Triangle mrn is created when an equilateral triangle is folded in half.

what is the value of x?

2 square root 3 units
4 units
4 square root 3 units
8 units

answer:

step-by-step explanation:

we know that

the equilateral triangle has three equal angles and three equal sides

in the right triangle nrs

> equation a

in the right triangle nrm

> equation b

equate equation a and equation b

in the right triangle nrm

applying the pythagoras theorem

we have

substitute

find the value of rm

in the given figure triangle srn ~   triangle smr.

the measure of the altitude drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse .hence rs is the geometric mean of ms and sn.

or

in right   triangle srm pythagoras theorem can be applied to find x

x=4 units.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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