First simplify like terms (things with the same letter):
3g + 7g + 8 = -10 + g
10g + 8 = -10 + g
Next we should take g off both sides:
9g + 8 = -10
Next isolate 9g by taking 8 off both sides:
9g = -18
Next divide both sides by 9 to find the value of g:
g = -2
The sum of the 2 angles will add up to 180°
9 dived by 3 = 3
so he surfed for 3 hours = 1/3 of 9
and there are 6 hours left
so he spent 6 hours building a sandcastle
Answer:
B
Step-by-step explanation:
<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.
For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.
Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).
Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.
Option B is true according to definition.
Answer:
8/21
Step-by-step explanation:
The total job is 1
Mike has done 1/3 and Dena has done 2/7 of the job We still need to do x of the job to complete it
1/3 + 2/7+ x = 1
We need to get a common denominator 3*7 = 21
Multiply each side by 21
21(1/3 + 2/7+ x) = 1*21
21(1/3) + 21*(2/7)+ 21x = 21
7+ 3*2 +21x =21
7+6+21x = 21
13+21x = 21
Subtract 13 from each side
13-13+21x=21-13
21x = 8
Divide each side by 21
21x/21 = 8/21
x = 8/21
We need to complete 8/21 of the job
