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3 years ago

Which postulate or theorem proves that △ABC and △EDC are congruent?

Mathematics

1 answer:

Lelechka [254]3 years ago

5 0

Answer:

SAS

Step-by-step explanation:

You are already given that two sides are congruent, thus making the "s" part. You can further say that two angles are congruent, due to the verticle angle theorem!

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Find the limit of the function by using direct substitution.

serg [7]

Answer:

Option a.

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

Step-by-step explanation:

You have the following limit:

$\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}$

The method of direct substitution consists of substituting the value of $\frac{\pi}{2}$ in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing $x=\frac{\pi}{2}$

Therefore:

$\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}$

$cos(\frac{\pi}{2})=0\\$

By definition, any number raised to exponent 0 is equal to 1

$\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\$

$\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1$

Finally

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

6 0

3 years ago

What’s the median for 55, 42, 78, 99, 69, 83, 74, 83, 97

soldier1979 [14.2K]

The median of this is 78

8 0

3 years ago

The cells of a bacteria doubles in every 15 minutes. A scientist begins with a single cell. How many cells will be there after (

Anastaziya [24]

Step-by-step explanation:

Given that:-

1 cell = 15 minutes

So, we can concert 15 minutes to hours.

So,

60 minutes = 1 hour

1 minute = 1/60

15 minutes =

$\frac{15}{60} = 0.25 \: hrs$

Okay, now we will apply first for 0.4 hours.

$0.25 \: hrs= 1 \: cell$

$1 \: hr = \frac{1}{0.25}$

$0.4 \: hrs = \frac{0.4}{0.25}$

$= 1.6 \: cells$

$= 16 \times {10}^{ - 1} \: cells$

Now, second one:-

$10 \: hrs = \frac{10}{0.25}$

$= 40 \: cells$

$= 0.4 \times {10}^{2} \: cells$

Hope it helps :D

6 0

3 years ago

Solve the proportion for x.

BabaBlast [244]

The answer for the question is x=1

3 0

3 years ago

2y - 8x - 20<br><br> In slope

lilavasa [31]

Answer:

y=4x+10

Step-by-step explanation:

2y-8x-20=0

2y-8x=0+20

2y-8x=20

2y=8x+20

y=4x+10

Hope that will help!!

8 0

3 years ago