Answer:
See below.
Step-by-step explanation:
1.) 5√6
2.) 6√2
3.) 3√7
To solve this without the use of a calculator, split the given number into a series of products (numbers multiplied) and look for pairs.
Look at the attached example of Problem 1 to get a better idea of what I mean.
Answer:
The proof is below
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of a parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
Answer:
What is the car's rate in kilometers per minute?

How many kilometers will the car travel in 5 minutes?

Step-by-step explanation:
If we know:

And there are 60 minutes in an hour:

We can do:

From here, we figure out the distance from minutes:

Answer:

Step-by-step explanation:
We want to rewrite the following as a single logarithm:

We introduce logarithm in the first term to get:

Recall that:

We apply this property to get:

This gives:



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