Answer:
x = 123°
General Formulas and Concepts:
<u>Geometry</u>
Step-by-step explanation:
The angles on the transversal and parallel lines are Corresponding Angles. Therefore, according to the definition, they are congruent.
Answer:
○ Subtract 8 from both sides, then divide both sides by 1/3
Step-by-step explanation:
Perhaps the usual sequence of steps is ...
add 8:
3y = 27
divide by 3 (equivalently, multiply by 1/3)
y = 9
___
If the division by 3 is done first, then the constant on the left becomes -8/3, so cancelling it requires adding 8/3 to both sides of the equation.
_____
If you do the last suggestion, you get ...
subtract 8 from both sides:
-16 +3y = 11
divide both sides by 1/3:
-48 +9y = 33 . . . . . . . does not solve the equation completely
Answer:
Let s represent the number of student tickets sold.
Let g represent the number of general admission tickets sold.
s + g = 350
3s + 5g = 1450
Answer:
1260 cm^2
Step-by-step explanation:
To find the area of the rectangle we need its base and its height and calculate the product A = (base)(height).
Here the height of the triangle is found using the Pythagorean Theorem:
37^2 = |AB|^2 + 12^2, or |AB|^2 = 1369 - 144, or 1225.
Taking the square root of both sides, we get |AB| = √1225 = 35 cm = height of rectangle.
Since BC:CD = 1:2, and since |BC| = 12 cm, |BD| is 12 cm + 24 cm = 36 cm.
Thus the length of the rectangle is 36 cm.
The area of the rectangle ABDE is (36 cm)(35 cm) = 1260 cm^2
Answer:
166 m^2
Step-by-step explanation:
The enclosing rectangle is 9m by 29m, so is 261 m^2. From that, the white space of 5m by 19m = 95 m^2 must be subtracted. The result is that the shaded area is ...
261 m^2 -95 m^2 = 166 m^2
