Answer: <RPS = 161
Step-by-step explanation:
P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)
<QPR+<QPS= <RPS
71+90= 161
(<QPS is a right angle. Right angles are equal to 90 degrees.)
225998 225988
I believe it is the tenths place
(the bold digits)
Expand the brackets first
5(wx-v) = 9(x + v)
5wx - 5v = 9x + 9v
Get all x's on one side and everything on on the other side
9x - 5wx = 9v + 5v
factorise out the x
x(9-5w) = 14v
then divide by 9-5w
x = 14v/(9-5w)
To find equivalent expressions, distribute the 7 into (-3/4x - 3)
7(-3/4x) = -21/4x, which simplified is -5 1/4x
7(-3) = -21
Put together, this is -5 1/4x - 21 (answer 1)
Another way to write an equivalent expression would be to not simplify 7 times the distributed term. You could write 7(-3/4) + 7(-3) which makes #5 correct as well. #5 is 7(-3/4x) - 7(3). If this was simplified, it would equal answer choice 1.
#2 is not correct because 7 times -3/4x does not equal -7 3/4x
#3 is not correct because -21/4 simplifies to -5 1/4, not -6 1/4
#4 is not correct because 7(-3) does not equal -4
Answer:
1/8 is the bigger fraction
Step-by-step explanation:
When comparing fractions with different denominators, and the numerator is one, like 1/8. The one with the smaller number for the denominator is greater.
You could also compare them by finding common denominators, so for 1/8 and 1/9, a common denominator would be /63. So you would take
and multiply that by
. You would then get
. When you take
times
you get
. So when comparing you can see that 1/8 is greater than 1/9.