Answer:
63
Step-by-step explanation:
Hi there!
In order to find the answer to this question we must know about:
The angles of intersecting chords theorem
The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.
Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )
Angle ABC intercepted arc is AC
Hence Angle ABC = 1/2 ( arc AC + arc ED)
Arc ED = 44 and arc AC = 82
Thus, angle ABC = 1/2(82 + 44)
82 + 44 = 126
126/2=63
Hence Angle ABC = 63
Answer:
Amount after one year = $410
Error made = $260
Step-by-step explanation:
Number of quarters in one year = four quarters
Hence amount after one year = P(1+r)⁴
A = 325(1+0.06)⁴ = $410
Error made = 670 - 410 = $260
For this case we have that by definition, the area of a rectangle is given by:
Where:
w: It is the width of the rectangle
l: It is the length of the rectangle
On the other hand, we have that the GCF of two numbers is given by the biggest factor that divides both numbers without leaving remainder.
If we have that the area of the rectangle is:
We find the GCF of 14 and 35:
Thus, the GCF is 7. Then the GCF of the expression is:
Thus, the dimensions of the ractangle can be:
or
If, we have:
The rectangle does exist!
Answer:
The rectangle does exist!