<u>Answer:</u>
The correct answer option is D. (-2, 1).
<u>Step-by-step explanation:</u>
We are given the coordinates of the square A"B"C"D" after the rule is applied and we are to find the coordinates of the vertex A.
For that, we will reverse the rule.
A" = (-5, -3)
x: - 5 + 4 = -1
y: - 3 + 1 = -2
Now we will reverse the 90 degrees counter in counter clockwise rotation:
(x, y) ---> (y, -x)
(-1. -2) ---> (-2, -(-1)) = (-2, 1)
Answer:
65º
Step-by-step explanation:
- The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
- The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
- We can solve from there, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 230, -2x=-50
- Divide by -2, x=25
- m∠CAB=(x+40)º=(25+40)º=65º
- m∠ABC=(180-6x)º=(180-150)º=30º
- m∠BCA=(3x+10)º=(75+10)º=85º
Answer:
3 students in blue and 12 in white
Step-by-step explanation:
set 1/6 and 2/3 of it and you need to find that of 18
so you take 2/3*18 and get 12 students
and 1/6*18 and get 3 students
Answer:
2/5 of an acre
Step-by-step explanation:
1/2 an acre, or 5/10 of an acre, is subtracted from 9/10 of an acre
4/10 can be simplified into 2/5 if divided by two
To convert a decimal to a percent, multiply the decimal by 100, then add on the % symbol. An easy way to multiply a decimal by 100 is to move the decimal point two places to the right.
