2x + 18 and 4x - 14 are corresponding angles...they are equal
2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16
so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50
and 4x - 14 and y are supplementary angles that add up to 180 degrees
so 50 + y = 180.....y = 180 - 50....y = 130 <==
The area of sector is given by:
A=θ/360πr²
θ=210°
r=10/2=5 cm
thus the area will be:
A=210/360×π×5²
A=210/360×3.14×5²
A=45.8 cm²
Answer:
y = 
+ 2
Step-by-step explanation:
The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:
Slope(s) = Change in y ÷ change in x
s = 
= 3
The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = 
Reason: The product of slopes of lines perpendicular to each other have to be -1
So the slope of the perpendicular line that passes through (-6,4) is
As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x
Taking another point (x,y) on the line,
= 
= 
y - 4 = x - 2
y = x + 2
Answer:
Step-by-step explanation:
The tangent is the Opposite over the Adjacent sides. (SOHCAH<u>TOA</u>).
Opposite/Adjacent = 4/9 = 0.44444
The angle whose tangent is 0.44444 is 23.96 or 24 degrees (round to nearest tenth).
(2x - 5)° + 45° = 180°
2x° + (-5 + 45)° = 180°
2x° + 40° = 180°
2x° = 180° - 40°
2x° = 140°
x° = 140 ÷ 2
x° = <u>7</u><u>0</u><u>°</u>
So, the value of x is 70°
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
