Answer:
x=12 and y=4.3
Step-by-step explanation:
Given the sides of quadrilateral that are O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO be a parallelogram.
we know opposite sides of parallelogram are equal.
Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.
Equating opposite sides equal, we get
8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12
implies, NM=x-5=12-5=7
NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3
Hence, x=12 and y=4.3
Answer:
y=-3 x=4
Step-by-step explanation:
y=3x+3
y=3x+3 y=x-1
+<u>1</u><u> </u><u> </u><u> </u><u> </u><u>+</u><u>1</u>
y+1=x
y=3(y+1)+3
y=3y+3+3
y=3y+6
<u>-3y=-</u><u>3y</u>
-2y=6
-y=3
<u>y=</u><u>-</u><u>3</u>
3=x-1
<u>+1=+1</u>
<u>4</u><u>=</u><u>x</u>
Recall your d = rt, distance = rate * time.
bearing in mind that, when she's going downstream, she's not going 40 mph, she's going 40 + 4 mph, because the stream is adding its speed to it.
likewise, when she's going upstream, she's going 40 - 4 mph, because the stream is eroding speed from it, thus

so, "u" is 16 minutes and 40 seconds.
and "d" is 13 minutes and about 38 seconds.
For the mode to be 6, there has to be at least two 6s.
For the median to be 6, with two 6s, there must be at least one number above 6.
For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.