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Elan Coil [88]
1 year ago
5

What theorem is used to prove △ABC≅△DEC given that C is the midpoint of EB?

Mathematics
1 answer:
sergiy2304 [10]1 year ago
8 0

The theorem is used to prove △ABC≅△DEC is Side-Angle-Side(SAS) theorem

The two triangles are

△ABC and △DEC

Here we have to prove that the △ABC and △DEC are congruent

It is given that

The length of AC = The length of CD

The angle ACB = The angle ECD

The point C is the midpoint of EB

Therefore,

The length of BC = The length of EC

Therefore, the two sides and one angle of triangle ABC is equal to the two sides and one angle of triangle DEC, so the both triangles are congruent by SAS rule

Hence, the theorem is used to prove △ABC≅△DEC is Side-Angle-Side(SAS) theorem.

Learn more about congruence of triangle here

brainly.com/question/20521780

#SPJ1

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Find all the number in the set that are less than -7.

The 'bigger' the negative number seems, the smaller it is.

So -15, -10.5, and -7.2 are all less than -7.
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3 years ago
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A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to
s2008m [1.1K]

Answer:

Part 1 : A=250 e^{-0.008223t}

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

A=A_0 e^{kt}

If t = 0 min, A = 250 grams,

250=A_0 e^{0}

\implies A_0 = 250

If t = 250, A = 32 grams,

32 = A_0 e^{250k}

32 = 250 e^{250k}

0.128 = e^{250k}

Taking ln both sides,

\ln(0.128) = 250k

\implies k =\frac{\ln(0.128)}{250}=-0.008223

Hence, the equation that shows this situation,

A=250 e^{-0.008223t}

Part 2 : If A = 250/2 = 125,

125 = 250 e^{-0.008223t}

0.5 = e^{-0.008223t}

Taking ln both sides,

\ln(0.5) = -0.008223t

\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84

Therefore, the half life of the substance would be 84 minutes.

8 0
3 years ago
Ari thinks the perfect milkshake has 3 ounces of caramel for every 5
tangare [24]

Answer:

A - They Have Too Much Caramel

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Ari likes 3 oz caramel for 5 scoops ice cream.

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Divide both amounts of Freeze Zone by 2.

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Since Ari likes 3 oz caramel for 5 scoops ice cream,

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Answer: A - They Have Too Much Caramel

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I need help with this, 70 points, whoever helps I’ll give Brainly
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Answer:

Step-by-step explanation:

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Ruby plans to make 3 quilts per month until she makes 15 quilts. She figures this will take 1/5 month. Which is NOT a reason why
pashok25 [27]

Answer: c)She should have multiplied 15 by 3 instead of dividing.


Step-by-step explanation:

Number of quilts Ruby plan to make in one month= 3

which means if Ruby makes more than 3 quilts, the time will be more than 1 month.

To find the number of months to make 15 quilts, she need to divide 15 by 3

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Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5  month she would make fewer than 3 quilts.

She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.

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4 0
3 years ago
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