Answer:
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
Step-by-step explanation:
Given:
Rate for Lifeguarding = 
Rate for walking dogs = 
She had worked 2 hours walking dog
Money for walking dogs = Rate for walking dogs
hours worked=
she can work a maximum of 15 total hours and must earn at least $160.
Let hours required for lifeguarding be x
Money for life guarding = Rate for walking dogs
hours worked for lifrguarding= 
Total Money she must earn = Money for lifeguarding + Money for walking dogs

Rounding to nearest hour
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
The image of the question is attached below.
Given:
m∠DAC = 20° and m∠BCA = 30°
m∠ABC = 90° and m∠CDA = 90°
To find:
The value of x and y.
Solution:
In right triangle ABC,
m∠BAC = x° + 20°
Sum of the interior angles of a triangle = 180°
m∠BAC +m∠ABC + m∠BCA = 180°
x° + 20° + 90° + 30° = 180°
x° + 140° = 180°
Subtract 140° from both sides.
x° + 140° - 140° = 180° - 140°
x° = 40°
In right triangle ADC,
m∠ACD = y° + 30°
Sum of the interior angles of a triangle = 180°
m∠ACD +m∠CDA + m∠DAC = 180°
y° + 30° + 90° + 20° = 180°
y° + 140° = 180°
Subtract 140° from both sides.
y° + 140° - 140° = 180° - 140°
y° = 40°
The value of x is 40 and y is 40.
Answer:
Step-by-step explanation:
Function is negative when graph line lies below the x - axis.
Step-by-step explanation:
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