The statue should be located at point E. Point E is the center of the circumscribed circle of the triangle created by the entrances to the arena, the spirit shop, and the parking lot. The distance from the statue to each vertex will then be equal to the radius of the circumscribed circle, so the statue will be at the same distance from all three landmarks.
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
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Answer:
k = -4
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Distribute on the left side.
-4k + 10k - 12 = -3k - 48
Combine like terms on the left side.
6k - 12 = -3k - 48
Add 3k to both sides.
9k - 12 = -48
Add 12 to both sides.
9k = -36
Divide both sides by 9.
k = -4
Option C
<em><u>Solution:</u></em>
We have to solve for "x"
From given,
Solve for brackets
Use distributive property
a(b + c) = ab + ac
Therefore,
Combine the constants
Move the variables to left side of equation
Combine the like terms
Thus option C is correct
Answer:
Step-by-step explanation:
