<h2>
Answer: 20°</h2>
<h3>
Step-by-step explanation:</h3>
Supplementary angles sum up to 180 °
Complementary angles sum up to 90°.
The supplement of 110° = 180° - 110° = 70°
The complement of 70° = 90° - 70° = 20°
<u>Simplier version:</u>
The complement of the supplement of 110° = (90° - (180° - 110°))
= 20°
Answer:
4x^2-81y^2 is NOT a perfect square trinomial, factored. You know this because if you factor this to (2x+9y)(2x-9y) then you will see that the signs between terms in the parenthesis are DIFFERENT.
Step-by-step explanation:
Taking notes as you go through the course will help you retain and process the information much better than getting "help" from a site that is probably badly named.
Answer:
Jacqueline runs at 6.25 minutes per mile
Step-by-step explanation:
Here we have that the total training time for Jacqueline = 54 minutes
The time for which Jacqueline swims = 30 minutes
Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes
Therefore the equation for Jacqueline's speed = Distance/Time we have
Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute
Therefore Jacqueline's pace = 0.16 miles/minute
The equation for Jacqueline's pace in miles/minute is presented as follows
Jacqueline's pace in miles/minute = Time of running/Distance
Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.
Answer:
4 GB
Step-by-step explanation:
Let "g" represent the number of gigabytes of data used. Then the phone bill is computed as ...
bill = 65 + 12g
Aurora's bill is 113, so we can put that value into the equation and solve for g.
113 = 65 + 12g
48 = 12g . . . . . . subtract 65 from both sides of the equation
4 = g . . . . . . . . . divide both sides of the equation by 12
Aurora used 4 gigabytes of data in September.
_____
You can also use your mathematical reasoning to solve this problem. The total bill consists of two charges: a fixed charge of 65 and a charge that depends on data. If you subtract the fixed charge from the bill, you find that the charge that depends on data is 113-65 = 48.
The data charge is 12 times the number of gigabytes. The data charge on the bill is 48, which is 12 times 4. Then the number of gigabytes is 4.
The constant is -12. I think of constant as the "lonely little number".... Hope this helped =)
