In the figure shown, what additional information is needed to show that △ABC≅△DEF by SSS?
Enter your answers in alphabetical order.
Answers
Answer:
Step-by-step explanation:
They're asking for what other information is needed.
We were given triangle ABC is congruent to triangle DEF. We know for certain line AB and line DC are congruent to each other as well as lines BC and EF.
The additional information we need to know is if line AC is congruent to line DF to absolutely be sure.
Remember SSS by definition is: Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other. If all three sides in one triangle are the same length as the corresponding sides in the other, then the triangles are congruent.
SSS congruence of triangles is proved when all three sides of considered two triangles are congruent(that is, of equal measures).
Thus, the needed answer is:
Line segment DF is congruent to line segment AC
or [tex]\overline{DF} \cong \overline{AC}[/tex]
What is SSS congruence of triangles?If two considered triangles have corresponding side pairs congruent(for all three sides), then both the triangles are congruent. This proof of congruence is triangle is done by SSS congruence of triangles (Side Side Side congruence)
Since it is given that the sides CB and FE are congruent,
and since it is given that sides AB and DE are congruent too,
thus, for SSS congruence of both considered triangles, we need the third side pair of the given triangles to be congruent too.
Thus, we need the line segment DF congruent to the line segment AC.
We can write it symbolically as:
[tex]\overline{DF} \cong \overline{AC}[/tex] (remember that order doesn't matter here. You could've written [tex]\overline{AC} \cong \overline{DF}[/tex] too.)
Learn more about SSS congruence of triangles here:
https://brainly.com/question/4280133
Related Questions
In AEB,CD is parallel to AB. Complete each proportion please help!!!!!!!!!!!!
Answers
Answer:
see explanation
Step-by-step explanation:
Given a line CD parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally, thus
(a)
[tex]\frac{EC}{CA}[/tex] = [tex]\frac{ED}{DB}[/tex]
(b)
[tex]\frac{EC}{EA}[/tex] = [tex]\frac{ED}{EB}[/tex]
(c)
[tex]\frac{EB}{ED}[/tex] = [tex]\frac{EA}{EC}[/tex]
(d)
[tex]\frac{DB}{EB}[/tex] = [tex]\frac{CA}{EA\\}[/tex]
Vivian earned $540 last month. She saved 30% of this money. How much did she save?
Answers
Answer:
$162
Step-by-step explanation:
Step 1: Multiply 540 by .3 (convert 30% to a decimal)
540 x 0.3= 162
how many days till christmas???
Answers
Answer:
43 days till CHRISTMAS
solve the equation pls and ty
Answers
Answer: No real solutions.
HELPPPPPPPPP ASAPPP!!!!!!!!
Answers
Answer:
A is correct
3.75x 1^5 is also written as 375000
Divide 375000 by 75 and u get 5, 000
5 times 10^3 is also 5000
therefore A is correct
Step-by-step explanation:
Answer:
5000 or A. 5 x [tex]10^{3}[/tex]
Step-by-step explanation:
3.75 x [tex]10^{5}[/tex] = 375000
375000/75 = 5000
1. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt. Which company should they use?
a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.
b. What is the constant of proportionality of Value T’s and More? What does it represent?
c. How much is Print-o-Rama’s set-up fee?
d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.
Answers
Answer:
the numbers are missing here, so I looked for a similar question:
Print-O-Rama
# shirts total cost
10 $95
50 $375
a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.
Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts
b. What is the constant of proportionality of Value T’s and More? What does it represent?
$8 per t-shirt
f(c) = $8t
the function of total cost = $8 times the number of t-shirts ordered
c. How much is Print-o-Rama’s set-up fee?
using the high-low method
variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt
fixed cost (set-up fee) = $375 - (50 x $7) = $25
d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.
purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655
purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720
you should purchase the t-shirts at Print-o-Rama since the cost is lower.
Calculate the density: Object 1: has a mass of 45 g and a volume 3.5 ml Object 2: has a mass of 18 g and a volume of 9 ml
Answers
Answer:
Step-by-step explanation:
um im confused
help asap! ill give the best to person who explains it clearly
Answers
Answer:
The answer is D.
Step-by-step explanation:
First, you have to find the area of circle using the formula :
A = π × r²
A = π × 3²
A = 9π
Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :
A = (θ/360) × π × r²
A = (60/360) × π × 3²
A = 1.5π
Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :
A = (9π × 2) - (1.5π × 2)
A = 18π - 3π
A = 15π
130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The
(incomplete) results are shown below:
Cumulative Frequency
# of times floss per week
0
1
12
Frequency
12
21
13
Relative Frequency
0.0923
0.1615
0.1
0.1385
33
2
46
64
20
0.1538
100
0.1308
117
0.1
130
Answers
Answer:
a. The answers obtained are as follows:
Frequency for flossing 7 times per week = 24
Relative frequency for flossing 4 times per week = 0.1231
Cumulative Frequency at flossing 1 time per week = 22
b. The Cumulative Relative Frequency at flossing 7 time per week is 100%.
Step-by-step explanation:
Note: This question is not complete and the data in it are merged together. The complete question is therefore provided with the sorted data before answering the question. See the attached pdf file for the complete question.
The explanation to the answers is now provided as follows:
a. Complete the table (Use 4 decimal places when applicable)
Note: See part a of the attached excel for the complete table (answers are in bold red color)
Frequency is the rate at which something or an event occurs in a particular sample.
Since we already have frequency for others flossing times per week and we have 130 adults as the sample, the frequency for flossing 7 times per week is calculated by deducting the frequencies of others from 130 as follows:
Frequency for flossing 7 times per week = 130 – 10 – 12 – 14 – 18 – 16 – 21 – 15 = 24
Relative Frequency refers to the fraction of times an event occurs. The relative frequencies in this question are calculated by dividing each frequency by the total number of adults in the sample, i.e. 130. The relative frequency for flossing 4 times per week is therefore calculated as follows:
Relative frequency for flossing 4 times per week = Frequency for flossing 4 times per week / Total number of adults in the sample = 16 / 130 = 0.1231
Cumulative Frequency is calculated by adding the current frequency to the previous Cumulative Frequency. The Cumulative Frequency at flossing 1 time per week is therefore calculated as follows:
Cumulative Frequency at flossing 1 time per week = Cumulative Frequency at flossing 0 time per week + Frequency at flossing 1 time per week = 10 + 12 = 22
b. What is the cumulative relative frequency for flossing 7 times per week? %
Note: See part b of the attached excel for the complete table (answer is in bold red color)
The cumulative relative frequency refers to the accumulation of the previous relative frequencies.
Cumulative Relative Frequency is calculated by adding the current relative frequency to the previous Cumulative Relative Frequency. It should be noted that the first cumulative relative frequency equal to the first relative frequency.
The Cumulative Relative Frequency at flossing 7 time per week is therefore calculated in the attached excel file as follows:
Cumulative Relative Frequency at flossing 1 time per week = Cumulative Relative Frequency at flossing 6 times per week + Relative Frequency at flossing 7 times per week = 0.8154 + 0.1846 = 1.0000
Since the question indicates that the Cumulative Relative Frequency at flossing 7 time per week should be stated in percentage term, we therrefore have:
Cumulative Relative Frequency at flossing 7 time per week = 1.0000 * 100 = 100%.
PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!
Answers
Answer:
the picture is really blurry i cant see anything
Step-by-step explanation:
Circle B has a radius of 7 and its center is located at (2,5).
Circle H has a radius of 13 and its center is located at (9,-4).
Circle B and circle H _______________ similar.
A. No answer text provided.
B. cannot be determined to be
C. are
D. are not
Answers
Answer:
C. Circle B and circle H are similar.
Step-by-step explanation:
From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.
In consequence, we conclude that correct answer is C.
Carmen drew this figure to represent the dividend of a division expression.
A number line going from negative 4 to positive 12. An arrow goes from 0 to 9.
What number is represented by the arrow?
–9
0
1
9
Answers
Answer
D:9
Step-by-step explanation:
i took the test and got it right
Answer:
D- 9
Step-by-step explanation:
good luck :)
if the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?
Answers
Choose the representations or descriptions that model the relation provided in each item. For each relation, select all situations that apply.
x -2 0 2 4
f(x) 4 0 4 16
a The relation is a function.
b f( x) = -2 x
c f(4)= -2
d domain: {-2, 0, 2, 4}
e The relation is not a function.
f f( x) = x2
Answers
It is B and D because it is the only one that matches the input and outputs. D shows a perfect graph of the points while B shows the points themselves. They cannot be a linear function since they are not linear so it is not E or F.
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
Step-by-step explanation:
Sorry I'm late I hope that helps:)
A stockbroker claimed that the value of a stock, v(t), was expected to grow according to v(t)=5,000(2)t, where t is the time in years. Which of these is the best interpretation of what this function represents?
Answers
Answer:
the answer is b
= given an initial investment of $5,000, the value of the stock is expected to double every year.
Step-by-step explanation:
I just know
Hopefully it helps
help me on my math pwease
Answers
Answer:
Part a: C
Part b: 2x34
d=68
Step-by-step explanation:
Are the statements about the graph of function f true or false?
Answers
Answer:
Step-by-step explanation:
1). For a point (0, -15),
Here x = 0, so the piece of function that applies,
f(x) = 4x - 15 (Since, x = 0 lies in the range -2 ≤ x < 4)
= 4(0) - 15
= -15
True.
2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2
= 4x - 15 for -2 ≤ x < 4
Which shows a gap between these graphs.
Therefore, graph has a discontinuity at x = -2
True.
3). For x > 4,
f(x) = [tex]3^{x-4}[/tex]
For every input value of x in the interval (4, ∞), output values of the function will be increasing.
So this option is TRUE.
4). In the interval (-12, -2),
Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]
Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).
In this graph value of function first increases then decreases.
So the answer is FALSE.
5). Since, input values of the function 'f' varies from (-∞, ∞)
Therefore, domain of the function will be (-∞, ∞)
TRUE.
Answer:
-True
-True
-True
-False
-False
Step-by-step explanation:
Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.
Make sure your questions are listed in the same order before submitting your answer.
I need a check so just want some help
Answers
Answer and Step-by-step explanation:
We are told that AB is equal to 3x + 1.
BC is then half of AB, or [tex]\frac{3x+1}{2}[/tex].
AC is then 4 less than BC, or [tex](\frac{3x+1}{2} ) - 4[/tex]
To find the perimeter, we add all of these together.
3x + 3x/2 + 3x/2 = 6x
1 + 1/2 + (1/2 - 4) = -2
The final answer is 6x - 2.
#teamtrees #WAP (Water And Plant)
Parallel Lines Transversal Puzzle Activity gina wilson
Answers
Answer:
What
Step-by-step explanation:
Eukaryotes have a nucleus, and prokaryotes have a nucleoid. (4 points) True False
Answers
Answer:
false
Step-by-step explanation:
prokaryotes dont have any nucleous or nuclieiod
Answer:
TRUE
Step-by-step explanation: Prokaryotic cells dont have a nucleus that contains their genetic material as eukaryotic cells do, instead they have a nucleoid region, which is an irregular-shaped region that contains the cell’s DNA.
Identify the real and imaginary parts of the given number. Then identify whether the number belongs to each of the following sets: real numbers, imaginary numbers, and complex numbers.
−9 + 9i
The real part of −9 + 9i is ____ and the imaginary part is ____.
The number −9 + 9i belongs to which of the following sets. Select all that apply.
A real numbers
B imaginary numbers
C complex numbers
See image.
Answers
Answer:
-9 is real, 9i is imaginary, C
Step-by-step explanation:
-9 is real because you can literally draw nine things.
9i is imaginary because i is √-1 and square roots of negatives are imaginary.
It is complex because complex expressios are written as a+bi.
Convert this fraction into a decimal.
6
10
=
How do you turn 6 over 10 into a decimal
Answers
A 40-degree angle is translated 5 inches along a vector
Answers
Answer :need the options you choose frome
Step-by-step explanation:
distribute -x(7x+3).
Answers
Answer:
-7x^2-3x
Step-by-step explanation:
-x * 7x + (-x) * 3
-7xx-3x
-7x^2-3x
Giving Brainlest to the person who explains how to get the right answer !!!!
Food poisoning strikes 76 million people in America each year and kills about 5,000 people each year. What is the the percentage of food poisoning victims who die from food poisoning each year
Answers
Answer:
300 million
Step-by-step explanation:
Answer:
5,000 people = 1520000%
Step-by-step explanation:
Simplify.
Look at the picture
Answers
Answer:
1397.970007
Step-by-step explanation:
ill give a brainliest if you can answer all three :))
Answers
Answer:
4. A
8. D
9. B
Step-by-step explanation:
4. started with 10 points: +10
lost 20 points: -20
won 45 points: +45
10-20+45
8. 11-(-8)
=19
9. 100-(-50)-2
=150-2
=148
PLS GIVE BRAINLIEST
Answer:
4 is A ; 8 is D ; 9 is B
Step-by-step explanation:
PLS GIMME BRAINLIEST
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What is the measure of angles 3?
4. What is measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answers
2) 85
3)63
4)20
5) same number across from each other I forgot what that was called
Answer:
bla bla bal bala bla bla bla bla hahahahhahahahhhehehhehehehheheh joke png
What is 8^3 * 7^-3 simplified?
Answers
Answer:
Exact form: [tex]\frac{512}{343}\\[/tex]
Decimal Form:1.4927
Mixed Number Form: 1 [tex]\frac{169}{343}[/tex]
Brainliest please