These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.
<u>Step 1: Find the area of the trapezium</u>:
Formula : Area of trapezium = 1/2 (a + b)h
Area = 1/2 ( 25 + 15) (12) = 240 yd²
<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:
Formula : Area = Length x Width
Area = 12 x 3 = 36 yd²
<u>Step 3: Find the shaded region:</u>
240 - 36 = 204 yd²
Answer: 204 yd²
180° rotation about the origin changes the signs of the coordinates.
(x, y) → (-x, -y)
It is a reflection over the y-axis and a reflection over the x-axis (in either order).
<em>You did not provide the options so hopefully you can figure out the answer based on the information I provided.</em>
Answer:
X= 1 AND 13
Step-by-step explanation:
x2+14x = -13
by completing the square method
you add the square of half the coefficient of b to both sides
which is (14/2)^2
x^2+14x+(7^2) = -13 +(7^2)
x^2 + 7^2 = -13 + 49
x^2 + 7^2 = 36
(x + 7)^2 = 36
find the square root of both sides
(x+7) = + or - 6
x=7-6 ; 1
or
x= 7+6 ; 13
Answer: The value of x= 18
Step-by-step explanation:
Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.
The sum of all angles of a triangle is 180°.
Therefore, in triangle EFG
∠E + ∠F +∠G= 180°
⇒ 8x-16 +x+8+ 2x-10 = 180
⇒ 11x-18= 180
⇒ 11x = 180+18
⇒11x=198
⇒ x= 18 [Divide both sides by 11]
Hence, the value of x= 18
C. 9^4
when dividing with exponents, i usually just look at the exponents and subract them so i did 12-8 for this problem
