Answer:
The answer to your question is: (∞ , 3]
Step-by-step explanation:
Remember that to express an inequality, are used ( ) and [ ].
( ) are used when the point is not consider in the interval.
[ ] are used when the point is consider or is part of the interval.
Also, an empty point indicates that the number is not consider in the interval.
and, a filled point indicates that the number is consider in the interval.
For your question, the interval will be:
(∞ , 3]
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.
25 miles and 5 miles because you only multiply two sides to find the area 25•5=125
Answer:
4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.
Answer=8
Step-by-step explanation:
Answer:
0.03125
Step-by-step explanation:
1/8 would also equal to (1 divided by 8) which equals 0.125. The next step is to divide 0.125 by 4. you will get 0.03125
