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tankabanditka [31]
3 years ago
14

8^(x+4)=2^x..........

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

Step-by-step explanation:

x = 0

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
3 years ago
Read 2 more answers
How to round $45.71 to the nearest dollar
fgiga [73]
Since .7 is above 5.

$45.71 would turn to $46.00.

You would round 45... the 5 to 6...

To be $46
7 0
3 years ago
Read 2 more answers
What is 2 times 2/6?
Aloiza [94]

Hi there!


I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!


So, the steps are:


Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.


\frac{(2)(2)}{6} This is what it should look like.


Now, what is 2 times 2? You can use a calculator for this part.


2 *2 = 4


Now, we can get to the last part, my favorite one!


Simplify \frac{4}{6} down to \frac{2}{3}.


How did we do it? EASY!


See what number does evenly into both numerators and denominators. In this case, 2 goes into 4 twice, and 2 goes into 6 three times, so we're left with our beautiful answer \frac{2}{3}.


That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D

4 0
3 years ago
Read 2 more answers
How many solutions does the equation 5x + 10 = 5x - 8 have?
andrew-mc [135]

Answer:

2 solutions

Step-by-step explanation:

5x+10=5x-8

5x-5x=8-10

=-2

5x+10=5x-8

10+8=5x-5x

=18

3 0
3 years ago
PLEASE HELP WITH MATH ASAP!!!!!! WILL GIVE BRAINLIEST!!!!!
ArbitrLikvidat [17]
What is the question that you need help with?
3 0
3 years ago
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