
You can check by replacing x with 16 and seeing if it still equals 90.
To find angle MON... replace x with 16
5(16) - 23
Angle MON = 57
I hope this helps!!
please help me do this question
Answers
Answer:
hope you understand my answer:)
Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list
Answers
Answer:36 is this 2nd grade?
Step-by-step explanation:
Ignore blue circles pls help guys!!
Answers
Answer:
y = 40 , 32 , 56 , -32 , -72
Step-by-step explanation:
Plug your x into your equation for the answer.
Brainliest would be appreciated. :-)
solve the equation 0.35(x + 4) 0.2
Answers
Answer:
7 • (x + 4)
———————————
100
Step-by-step explanation:
0.2" was replaced by "(2/10)". 2 more similar replacement(s)
STEP1: 1
Simplify 1
-
5
Equation at the end of step1:
35 1
(——— • (x + 4)) • —
100 5
STEP2:
7
Simplify ——
20
Equation at the end of step2:
7 1
(—— • (x + 4)) • —
20 5
STEP3:
Equation at the end of step 3
7 • (x + 4) 1
——————————— • —
20 5
STEP4:
Final result :
7 • (x + 4)
———————————
100
