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:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.
Answer:
Mutually exclusive
Step-by-step explanation:
Answer:
See the image below.
Step-by-step explanation:
The decimals 0.43 and 0.39 are equivalent to 43/100 and 39/100. These decimals lie between 0 and 1.
Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.
Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.
Mark 0.39 between 0.3 and 0.4, just behind 0.4.
Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:
0.39<0.43
Answer:
15m/s
Step-by-step explanation: