Answers
Given:
[tex]\overline{AE}\cong \overline{DE}, \overline{AB}\cong \overline{DC}[/tex]
To prove:
[tex]\Delta ABE\cong \Delta DCE[/tex]
Solution:
In triangle AED,
[tex]\overline{AE}\cong \overline{DE}[/tex]
Two sides of triangle AED are equal, it means triangle AED is an isosceles triangle. The base angles of an isosceles triangle are equal. So,
[tex]\angle A\cong \angle D[/tex]
In triangle ABE and triangle DCE,
[tex]\overline{AE}\cong \overline{DE}[/tex] (Given)
[tex]\angle A\cong \angle D[/tex] (Base angles of an isosceles triangle are equal)
[tex]\overline{AB}\cong \overline{DC}[/tex] (Given)
Two corresponding sides and their included angles are congruent. So, triangles are congruent by SAS postulate of congruence.
[tex]\Delta ABE\cong \Delta DCE[/tex] (By SAS postulate of congruence)
Hence proved.
Related Questions
How to play the full song fires edge on bb clarinet (actual notes)
Answers
Answer:
cool
Step-by-step explanation:
4
What is the result of 2-10?
.
1
5
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Answer:
-3.14530027393739338363829263839
-Step-by-step explanation:
PLEASE HELP ME!
Solve: system by elimination form
1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------
Answers
x=6.5
....
The difference between 3 times a number x and 2 is 19. What is the value of x?
Answers
Answer:
The answer is 7
ASAP! Which side lengths form a right triangle?
Choose all answers that apply:
Answers
Answer:
c
Step-by-step explanation:
4^2+7.5^2=8.5^2
Can someone answer this question please ASAP
Answers
Answer:
x = 2
Step-by-step explanation:
Walmart is selling 100 mL tubes of toothpaste for $1.79 or 150 mL of toothpaste for $2.19. Which is the better buy?
Answers
Answer:
1.79/100mL = 0.0179
2.19/150mL = 0.0146
so, look at the end numbers
0.0179
0.0146
0.0146 is less than 0.0179
soo, $2.19 / 150mL = 0.0146 is the better buy...
can i be brianiest...
no joke i will give brainliest and thanks for the asnwer and go 5 star all ur past answers if u get this correct pls dont do wrong answers
Answers
Answer:
PR = PQ and ST = UT.
If this is not correct then:
PR = 8 ans UT = 2z+3
Step-by-step explanation:
I don’t know this one pls help me
Answers
Answer:
-3, 6
Step-by-step explanation:
The solution is where the two lines intersect.
Answer:
should be (-3,6)
Step-by-step explanation:
Z-8-22
z equals what
Answers
Answer:
z=30
Step-by-step explanation:
Hello!! I have a question, can you please answer it. ^^
The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.
a. What is the largest number of kits the nurse can make?
b. How many bandages and lozenges will be in each kit?
Answers
Answer:
1. 75
2. 1
Step-by-step explanation:
Please help I'm really bad at math. I will mark you brainliest if you get the answer right.
Answers
Answer:
A & D
Step-by-step explanation:
A. 9(3x-1) = 27x-9 ✔
B. 27x-1(9) = 243x-9 ❌
C. 27(x-9) = 27x-243 ❌
D. 3x-1(9) = 27x-9 ✔
E. 9(27x-1) = 243x-9 ❌
F. x-9(27) = 27x-243 ❌
Put the following numbers in order from least to greatest 6.-3, 0, 4.-5
Answers
Answer:
-5, -3, 0, 4, 6
Step-by-step explanation:
Answer:
-5,-3,6,4,0
Step-by-step explanation:
I just did least to greatest
a cars value starts at $32,000. After 1 year, it is worth $27,200. What is the decay factor?
Answers
Answer:
15% × 7 = 1.05
32,000 - 1.05 = 31,998.95
31,998.95 ‐‐‐‐‐> 31,999
$31,999
(If you don't need to simplify, the answer would be $31,998.95, but I did it just incase you do)
Step-by-step explanation:
a) 82
b) 42
c) 98
d) 70
Answers
Answer:
option d.
let the two angle of mnp be x and y
in the trapezoid NO and MP are parallel.
so the 28° = y and 42°=x(by alternate interior angle)
so the angle mnp= x+y
angle mnp=28°+42°=70°
How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 inches and height of 5 1/2 inches?
Answers
Answer:
Step-by-step explanation:
Remark
I'm going to assume that the edges of the cubes are 1/2 inch on each side.
V = 1/2 * 1/2 * 1/2 = 1/8 cubic inches.
Volume of the box
V = L * w * h
Givens
L = 2 inches
w = 3.5 inches
h = 5.5 inches
Solution
V = L * w * h
V = 2 * 3.5 * 5.5
V = 38.5
1/8 has the decimal equivalent value of 0.125
Number of cubes needed = Volume of the box / volume of the cube
Number of cubes needed = 38.5 / 0.125
Number of cubes needed = 308
..................Help please!
Answers
Answer:
with
Step-by-step explanation:
what
Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems
Answers
Answer:
52 minutes
Step-by-step explanation:
it takes him 13 minutes to complete 5 so if he wants to do 20 problems do 20 divided by 5 (4) then do 13 times 4=52
help me i dont understand this
Answers
Answer:
there monthly budget is $4000
Step-by-step explanation:
if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100% and 40x100=4000 so 100% of there budget is $4000
hope this helps have a blessed day :)
High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?
Answers
Answer:
18.5 in approx
Step-by-step explanation:
Given data
aspect ratio of 16: 9
L= 16in
W= 9 in
We want to find the diagonal of the TV
applying Pythagoras theorem
d^2= l^2+w^2
d^2= 16^2+ 9^2
d^2=256+81
d^2= 337
d= √337
d= 18.35 in
Hence the tv is 18.5 in approx
Mrs. Trainer baked 120 cookies. She decided to give 1/6 of them to her students. How many did she take to her students?
Answers
Answer:
20
Step-by-step explanation:
120/6=20
20x1=20
Answer:
20 cookies
Step-by-step explanation:
What we know:
- Mrs. Trainer baked 120 cookies
- 1/6 of the 120 cookies went to her students
To find the number of cookies that Mrs. Trainer gave to her students, multiply 120 by 1/6.
[tex]120*\frac{1}{6}\\= \frac{120}{6} \\[/tex]
Simplify the fraction
[tex]= 20[/tex]
Therefore, Mrs. Trainer gave 20 cookies to her students.
I hope this helps!
Which of the following results in the difference of two squares?
a. (7x - 3y)^2
b. (4x - 9y)(4x - 9y)
c. 5x^2(4x - 3)
d. (2x + 8y)(2x - 8y)
Answers
Answer:d
Step-by-step explanation:
What is the greatest common factor (GCF) of 12x and (3x^2 + 6x)?
(B) 3x
(C) X + 2
(D) 3x(x + 2)
(A) 3
Answers
Please do number 16 for me.
Answers
Answer: m∠5 = 75°.
Step-by-step explanation:
We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.
We know that:
"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"
Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)
Then the measure of ∠1 is the same as the measure of ∠5
And we know that m∠1 = 75°
Then we must have that m∠5 = 75°.
What is 10x+ 5y =30 in function form
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Please Solve so i can complete!!!!!!!! Quick Fasts
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Can you help me pls and thank you
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Answer:
80%
Step-by-step explanation:
If you do 4 divided by 5 it equals 0.8, which is 80%
Answer:
The answer is 80%
Step-by-step explanation:
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Answers
Answer:
53 + 67 + x = 180
Step-by-step explanation:
Answer:
180 = 53 + x + 67
(A straight line equals 180°)
good luck, hope this helped :)
How many minutes are in nine and one fourth hours?
Answers
Answer:
555 minutes
Hope this helps!
Answer:
555 9x60=540
540+15=555 there is your answer
remember that 1/4 of an hour is fifteen minutes
pls mark brainliest
Step-by-step explanation:
Someone please help :( ?????