Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Answer:
6 ways
Step-by-step explanation:
Given
Number of Sports: 3
Required
Determine the total number of schedules
Since, there are 3 sports and the schedule is in no particular order.
The number of schedules is calculated as thus:

Where:

So, we have:


Answer:
(2x+1)(x−5)
Step-by-step explanation:
Answer:
These two values show the range of maximum and the minimum possible approximation of the amount of atoms in the universe.
10000 of the small universe will fit into the big universe.
Step-by-step explanation:
These values are a representative of the possible number of atoms in the universe. They both give a range of possible numbers, within which the number of atoms in the universe can be assigned a a particular value. The range is used to indicate that the value cannot be be exactly determined to be a particular exact number.
The two numbers given are
10^82, and 10^78
If the the larger number of 10^82 is correct, we'll have
10^82 ÷ 10^78
==> 10^(82 -78) = 10000 of the small universe will fit into the larger universe.