1) 110+30+a = 180
a = 180-140 = 40
Obtuse angled triangle
2) 50+50+C = 180
C=180-100 =80
Acute angled triangle
3) 45+45+b =180
b =180-90 = 90
Right angled triangle
4) 45+60+C = 180
C = 180-105 =75
Acute angled triangle
5) 94+47+b =180
b = 180-141=39
Obtuse angled triangle
6)81+53+a = 180
a =180-134 = 46
Acute angled triangle
7) 38+45+b =180
b = 180-83 =97
Obtuse angled triangle
8) 36+54+C =180
C =180-90 = 90
Right angled triangle.
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:

The answer is
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:

<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
4.5, -27, 162,-972, 5832
Step-by-step explanation:
The given recursive definition is,

This will form a geometric sequence with first term 4.5 and common ratio r=-6.
When n=2, we have:

When n=3, we get:

When n=4, we get:

When n=5, we get:

Therefore the first five terms are:
4.5, -27, 162,-972, 5832
N can be equal to anything below 4 because if they are integers, m will equal to 5 or lower, as long as it is a whole number, but since the greatest possible answer is 5 then we will say m=5. So it is simplified to 6<5<n, and same thing, n is equal to any whole number below 5, so n is equal to 4, 3, 2, 1, 0, etc.
Answer:
x=-12
Step-by-step explanation:
8x=-104
8x÷8=-104÷8
x=-104÷8
x=-13