Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A daycare center in Newport currently has 1 assistant caregiver and 5 senior caregivers.
Since demand is high, the owner is going to be hiring 4 assistant caregivers per month and 2
senior caregivers per month. Her goal is to have a larger staff, including an equal number of
assistant caregivers and senior caregivers. How many of each type will there be? How long
will that take?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Let x = a + bi and y = c + di and z = f + gi. which statements are true?

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.