We know in these kind of triangles that have a 90 degrees angle, we can do:

so the first question:

and then:

so , when you want to rationalize , usually you must multiply the irrational factor as 1:

so , now multiply:

in the next question,we know negative numbers in radical don't have any solution so 2 is correct,
Answer:
<em>55mph
. None of the options are correct
</em>
Step-by-step explanation:
If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;
v is the speed
t is the time taken
Hence;
v = k/t with k being the constant of proportionality.
Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:
55 = k/5
Cross multiply
k = 55*5
k = 275
Hence, to calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t as shownl
v = 275/5
v = 55 mph
<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>
27 + <u> </u><u>x</u><u> </u> = 46
x = 46 - 27
x = 19 <u> </u><u>Ans</u><u> </u> .
A rhombus is considered a parallelogram since a parallelogram is defined as any figure having four sides with opposite sides parallel. <span>On a basic parallelogram, opposite angles are congruent. Therefore, the correct answer to the given statement above would be TRUE. Hope this answer helps. </span>
Answer:
Step-by-step explanation:
She poured ⅔×2 = 4/3 qt into the second bottle.
Her bottle holds 2×4/3 = 8/3 qt