Answer:
GJK
Step-by-step explanation:
An inscribed angle is an angle formed by two line segments in a circle that intersect on the circle. The line segments must touch the circle at two points The angle must be on the circle itself.
GIH is not inscribed because I is in the center of the circle not on the circle
GJK is an inscribed angle GJ and JK touch the circle at two point and are inside the circle.
IGJ IG does not touch the circle at two points
JKL KL is outside the circle
Lets call a to the Alonzo amount of points and m to the Miguel amount of points and write equations out of the problem's info:
a + m = 54
m = a + 4
rearrange:
<span> a + m = 54
</span>-a + m = 4
add the two equations:
<span> a + m = 54
</span><span>-a + m = 4
</span>-----------------
0 + 2m = 58
m = 29
and susbstitute in the first equation:
<span>a + m = 54
</span>a + 29 = 54
a = 54 - 29
a = 25
therefore Alonzo scores 25 points and Mike 29
Answer:
16.5 =x
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
tan theta = opp side / adjacent
tan 70 = x /6
Multiply each side by 6
6 tan 70 = x
16.48486452 =x
To the nearest tenth
16.5 =x
The coordinates of trapezoid vertices are:
- J(-7,-2);
- K(-4,-2);
- L(-2,-5);
- M(-9,-5).
The translation rule is
(x,y)→(x-2,y+8).
Then the image trapezoid vertices are:
- J'(-7-2,-2+8) that is J'(-9,6);
- K'(-4-2,-2+8) that is K'(-6,6);
- L'(-2-2,-5+8) that is L'(-4,3);
- M'(-9-2,-5+8) that is M'(-11,3)
Total number of possible outcomes = 36
Total number with sum 7 =5
{1, 6} {2, 5} {3, 4}, {5, 2}, {6, 1}
P(sum 7) = 5/36
Answer: 5/36
