Answer:
14
Step-by-step explanation:
the absolute value of -8 is 8
the absolute value of 6 is 6.
6 + 8 = 14
give brainliest please!
hope this helps :)
-35 is the answer hope this helps
Hi!
A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.
B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.
C is <u>FALSE</u> - Explained above.
D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.
E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.
Answer:
x = 17
Step-by-step explanation:
corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so
6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )
10x + 10 = 180 subtract 10 from both sides
-10 -10
10x = 170 divide each side by 10
/10 /10
x = 17
Answer:
ai) 73000 gal/yr
aii) $730 per year
b) 1000 days
Step-by-step explanation:
ai) The water usage per day is ...
(4 showers/day)(10 min/shower)(5 gal/min) = 200 gal/day
Then the usage per year is ...
(200 gal/day)(365 days/yr) = 73,000 gal/yr
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aii) The cost of electricity is the cost of heating half the water usage, so is ...
(0.20 kWh/gal)(1/2)(73,000 gal/yr)($0.10/kWh) = $730/yr
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b) The current daily cost of electricity for heating water is ...
($730/yr)/(365 days/yr) = $2/day
If the cost is cut in half, it will be $1 per day. That means the savings is $1 per day, so it will take 1000 days to recover the $1000 initial cost. (Effectively, the average cost for the first 1000 days is the same as if the water heater had not been replaced.)