Answer: length = 12
<u>Step-by-step explanation:</u>
Use Pythagorean Theorem: length² + height² = hypotenuse²
length = L
height = L - 7
hypotenuse = L + 1
L² + (L - 7)² = (L + 1)²
L² + L² - 14L + 49 = L² + 2L + 1
2L² - 14L + 49 = L² + 2L + 1
L² - 14L + 49 = 2L + 1
L² - 16L + 49 = 1
L² - 16L + 48 = 0
(L - 4)(L - 12) = 0
L - 4 = 0 L - 12 = 0
L = 4 L = 12
Input L = 4 and L = 12 to find the height:
Height = L - 7 height = L - 7
= 4 - 7 = 12 - 7
= -3 = 5
↓
negative height is not valid
So, the only valid solution is L = 12
To know that a relation is a function is it the graph gets approved by the “vertical line text”. If the imaginary vertical lines you draw onto the graph only touch one part of the line, then it is a function. If they touch two or more parts of the line, then the relation isn’t a function.
(Since I cant see the following I’ll also give another tip) If the ordered pairs are given, then if a number in the x points is repeated, then it is not a function. But if I’m y is repeated, it doesn’t matter, it’s still a function. The only thing you need to focus on is on the x list, if one number is repeated then it is not a function.
So, the town had a population on 4,500 people in 1995. Then from 1995 to 2000, the population increased by 15%.
Convert 15% to a decimal by dividing it by 100. Then, the population in 1995 by this decimal.
15% ÷ 100 = 0.15
4,500 × 0.15 = 675
Now, add this to the population in 1995.
4,500 + 675 = 5,175
This means that the town had a population of 5,175 people in 2000.
To calculate the town's population in 2005, repeat the same steps we took to find the population in 2000, except this time we will subtract instead of add since the population DECREASED.
4% ÷ 100 = 0.4
5,175 × 0.4 = 207
5,175 - 207 = 4,968
FINAL ANSWER:
The town had a population of 4,968 in 2005.
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Step-by-step explanation:
Answer:
Yes, they are parallel
Step-by-step explanation:
Find the slopes of the lines using rise over run (y2 - y1) / (x2 - x1)
Find the slope of line M:
(y2 - y1) / (x2 - x1)
(2 - 0) / (-3 + 5)
2/2
= 1
Find the slope of line N:
(y2 - y1) / (x2 - x1)
(4 - 2) / (0 + 2)
2/2
= 1
So, the two lines have the same slope of 1, meaning that they are parallel because parallel lines have the same slope.
They are parallel.
Answer:
option A
Step-by-step explanation:
All the three angles are equal..
so it's AA similarity