The ASA criterion might be the most appropriate, as it states that two triangles are congruent if two angles and the included side are congruent.
To use a congruence criterion in the given situation, you will need to determine which criterion is most appropriate based on the information provided. There are several congruence criteria that can be used to determine whether two triangles are congruent, including the Side-Side-Side (SSS) criterion, the Side-Angle-Side (SAS) criterion, the Angle-Side-Angle (ASA) criterion, and the Angle-Angle-Side (AAS) criterion.
In this case, the ASA criterion might be the most appropriate, as it states that two triangles are congruent if two angles and the included side are congruent. Given that ∠A=∠C=90∘ and AE=CB, you can use the ASA criterion to conclude that triangles AEB and CED are congruent.
Learn more about the congruence criterion at
https://brainly.com/question/25722234?referrer=searchResults
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The question is -
Which congruence theorem can be used to prove EB = BD, AE = CB, ∠ A = ∠ C = 90°?
Find the perimeter of a triangle with side lengths of 3x, x + 2, and x – 4.
Answer:
5x-2
Step-by-step explanation:
(3x)+(x+2)+(x-4)= 5x-2
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
Subtract -3k from -2k
Answer:
k
Step-by-step explanation:
-3k minus -3k
-2k-(-3k)
-2k+3k
k
. An artist's studio has the shape shown below. What
is the area of the entire floor space?
20 ft
12 ft
6 ft
6 ft
14 ft
Answer: 120960 ft.
Step-by-step explanation:
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Answer: 0.09
Step-by-step explanation:
;)
In ΔEFG, the measure of ∠G=90°, GE = 40 feet, and EF = 44 feet. Find the measure of ∠F to the nearest degree.
Answer:
42°
Step-by-step explanation:
It is always good to draw a picture to help you. In this case
tan F = 40/44
m∠F = arctan (40/44) = 42°
How many tiles will be in figure 100?
NEED THIS ONE asap,
Will give brainlest
Given ABC, what is the value of x?
NEED HELP QUICK!!
Answer:
x = 49
Step-by-step explanation:
AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{28}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8x = 392 ( divide both sides by 8 )
x = 49
Find the length and width of a rectangle with an area of 2x + x - 3.
A. l = 2x + 3; w = x + 1
B. l = 2x + 3; w = x - 1
C. l = 3x + 2; w = x - 1
Answer:
the answer would be B: l = 2x + 3; w = x - 1
Can Someone help me with this problem?
Answer:
6x + 6
Step-by-step explanation:
Perimeter is the total measurement of all the sides
16x + 12 = (6x + 14) + (4x - 8) + (?)
16x + 12 = 10x + 6 + ?
6x + 6 = ?
Please help me with the article help please help me
Answer:
I think it's like this
Article -6
Description: coffee........ gunguli .
who is interested in statistics?
-karen riche at the French National institute of medical research ,whose work appears in journal neurology
who is the audience?
-7000 men's and women's in the three french cities.
what kind of decision one should make after reading this article?
reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.
Description: coffee........ gunguli
(in here write whole sentence I just did in short cut)
Given a function f(x)=|x+1|-|x -2|
How many solutions has f(x) = a, in respect of a?
If a E {-3, 3}, number of solutions is
if a E (-3, 3) number of solutions is
if a E (-infinity, -3) U (3,infinity) number of solutions is
Answer:
Step-by-step explanation:
[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]
[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]
[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]
Answer:
a=(x+1)-(x-2)
=x-x+1+2
a=3
You are sailing your boat in the Chesapeake Bay to Thomas Point Lighthouse. You see a weather buoy, and you
discover that your boat, the buoy, and Thomas
Point form a right angle using your navigational skills.
What is the value of x?
- 20 km
- 8 km
- 12 km
- 17.3 km
Answer:
Answer of this question is 8km
Cecilia has $780 in an account earning 5.2% simple interest. How much more interest would her account earn in 6 years with annually-compounded interest?
Answer:
$1057.3
Step-by-step explanation:
First we'll find the Interest no. 1, which is simple interest, assuming the time 1 year:
S.I= PRT/100
S.I= 780*5.2*1/100
S.I=$40.56
Now we'll find interest no.2, which is compound interest, time is 6 years, Principal amount (780) will remain the same as well as the rate thus (putting in the formula of compound interest- annual- [tex]A=P(1+\frac{R}{100} )^t[/tex]):
[tex]A= 780(1+\frac{5.2}{100})^6[/tex]
A= $1057.3
Help! I'll give 30 points!!!!!!
Answer:
D
Step-by-step explanation:
The plotted points do not follow a general direction and therefore have no correlation
7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
PLS HELP ME ITS MULTIPLE CHOICE
Answer:
8
Step-by-step explanation:
can i have brainliest
Classify the triangle based on its angles
Answer:
Right-angled triangle
Step-by-step explanation:
It has a square angle, meaning it is a right angle, which is [tex]90^{o}[/tex], making it a right angled triangle
IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.
Answer:
19.5°
Step-by-step explanation:
IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.
We solve the question using Sine rule
= a/sin A = b/sin B
= 21/sin E = 63/sin 90
Cross Multiply
Sin E × 63 = 21 × sin 90
sin E = 21 × sin 90/63
E = arc sin( 21 × sin 90/63)
E = 19.47122°
Approximately = 19.5°
Pls help if you can Thx!
Answer:
The Answer Is E!
Step-by-step explanation:
To solve this equation., you have to try every solution and the only one that perfectly completes both statements is answer E.
We subtract the $1.15 from $2.10 if this is the price of one taco, leaving the price of a small cup of coffees price ($2.10-$1.15=$0.95 for a small cup of coffee
To check it fits both statements, we multiply the price of one coffee by 3 ()$0.95×3=$2.85 for three small coffees\
Next, we multiply $1.15 (one taco) by 2 to fill in the expression ($1.15×2=$2.30)
Finally, we add both the prices of the 3 coffees and two tacos which adds up to a perfect $5.15, justifying the answer
A circle has a circumference of 50.24 feet. What is the radius? Use 3.14
8 feet
16 feet
25.12 feet
20.5 feeT
Answer:
r≈8ft
Step-by-step explanation:
C=2πr
r=C
2π=50.24
2·π≈7.99594ft
Please i need help with this one
Answer:
center: (1,4)
radius=3
2 (3m+6) what is the answer?
Answer:
hi
Step-by-step explanation:
2(3m+6)=2×3m+2×6=6m+12
have a nice day
Caleb has 3 packs of colored pencils. Each pack has x pencils in it. After Ryan gives him 6 more
colored pencils, he has a total of 27 pencils.
Answer:
3 × x + 6 = 27 - 6 = 21 divided by 3 = 7 so 7 pencils in each box. 6 divided by 3 = 2 which means 7 + 2 = 9 pencils in the box total after Ryan gives 6 pencils to caleb.
Step-by-step explanation:
Hope this helps :)
A square has an area of 200 square feet. How long is each side in simplest radical form? If I increase the length of each side by 2, what is the new area in simplest radical form?
Answer:
a) 14.14 feet
b) 260.5 square feet
Step-by-step explanation:
A square has an area of 200 square feet.
a) How long is each side in simplest radical form?
Area of a square = (side length)²
Side length = √Area
Side length = √200 square feet
= 14.142135624 feet
≈ 14.14 feet
b) If I increase the length of each side by 2, what is the new area in simplest radical form?
= 14.14 feet + 2
= 16.14 feet
New area = (16.14 feet)²
= 260.4996 square feet
Approximately = 260.5 square feet
6 The floor of a tent is 7 feet by 9 feet. What is the area of the tent floor?
Pls help
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Not the link and if you dont answer, james charles will kiss you in the bed tonight.
What is 5% as a fraction?
Answer:
1/20,2/40
Step-by-step explanation:
James Anderson School has 156 students. Grade 5 has 43 students and grade 6 has 42 students. What equations can be used to find how many students the rest of the school has? Complete the equations. ______x x___ ______y y___
What is the sum of the interior angles of the polygon pictured below?
Answer:
720°
Step-by-step explanation:
Formula for sum of interior angles:
(n - 2) x 180
(6 - 2) x 180
4 x 180
720