Step-by-step explanation:
=( n-2)180
= ( 4 - 2 )180
= 360
So, 144 + 90 + m<2 +m<1 = 360
144 + 90 + 85 + m<1 = 360
319 + m<1 = 360
m<1 = 360 - 319
m<1 = 41
their is an unknown angle so let's call it x
let's find x first ( m<6=49)
x + m<6 = 180
x + 49 = 180
x = 180 - 49
x = 131
Now let's find m<7
m<7 + 38 + m<4 + x = 360
m<7 + 38 + 85 + 131 = 360
m<7 + 254 = 360
m<7 = 360 - 254
m< 7 = 106
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
Based on the picture above,
The theorem or postulate that justifies that Angle HEF ~ angle HGE is :
A. AA similarity postulate
(s is used for equal side, that is used for congruent)
hope this helps
Answer:
AB = x+ 8
Step-by-step explanation:
Given : QS=6x and CS=5x-8
From the given figure,
QS = QC + CS
We are given with QS and CS
Replace it the above equation
6x = QC + 5x -8
Solve for QC
Subtract 5x on both sides
x = QC + -8
Add 8 on both sodes
QC= x + 8
QABC is a rectangle
QC = AB
So AB = x+ 8
Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° =
=
( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )