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.
(x^1/2 y^-2/3)^-6
= x^(1/2*-6) y^[(-2/3) *(-6)]
= x^-3 y ^4
= y^4 / x^3
answer is D. y^4 / x^3
Answer:
A translation right 10 and up 9.
Step-by-step explanation:
Looks like you wrote the reverse translation
M'N'P'Q'R'S' to MNPQRS
Answer:
Step-by-step explanation:
If our ratio is apple juice to orange juice, then the proportion will be

If we are looking for how much orange juice she needs if she uses 32 ounces of apple juice, then 32 goes on top of a new ratio and x goes on bottom:

That's the proportion. If you need to solve it, cross multiply to get
8x = 128 so
x = 16 ounces of orange juice