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lara31 [8.8K]
1 year ago
9

What other information do you need to prove ΔABE is congruent to ΔEDA by SSS?

Mathematics
1 answer:
Stels [109]1 year ago
7 0

To prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

What is an equilateral triangle?

A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Here, we have

AEC is a triangle in which B∈ AC and D∈ EC

Such that,

∠ABE = 90°,

∠ADE = 90°,

Also, BC = CD

Now, we have to prove that :

Δ ABE is congruent to Δ EDA

Proof :

If EAC is an equilateral triangle,

By the property of an equilateral triangle,

EA = AC = EC

If AC = EC

AB + BC = ED + CD

AB + CD = ED + CD

AB = ED

Also, AE = AE ( common segment )

Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,

Then, the other legs must be equal,

That is, BE = DA,

Hence, by the SSS postulate of congruence,

Δ ABE ≅ Δ EDA

Hence, to prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

To learn more about the equilateral triangle from the given link

brainly.com/question/15294703

#SPJ4

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Peoples Bank offers 8% compounded continuously on CDs What amount invested now grow to 100,000 in 25 years Hint the continuous c
sleet_krkn [62]

Given:

Rate of interest = 8% compounded continuously.

Amount = 100,000

Time = 25 years

To find:

The principal value.

Solution:

Formula for amount after continuous compound interest:

A=Pe^{rt}

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting A=100000, r=0.08, t=25 in the above formula, we get

100000=Pe^{0.08(25)}

100000=Pe^{2}

\dfrac{100000}{e^{2}}=P

\dfrac{100000}{7.389056}=P

On further simplification, we get

P\approx 13533.528

Therefore, the amount 13533.528 is invested.

3 0
3 years ago
Im in 6th grade and my homwork asks What is 5+6-18+694*88/92+33-11*2,515-55+45*6=? I need help.
just olya [345]

It's -26760.173913043


5 0
3 years ago
Is 2x + y = 5 linear
frutty [35]
Yep! the plotted points are (2,1) and (0,5) the slope is -2
7 0
3 years ago
Ises: 1. Directions: Express in factor form a
frosja888 [35]

Answer:

10 x 10 x 10 x 10 x 10 = 100000

6 x 6 x 6 = 216

4 x 4 x 4 x 4 = 256

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024 / or if the number was 21 x 0  then the answer = 1

Step-by-step explanation:

I already wrote the explanation in the answer but I'm guessing the number you put beside the first number is the exponent. So as you can see 73 = 7 mulitiplying by itself 3 times. The number 3 is an exponent because it tells you how many times you're multiplying the number by itself. If you continue doing that then you will get the same answer as I did. Good luck!

6 0
2 years ago
Which ordered pair makes both inequalities true?
Tatiana [17]

The ordered pair which makes both inequalities true is: D. (3, 0).

<h3>How to determine ordered pair?</h3>

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

3 0
2 years ago
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