C if u need a step-by-step just comment
Answer:
c. m∠2 = m∠5
Step-by-step explanation:
We can check 1 by 1 and find the false one.
For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.
For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.
For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.
For answer d, measure 2 and 6 are corresponding angles, so that's also not false.
Therefore, the answer must be c.
Answer:
- 24 ounces of solution B
- 16 ounces of solution A
Step-by-step explanation:
The largest contributor of salt to the mix is the 45% solution (B), so we'll let our variable (b) represent the quantity of that. The total amount desired is 40 ounces, so the quantity of solution A is (40-b) ounces. Then the amount of salt in the mix is ...
0.45b +0.20(40-b) = 0.35(40)
Simplifying and subtracting 0.20(40), we get ...
0.25b = 0.15(40)
b = 40(.15/.25) = 24
(40-b) = 16
The scientist should use 24 ounces of Solution B and 16 ounces of Solution A.
a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,
so that
b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is . Then its displacement over the time interval [0, 3] is
c) The total distance traveled is the integral of the absolute value of the velocity function:
for and for , so we split the integral into two as
The shape is nonexistent if there are two 60 degree angles the last angle must be 60 degrees and not 40