Answer:
1. AC is perpendicular to BD
1. Given
2. ACB is a right angle
2. Definition of perpendicular lines
3. Triangle ACB is a right triangle
3. Definition of right triangles
4. Angles 1 and 3 are complementary
4. Interior angles of a triangle add up to 180 degrees (Triangle Interior Angle Sum Theorem), and m<ACB = 90 degrees (definition of right angles), so m<1 + m<3 = 90 degrees (subtraction property of equality). By the definition of complementary angles, angles 1 and 3 are complementary.
Answer:
-20
Step-by-step explanation:
20 Below -> -20
Think of it as a vertical number line, where sea level is 0. Anything above is positive, and anything below is negative.
The inequality would be -38 ft > -83 ft.
the meaning of this inequality is that andrew and his father are 38 feet down a canyon that is 83 feet deep
Take the deritive
y'=-3sinx
find whre it equals 0
it equals 0 at -pi, 0, pi, etc
find whre it changes from negative to positive
at -0.5pi, the derivitive is positive
at 0.5pi, the deritivie is negative
changes from positive to negative at x=0
that means that the max values are at pi and -pi in 2pi intervals
-pi, pi, 3pi, 5pi,etc
the min y value is -3
so the minimum(s) are/is at (2aπ,-3) where 'a' is an integer
Answer:
85/100 = x/20
100x = 1700
x = 17 questions she answered correctly
x + 17 = 20
x = 3 questions she answered incorrectly
Step-by-step explanation: