Given:
(a+10) and (a+20) are supplementary
To find:
Each angle
Steps:
if 2 angles are supplementary that means they add up to 180°
(a + 10) + (a + 20) = 180
a + 10 + a + 20 = 180
2a + 30 = 180
2a = 180 - 30
2a = 150
a = 150/2
a = 75°
Now let's find value of each angle,
a + 10 = 75 + 10
= 85°
a + 20 = 75 + 20
= 95°
Therefore, the value of each angle is 85° and 95° respectively
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Answer:
The nonzero value of c will be:
Step-by-step explanation:
Given the function


as

so

switching the sides

subtract c from both sides



Using the zero factor principle


so, the solutions to the quadratic equations are:

Therefore, a nonzero value of c will be:
Its already fully simplified.
Total number of trees n = 4 + 3 + 3 = 10. Count the number of each different trees. n1=4, n2=3, n3=3. Number of ways the landscaper plant the trees in a row is = 10 ! / ( 4! * 3! * 3! ) = 3628800 / ( 24 * 6 * 6 ) = 3628800 / 864 = 4200 ways.
Therefore, the trees can be planted 4200 ways
Answer:
approximately 22.2 miles
Step-by-step explanation:
16mi/72% =xmi/100%
72x=1600
x=22.2222222.....