Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What perce

There are 50 pairs of whole numbers that can add up to 99. To clarify, consider the combinations: 0 + 99, 1 + 98, 2 + 97, and so on, up to 49 + 50. This observation indicates that counting all combinations would result in 50 pairs of distinct whole numbers that sum to 99. I hope this response assists you!

These occurrences are unlikely to take place!

I hope this is helpful

Answer:

The accurate assertions include:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Step-by-step clarification:

The provided information is as follows:

m∠7 = 55°

The angles formed by the transversal and the upper horizontal parallel line are (starting from the top left and moving in clockwise direction) 1, 2, 4, 3

Likewise, the angles from the transversal and the lower horizontal parallel line are (starting from the top left and going clockwise) 5, 6, 8, 7

Consequently, we have;

m∠7 ≅ m∠6 (Vertically opposite angles are equal)

Thus, m∠6 = m∠7 = 55°

m∠6 = 55°, which aligns with option A.

m∠5 + m∠6 = 180° (The sum of angles on a straight line)

So, m∠5 = 180° - m∠6 = 180° - 55° = 125°

m∠5 = 125°

m∠1 ≅ m∠5 (Corresponding angles)

Thus, m∠1 = m∠5 = 125°

m∠1 ≅ m∠4 (Vertically opposite angles)

Therefore, m∠1 = m∠4 = 125°

Thus, m∠1 + m∠4 = 125° + 125° = 250°

m∠1 + m∠4 = 250°, which corresponds to option C.

m∠1 ≅ m∠4 (Vertically opposite angles)

m∠6 ≅ m∠7 (Vertically opposite angles)

Thus, m∠1 + m∠6 = m∠7 + m∠4 (Transitive property), which matches option D.

Let's sketch the triangle.

The sides are a= 37.674 miles

b= 11.164 miles

c= 36.318 miles

We'll apply the cosine rule for angle calculations

(since the sine law cannot be employed without knowing any angle measurements).

The cosine law is given by

Substituting the values results in

C = 74.48°

We can find angle A using the sine law

A=

A = 87.38°

The third angle B can be determined by calculating 180° minus the sum of angles A and C

B = 180 - 161.86

B = 18.14°

Thus, we have calculated all three angles (as shown in the attached figure).

Greetings: 
<span>x² + y² + 8x + 22y + 37 = 0
(x² +8x) +(y² +22y) +37 = 0

</span>(x² +8x+4²)-4² +(y² +22y+11²) -11²+37 = 0
(x+4)² +(y+11)²-16-121+37 =0

(x+4)² +(y+11)² =10²...(<span>standard form )
</span><span>The circle's center is located at (-4, -11) and has a radius of 10</span>