Answer: B' (5, -8)
Step-by-step explanation:
Rotating 180 around the origin rule:
(x,y)--> (-x-y)
B (-5,8) B' (5, -8)
Answers:
- angle1 = 156 degrees
- angle2 = 24 degrees
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Explanation:
The two angles form a straight line, which is 180 degrees
Add up the angle expressions and set the sum equal to 180.
(angle1) + (angle2) = 180
(4x) + (x-15) = 180
(4x+x)-15 = 180
5x-15 = 180
5x = 180+15
5x = 195
x = 195/5
x = 39
We use that x value to find each missing angle
- angle1 = 4x = 4*39 = 156 degrees
- angle2 = x-15 = 39-15 = 24 degrees
Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.
Side note: Angles that add to 180 are considered supplementary.
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
Answer:
A) 2/7y=200
B) There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280
Step-by-step explanation:
Total number of species of birds that migrate = 200
We are given that of all the species of birds are sighted in the park
a)Write an equation to find the number of species of birds that have been sighted in Everglades National Park.
Let y be the number of species of birds that have been sighted in Everglades National Park.
We are given that of all the species of birds are sighted in the park
So, 2/7y=200
y=200x7/4
y=280
B)There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park?
So, There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280