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
what% of $700,000 = $525,000
Answers
Answer:
$525,000/$700,000×100%=75% is required %.
A caterpillar eats 1400\%1400%1400, percent of its birth mass in one day. The caterpillar's birth mass is mmm grams.
Which of the following expressions could represent the amount, in grams, the caterpillar eats in one day?
Choose 2 answers:
sorry, I just copied and pasted and it gave me extra numbers.
by the way, this is for khan academy
Answers
Answer:
I d k
Step-by-step explanation:
Answer:
The correct answer is B and E.
Step-by-step explanation:
I did it in Khan Academy.
WHAT IS THE VALUE OF X PLEASE HURRY!!!!
Answers
Answer:
I think 48, since it's an equilateral triangle.
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
cuz its a equilateral triangle
Which set(s) of numbers does 81−−√ belong to? Choose all that apply Natural numbers
Natural numbers
A Whole number
B Integers
C Rational Numbers
D Irrational Numbers
Answers
Answer:
All of the above
Step-by-step explanation:
what is 2 times 5 minus 1
Answers
what is 2 times 5 minus 1?
9
A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this year is $9,400. How much did the car cost 2 years ago?
Answers
Answer:
The answer is 11,374
Step-by-step explanation:
First we find 5% of 9,400 is.
9,400 * 5% = 470
Next we add 9,400 with 470 then multiply by 20%
9,400 + 470 = 9,870
9,870 * 20% = 1974
Next we add.
9,870 + 1,974 = 11,374
So, the answer is 11,374
Hope this helps! :)
Select all the expressions that are equivalent to -90x+60.
A:-10(9x-6)
B:10(-9x+6)
C:30(-3x+2)
D:-10(9x+6)
E:-30(-3x+2)
Answers
Answer:A, B and C
Step-by-step explanation:
i need help please!!
Answers
100+480= 580
What is 6.9-(-5)+4.1
Answers
Answer:
16
Step-by-step explanation:
6.9+5+4.1
11+5
16
pls thanks
Answer:
16
Step-by-step explanation:
Recall that the product of a negative number and another negative number is a positive number. Thus, -(-5) = +5, and the original expression becomes
6.9 + 5 + 4.1.
Combining the mixed numbers 6.9 and 4.1, we get 11.
Combining 11 and 5 results in 16.
If there are 17 teachers, how many students are there?
Answers
Answer:
is there anymore to that question
Step-by-step explanation:
can yall help me 17 = x - 28?
Answers
Answer:
Step-by-step explanation:
For an algebra question like this you are trying to solve for the x.
The way you do that is to get x by itself.
So with
17 = x - 28
The step you want to do is to add 28 to both sides.
17 + 28 = x - 28 + 28
This makes makes the equation
17 + 28 = x
45 = x
Answer:
35
Step-by-step explanation:
Let's solve your equation step-by-step.
17=x−18
Step 1: Flip the equation.
x−18=17
Step 2: Add 18 to both sides.
x−18+18=17+18
If you could live anywhere, where would it be?
What is your biggest fear?
Answers
Answer:
A forest and a Lion and a bear
Step-by-step explanation:
Answer:
a tropical island
Step-by-step explanation:
cuz their is farm equipment know as a
i would like to know this question and can you show your work to so I can understand
Answers
Answer:
162
Step-by-step explanation:
a=[tex]\frac{a+b}{2} h[/tex]
a=base and the base is 13 ft.
b= also means base which is 23 ft.
h= height which is 9 ft.
so 13+23 is 36
36/2 is 18
and 18 times 9 is 162
sorry for the lengthy answer but i hope this helps :) have a nice day !!
Write the following expression in expanded form 3(4y+x-8)
For example: 5(x+2) in expanded form would be 5x+5*2.
Answers
Answer:
12y+3x-24
Step-by-step explanation:
-2(x-4)=4 can x=2 be the solution
Answers
Answer:
Step-by-step explanation:
-2x + 8 = 4
-2x = 4 - 8
-2x = - 4
x = - 4/-2 = 2
replace x with 2 on the equation
-4-4=4
so answer is no
-8=4 not possible
Which is heavier?
.93 kg
900 grams
12500 decigrams
1,380,000 milligrams
Answers
Hope that helps :)
Find the value of a in the parallelogram shown to the right note that the figure is not drawn to scale
Answers
Step-by-step explanation:
2a+26°+58°=180°
2a=180-26-58
2a=96
a=48
2*48+26=122
Given :
▪︎Measure of an angle in a parallelogram = 58°
▪︎Measure of the angle opposite this angle = (2x+26)°
We know that :
▪︎Opposite angles in a parallelogram are equal.
Which means :
[tex] =\tt 2a+ 26 = 58[/tex]
[tex] =\tt 2a = 58 - 26[/tex]
[tex] =\tt 2a= 32[/tex]
[tex] =\tt a = \frac{32}{2} [/tex]
[tex]\hookrightarrow\color{plum}\tt a = 16[/tex]
Thus, the value of a = 16
Let us now place 16 in the place of a and check whether or not we have found out the correct value of a:
[tex] =\tt 2 \times 16 + 26 = 58[/tex]
[tex] = \tt32 + 26 = 58[/tex]
[tex] =\tt 58 = 58[/tex]
Since the values in both the side match, we can conclude that we have found out the correct value of a.
▪︎Therefore, the value of a = 16
HELPPP PLEASE!!!! HELP
Answers
2 x=7
3 t=3
B1 x=3
2 x=2
3 z= √6
The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
Answers
Answer:
x+3y-10=0 I hope it helps you
2x = 2y - 6 and y = x - 2
Answers
Answer:
2x=2y-6 equals x-y=-3 and y=x-2 equals x=2
Step-by-step explanation:
i hope this helps
Simplify the expression.
- 2.7f +0.31 - 14 – 5,
Answers
Answer:
Step-by-step explanation:
−2.7f+0.31−14−5
=−2.7f+0.31+−14+−5
Combine Like Terms:
=−2.7f+0.31+−14+−5
=(−2.7f)+(0.31+−14+−5)
=−2.7f+−18.69
Answer:
=−2.7f−18.69
K is between P and Q. Suppose PQ- 10x - 16, PK - 6x + 8, and KQ-8. What is PQ?
Answers
Answer:
PQ = 64
Step-by-step explanation:
PQ = PK + KQ
10x - 16 = 6x + 8 + 8
10x - 16 = 6x + 16
4x = 32
x = 8
PQ = 10(8) - 16
= 80 - 16
= 64
I need help with this please
Answers
a 5/18
b 1/2
c 5/9
d 9/10
Answers
Answer:It should be 5/9 as its the only one that is probable,
Step-by-step explanation:
If its not 1/2 its not 9/10 so that automautically declines 2 answers leaving 5/18 and 5/9. And 5/18 is way to little for a 36 to 20 ratio, so that leaves 5/9.
Solve for b.
b = ✓ [?]
Enter the number
that goes beneath
the radical symbol.
9
16
b
3
Answers
Answer:
b =✓45
Step-by-step explanation:
9^2-6^2
√45
b= ✓45
A rafter makes an angle of 28° with the horizontal. If the rafter is 15 feet long, what is the height at the rafter's peak? Draw a diagram.
Answers
The height is 7.04 feet at the rafter's peak that makes an angle of 28° and 15 feet long.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Given that,
Length of rafter = 15 feet,
Angle made by rafter with the horizontal = 28°
Apply sin formula to determine the length x of the rafter,
sinθ = x / 15
sin28° = x / 15
0.469 = x / 15
x = 7.04
The height of the rafter is 7.04.
To learn more about Angle on :
https://brainly.com/question/28451077
#SPJ2
I need help ASAP , I don’t understand this
Answers
Answer:
can't see, the pic is too blurry
Find the length of ab!!!!
Answers
Answer:
6.4
Step-by-step explanation:
Using Pythagorean theorem (a^2+b^2=c^2), 4^2+5^2=41. The square root of 41 is 6.4.
Solve
(0.54 x 0.28)+(0.46 x 0.41)
Answers
Answer:
Step-by-step explanation:
0.3398
Answer:
Answer vary :
0.3398
Step-by-step explanation:
honestly in my opinion that’s my answer.
1. multiply (0.54 times 0.28) = 0.1512
2. multiply (0.46 times 0.41) = 0.1886
3. add 0.1512 + 0.1886 = 0.3398
and that’s how I did it.
three to the fifth power
answer please
Answers
Answer:
243
Step-by-step explanation:
Answer:
243
Step-by-step explanation: