Answer:
1. 37.5
2. 8
Step-by-step explanation:
1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.
this means that 16/46 = 20/(x+20)
then, just solve that for x
16/46 = 20/(x+20)
divide both sides by 4
4/46 = 5/(x+20)
multiply both sides by (x + 20)
(x+20) * 4/46 = 5
multiply both sides by 46
4x + 80 = 230
subtract 80
4x = 150
divide 4
x = 37.5
2. do the same thing ( still similar triangles)
the equation would be (3x + 1)/10 = (7x - 1)/22
solve
22(3x + 1) = 10(7x - 1)
66x + 22 = 70x - 10
32 = 4x
x = 8
The set is empty since there are no common elements
<h3>Set theory</h3>
Given the following sets
A={0,2,4,6,8} and B={-2,-4}
Required sets
A n B
Since intersection means that we are to write out all the values common to the set A and B, hence the equivalent set will be;
A n B = {}
The set is empty since there are no common elements
Learn more on union of sets here: brainly.com/question/2166579
#SPJ1
X = the number of laps Joe has ran.
x + x + x + 6 = 222
3x = 216
x = 72
Jimmy ran 72 laps.
Joe ran 72 laps.
Sally ran 78 laps.
Pi is seldom useful as an exponent, and is hardly ever used as one.
If you need to show somebody an example of an exponent, I think
that pi is one of the worst examples you can choose.
