Answer:
M=-3
Step-by-step explanation:
10=7-m
Subtract 7 from both sides
3=-m
Divide by negative
-3=m
11.25 is 11 1/4 because if you were to do 1 divided by 4, you would find that the answer is 0.25. But if you need an improper fraction, you would get 45/4 because if you were to put 11 times 4, you would get 44, and 44+1=45. Then you put that on the numerator spot, and you will get 45/4 for improper fraction.
Answer:
A. 400*45.2=400*45+400*0.2=18000+80=18080
B. 14.9*100=15*100-0.1*100=1500-1=1490
C. 76.2*200=76*200+0.2*200=15200+4=15204
Step-by-step explanation:
Answer:
Option A. is correct
Step-by-step explanation:
The circumcenter is a point of intersection of all the perpendicular bisectors of a triangle.
The incenter is a point of intersection of all the angle bisectors of a triangle.
The orthocenter is a point of intersection of all the altitudes of a triangle.
The centroid is a point of intersection of all the medians of a triangle.
The incenter, orthocenter, and centroid always lie inside a triangle.
However, a circumcenter does not always lie inside a triangle.
In an acute-angled triangle, the circumcenter may lie inside or outside the triangle.
So,
Option A. is correct
For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
<h3>
angle NOP = 68 degrees</h3>