Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Step-by-step explanation:
A)
Janet's took 34.56 seconds to cover 50m freestyle swim.
In words it could be said as: thirty four and fifty six hundredths.
B)
Race # Time (in sec.) time( after roundoff to nearest integer)
<em> 1 34.56 35</em>
<em> 2 35 35</em>
<em> 3 34.8 35</em>
4 34.137 34
5 33.92 34
Hence, the first 3 race times were equal after rounding off to nearest integer.
C)
on arranging the time of Janet's from fastest to slowest we get the table as:
Race # Time( in sec.)
5 33.92
4 34.137
1 34.56
3 34.8
2 35
since, after decimal we arrange the numbers in order same as we do for the natural numbers.
as in race #5 '33' is the smallest among all hence we keep it in first place.
for race 4,1 and 3 we have the same digit before decimals so now we have to look for the number after decimals.
D)
Janet's time in race #4 was: 34.137 sec.
But Grace was 1.8 seconds faster than Janet.
Hence, Grace time=34.137-1.8=32.337 sec.
Answer:
.53
Step-by-step explanation:
Well all you gotta do is basically just divide so it will be 2.65 divide by 5 which would equal the answer which is .53 for all sides
We are given
We can write it as
we can see that 2y is in first two terms
and -8 is in last two terms
so, we can factor it out
now, we can see that x+4 is common in both terms
so, we can factor it out
we can see that
x+4 is one of factor of terms
so, option-B..........Answer