If the points are on a number line, then the length of the segment would be 8
Answer:
the sum of one interior angle and one exterior angle is 180
x+120=180
x=180-120
x=60°
sum of angles in a triangle is 180
y+60+25=180
y+85=180
y=180-85
y=95°
Answer:
a
Step-by-step explanation:
hope this helps yout just have to put the negative letters with the positive!!!
Answer: The correct option is (A). 464 square units.
Step-by-step explanation: We are given a rectangle inside a regular hexagon in the figure.
We know that each side of a regular hexagon has same measure, so the measure of each side is
a = 18 units.
Therefore, the area of the regular hexagon is given by

Since the rectangle has length and breadth of 21 units and 18 units respectively, so the area of the rectangle is

Thus, the area of the shaded region in the figure will be

Hence, option (A) is correct.
Answer:
find b: since the triangle is right angle triangle apply the Pythagorean theorem
c²+b²=d²
b²=d²-c²
b²=16²-12²
b²=256-144
b²=112
<h2>b=√112 = 4√7</h2>
the sum of the angle of the triangle=180
( in top Δ abd ) sin Ф=opp/hyp
sinФ=b/d=4√7/16= √7/4 radian
convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees
<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>
find a=?? apply law of cosine
a²= d^2 + c^2 − 2dc cosA
a²=16² + 12²-2(16)(12)cos38
a =√(16² + 12²-2(16)(12)cos38)
<h2>a=9.87 rounded to the nearest hundredth</h2>
(i hope it is right )