angles across each other at a junction, namely vertical angles, are equal.
so the angles right in the middle, where both triangles intersect, are both equal, that means the triangles have that angle in common as well as the angle x°, meaning both triangles are similar by AA.
if both triangles are similar, that means all their interior angles are the same, meaning y = 75°.
now, let's notice something, those tickmarks, meaning each triangle is an isosceles triangle, which have a vertex angle and twin angles.
since all interior angles in a triangle add up to 180°, so 180 - 75 = 105°, subtracting "y" from the 180°, that leaves 105°, to be split evenly between the twin angles of "x" and the one at the junction.
105/2 = 52.5° = x.
Answer:
68 bicycles.
Step-by-step explanation:
Let there be x bicycles, then there are (93 - x) tricycles.
From the given values:
2x + 3(93 - x) = 211
2x + 279 - 3x = 211
-x = 211 - 279 = -68
x = -68/-1 = 68.
The area of a triangle is given in terms of the side lengths (b, h) as
... A = (1/2)bh
If b=h, then we can find the side length as ...
... A = (1/2)b²
... b = √(2A) . . . . . multiply by 2 and take the square root
The hypotenuse (x) can be found from the Pythagorean theorem:
... x² = b² + h² = 2b²
... x = b√2
The perimeter is the sum of the side lengths, so is
... P = b + b + x = 2√(2A) + (√(2A))·√2
... P = (2+√2)·√(2A)
Answer:
1-(n+6) (n+6)-1
Step-by-step
i just got it right on study island
Let’s turn 1 1/4 into a decimal. So Ruby spends 1.25 hours a day practicing. So all we have to do is multiply 1.25 times 6 days and that gives us 7.50 or 7 1/2 total hours for the week she practices piano.
