Answer:
x = 50°
2x = 100°
Step-by-step explanation:
Chords AB and DC are equidistant (3 units) from the center E of the circle.
Since, the chords equidistant from the center of the circle are congruent.
Congruent chords intercepts congruent arcs.
Hence, x = 50°
2x = 2*50° = 100°
Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
Answer:
a) 5x=8 use a calculator and use distributive property
b) 22=3x+5 -18
22=3x-13
9=3x
x=3
distributive property
c)-48= -8x-20+5x-1
-48= -3x-21
-27= -3x
x=7
distributive property
Step-by-step explanation:
Answer:
14.0
Step-by-step explanation:
$7.50 meal + your 6.5$ tax.
We add those and it will equal 14.00
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
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