Answer:
1) x=30 degrees
2)y=20 degrees
1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)
2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20
(I hope this makes sense)
Answer:
1/5
Step-by-step explanation:
Use Pythagoras theorem
Answer:
33.5+127=160.5
180-160.5=19.5
Step-by-step explanation:
Answer:
L=21.6in and w=13.6
Step-by-step explanation:
If the length is 8 inches longer than its width, we can write the width as "w" and the length as the width w+ 8
Area is (width)(Length) = (width)(width+8)
W
----------
| |
| |
| | L = w+8
| |
| |
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A = (w+8)(w)
A = w2 + 8w = 295.
(Problem states that area is 295 sq in)
Need to solve this quadratic equation
w2 +8y - 295 = 0
Factor:
(w - 13.64) (w + 21.64) = 0
So
w - 13.64 = 0. or. w + 21.64= 0
Solve these and get
w = 13.64. or. w = -21.64
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 13.64 inches
Length = 21.64 inches
Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call 
the american population, 
the British population before the migration, and 
the population that migrated from America to Britannia.
Now, the population that migrated was 20% of the american population:
,
and the same population increase the British population by 4%:
Combining equation (1) and (2) we get:
Thus, the American population was 20% of the British population.
