let's first off take a look at the <u>tickmarks</u>, three <u>side tickmarks</u>, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.
there are two <u>angle tickmarks</u>, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.
now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.
let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.
the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then
30° + a° + a° = 180°
30 + 2a = 180
2a = 150
a = 75° = y
now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.
well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.
All you have to do is add up the side lengths we already know then subtract by the perimeter.
60.3 is the side lengths all together that we know
82-60.3=21.7
Hope this helped!!
Answer:
Step-by-step explanation:
Answer:
the difference would be 28 degrees.
Step-by-step explanation:
The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.
Answer:
783
Step-by-step explanation:
We have to find the sum of Arithmetic series from t = 1 to t = 18 represented by (5t - 4)
The formula to find the sum of an Arithmetic series when first and the last term is known is:
Here,
n = Total number of terms = 18
= First Term = 5(1) - 4 = 1
= 18th Term = 5(18) - 4 = 86
Using the values in the above formula, we get:
Thus, the sum of 18 terms of the given Arithmetic Series is 783.
