Included sides AE and BE need to be given as congruent to prove that triangle AEC is congruent to triangle BED by the Angle-Side-Angle (ASA) Congruence Theorem.
According to the Angle-Side-Angle (ASA) Congruence Theorem, if two angles and an included side of a triangle is congruent to corresponding two angles and an included side of another triangle, both triangles can be proven to be equal or congruent to each other.
We are know the following from the given image:
<AEC = <BED (vertical angles are congruent)
<EAC = <EBD (congruent angle)
This implies that two angles (<AEC and <EAC) in triangle AEC are congruent to two corresponding angles (<BED and <EBD) in triangle BED.
Therefore, to prove that both triangles are congruent by ASA, we need to be given that the included sides AE and BE are congruent.
Learn more about Angle-Side-Angle (ASA) Congruence Theorem here:
https://brainly.com/question/23968808
simplify 6 (3 5/6 - 1 1/4)
Answer:
Step-by-step explanation:
6(3 5/6 -1 1/4)
3 5/6 - 1 1/4 =
3 10/12 - 1 3/12 =
2 7/12 * 6 =
(24+7/12 =
31/12*6)
186/12=
15 1/2
(12*15 =180 186-180=6 [15 6/12 = 15 1/2])
Edit: Steps janky
Select all that apply
Answer:
For both sets of data, the median is equal to the mean.
The interquartile range (IQR) is greater for M's classes than J's classes.
Step-by-step explanation:
J's Classes:
23, 25, 27, 28, 32
Median: 27
Mean: 27
Mean Absolute Deviation: 2.4
Interquartile Range: 3
M's Classes:
20, 24, 26, 29, 31
Median: 26
Mean: 26
Mean Absolute Deviation: 3.2
Interquartile Range: 5
What is the exact volumchof the cylinder? Enter your answer in terms of t, in the box
Step-by-step explanation:
Solution,
Radius=5 cm
Height=15 cm
Volume of a cylinder=πr²h
=22/7×(5)²×15
=1,178.571429
Step-by-step explanation:
Volume of cylinder = πr²h
Volume = π × (5)² × 15
Volume = π × 25 × 15
Volume = π × 375
Volume = 375π cm³
How mang feet are in 3.76 km? Show ur solution
formula: multiply the value in kilometers by the conversion '3280. 839895
Step-by-step explanation:
so, 3.76 kilometers =3.6× 3280. 839895 =12335.96 feets
please help 16 points
complete the table using the rule and sketch the graph on the axis
Answer:
Down
Step-by-step explanation:
Convert 1.05 to a fraction
-21/20 is the answer
Mark me Brainlliest
May your day goes good
Answer:
105/100
21/20
Step-by-step explanation:
if it is wrong sory
HELP PLEASE I NEED IT BY TOMORROW!!! WORTH 50 points
Answer:
I hope it will help you a lot.
Which is an algebraic expression for 5 more than z?
5z
z + 5
5z + 5
5 - z
Answer:
it's B
Step-by-step explanation:
your taking z but it's saying it's five more
Is 5.083 (the 3 is repeating) a rational number?
Answer:
yes it should be. any repeting decimal not equal to zero is rational
george had $6.20 less than Jerry . After Jerry spent $15.60 , George had 4 times as much money as Jerry (a) How much money did George have ? (b)How much money did the 2 boys have at first ?
Answer:
George had $10.95
Jerry had $17.15
Maya is mixing cups of pretzels and cups of cashews in a ratio of 3:2. She made a table of equivalent ratios to represent the situation.
Answer:
12,1.5,60
Step-by-step explanation:
Maya is mixing cups of pretzels and cups of cashews in a ratio of 3:2. She made a table of equivalent ratios to represent the situation. Fill in the blanks to complete the table. If the quantity is not a whole number, enter a decimal.
Pretzels (cups) Cashews (cups)
3 2
18
12
A
1.5
B 1
90
60
C
PLSS HELP ASAP!!!
I need to know where she went wrong in solving the equation
If ABC measures 90°, what is the measure of Ac?
A. 270°
90°
B. 90°
А
B
C. 45°
D. 180°
Answer:
A)270°
Step-by-step explanation:
Hi!
If this is a measures. We know that; this measures total depress is 360°.
So we can do this:
360° - 90°= 270°
Option B is correct, if ABC measures 90°, then the measure of arc AC is 90 degrees.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that ABC measures 90°
We have to find the measure of arc AC.
Arc is the part or segment of the circumference of a circle which is drawn between two points and an angle and length of arc is known as arc length.
The measure of an arc is equal to the measure of the central angle that intercepts it".
We have θ = 90⁰
From the above mentioned statement i.e.,
"The measure of an arc is equal to the measure of the central angle that intercepts it".
We can say that the measure of arc AC is 90 degrees.
Hence, If ABC measures 90°, then the measure of arc AC is 90 degrees.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
6. Find the quotient.
7 1/6 divided by 5/9 =?
Answer:
12.9
Step-by-step explanation:
7 1/6. / 5/9.
=43/6. / 5/9
=reciprocate to multiplication
=43/6. * 9/5 6 cancel 9
=43/2. *. 3/5
=12.9
-28 + 2x = -18
x=? Solve for x
Answer:
x = 5
Step-by-step explanation:
-28 + 2x = -18
-18 + 28 = 10 / 2 = 5
Answer:
5
Step-by-step explanation:
2 x 5 = 10
-28 + 10 = -18
so the answer is 5
What is 5y - 4 (x-y)
Answer:
− 4 + 9
Step-by-step explanation:
If x is 6, then 7x = ?
Answer:
42
Step-by-step explanation:
x=6
7x=?
7x= x*7
7x=6*7
7x=42
So the answer is 42,
Hope this helps!
Which two statements are both true?
An art teacher is distributing supplies for the community center art class. Every fourth student gets a tube of paint. Every seventh student gets a pack of crayons.
Which student is the first person to get both paint and crayons?
The __th student gets both supplies.
Answer:
28th
Step-by-step explanation:
4*7=28.
Need help on this one please help thank you I don’t get it
Answer:
g(x) = -2x - 2
Step-by-step explanation:
g(x) = f(x) - 1
= -2x - 2 {the pattern of function graph moving up and down}
how to round this because i am confused: 132 how did we get 11.5 isn't it supposed to be only 11 because 2 is less than 3 so 11 how did we get the .5
Answer:
110
Step-by-step explanation:
132.
if it is 4 or lower it goes down if its 5 or more u round up. see its simple
Which expressions are equivalent to 4(-5z+2)+(-6)
please help
Answer:
None of the above please
Ten times the sum of twice a number six. Please show the steps and explain<333
Answer: 120!
Step-by-step explanation:
6 + 6 = 12
12 x 10 = 120
If the sum is twice the sum of 6 you would add 6 twice and then you would multiply 12 times 10.
Hope i helped! <333
The endpoints of ST are - 6 and 2. Find the coordinate of the midpoint M.
The coordinate of the midpoint M is what?
Answer: -2
Step-by-step explanation:
The coordinate of the midpoint M is - 2
The endpoints of ST = - 6 and 2
The midpoint M, can be obtained using the relation :
M = (x1 + x2) / 2
The endpoints x1 = -6 and x2 = 2
Hence, M = (-6 + 2) / 2
M = - 4 / 2
M = - 2
The midpoint is - 2
Learn more : https://brainly.com/question/13133371?referrer=searchResults
a sports car accelerates from rest to 26.8m/s 60 mi/h) in 5.1 seconds what is the acceleration of the car
Answer:
136.6 m per second squared
Step-by-step explanation:
acceleration = change in velocity×time
= 26.8×5.1
=136.6 m per sec squared
On a number line, suppose point E has a coordinate of -3 , and EG=7. What are the possible coordinates of point G?
If G is to the right of E, add the total length to point E:
G = -3 + 7 = 4
If G is to the left of E subtract the total length from E:
G = -3 -7 = -10
The possible coordinates are -10 or 4
ôn tập tập xác định của hàm số lượng giác
Step-by-step explanation:
what is this unnecesssary question
MAKE ME BRAINLIST
Find the perimeter. Simplify your answer.
4y-5
10y-4
7y+8
74-5
(10y - 4) + (7y + 8) + (7y - 5) + (4y - 5) =
= 10y - 4 + 7y + 8 + 7y - 5 + 4y - 5 =
= 10y + 7y + 7y + 4y - 4 + 8 - 5 - 5 = 28y - 6
Please give an explanation as well as an answer :)
Answer: It is 10 because there are 2 other faces and 8+2=10
Step-by-step explanation: