Answer:
EB = 10
Step-by-step explanation:
For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:
CE * ED = AE * EB
(This is applied specifically to this problem)
We can substitute the values given,
5 * (x - 4) = 3 * x
simplify,
5x - 20 = 3x
and solve.
2x - 20 = 0
2x = 20
x = 10
Since the value of EB is x, EB = 10.
Answer:
7 miles
Step-by-step explanation:
Mr. Luna's travels east and west are irrelevant to the question. He drives 3 miles north, then he drives 4 more miles north. 3 + 4 = 7, so Mr. Luna ends up 7 miles north of his home.
Each eraser will cost u 50 cents
so 7 erasers will cost (7 * 0.50) = 3.50 <==
Answer:
∡ZA = 66°
Step-by-step explanation:
Suplementary angles sum 180°
ZA + ZB = 180°
then:
(2x - 14)° + (3x-6)° = 180°
2x + 3x - 14 - 6 = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
then:
∡ZA = (2x - 14)
∡ZA = (2*40 - 14)
∡ZA = (80-14)
∡ZA = 66°
