Answer:
51°
Step-by-step explanation:
angle2 is equal to 51 degrees
Ok. Could I have a picture of the question? :)
Answer: See step by step
Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle 6 and 7 are supplementary angles because they forma linear pair.
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
