Answer:
Therefore the value of tangent of ∠
is
°.
Step-by-step explanation:
Given that,
In Δ
, ∠
°,
and 
and we have to find the value of tangent of ∠
Diagram of the given triangle is shown below:
Now,
Δ
is a right angle triangle, so we can use all the trigonometric ratio.


= 
tangent of ∠
=
= 
= 
= 
∴∠
= 
=
° ≅
°
Therefore the value of tangent of ∠
is
°.
Answer: The correct option is
(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.
Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.
Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.
So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.
In option (A), we have
The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.
And the lengths of corresponding sides of ABCD are half those of KLMN.
So, we can write

Therefore, the corresponding sides are proportional.
Thus, option (A) is true if two polygons are similar.
we are given
5 equally sized boxes of cake mix fell off the back of Jake's truck
it means that
total number of balls =5
Together they weigh 925.98 pounds
total weighs =925.98 pounds
each ball weighs = (total weights)/(total number of balls)
now, we can plug values
each ball weighs =
each ball weighs is 185.196 pounds..................Answer