Answer:
x° = 67°
Step-by-step explanation:
1. The first three diagrams are showing you that opposite exterior angles are congruent. Based on that, when you are faced with opposite exterior angles in the fourth diagram, you are able to conclude they are congruent. That means x° = 67°.
2. You can determine the other angles in the figure based on linear angles being supplementary, and same-side interior angles being supplementary. After you work through all the angles, you find that x = 67.
Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
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Answer:
Bethanie and Laney walked a total of = 0.66 miles or (
th of a mile)
Step-by-step explanation:
Bethanie walked 3/10th of a mile
Laney walked 36/100th of a mile
Lets divide and convert them to decimal:
3 divided by 10 gives us 0.30
36 divided by 100 gives 0.36
Total they walked:
0.30 + 0.36 = 0.66 miles
That would be (in fraction):
66/100 = 33/50 of a mile
Answer:
The perimeter of the garden is 400 feet.
Step-by-step explanation:
Consider the provided information,
Raja is laying tiles on a path that forms the diagonal of a square garden. If Raja is told that the length of the diagonal path is 
The length of the diagonal of a square garden is 
Let x represent the side of square.
By Pythagorean theorem we know:
Where c is hypotenuse.
The diagonal of the square divides the square into two right angle triangle.
Where, the sides of the square are the legs of the triangle and diagonal is the hypotenuse of the triangle.
Hence, the side of the square is 100 ft.
The perimeter of the square is
where s is the side of square.

Hence, the perimeter of the garden is 400 feet.