Answer:
a) <
b) <
c) >
d) <
e) >
Step-by-step explanation:
Answer:
m∠QPM=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠NPQ=m∠MPN+m∠MPQ
we have
m∠NPQ=(9x-25)°
m∠MPN=(4x+12)°
m∠MPQ=(3x-5)°
substitute the given values and solve for x
(9x-25)°=(4x+12)°+(3x-5)°
(9x-25)°=(7x+7)°
9x-7x=25+7
2x=32
x=16
Find the measure of angle QPM
Remember that
m∠QPM=m∠MPQ
m∠MPQ=(3x-5)°
substitute the value of x
m∠MPQ=(3(16)-5)=43°
therefore
m∠QPM=43°
The total number of fish available in the tank is (18 + 22) = 40. We want to randomly select 2 fish and come up with 2 goldfish. The probability for 1 goldfish to be taken out would be 18/40.
Now, after drawing the first fish, the probability to get another goldfish would be 17/39. And the probability to draw 2 goldfish would be the product of both probabilities.
P = (18/40)(17/39) = 51/260
Thus, the answer is <span>B.</span>
Answer:
(x4+1)(x2-2)
Step-by-step explanation:
x6-2x4+x2-2
separate them into two different expressions
(x6-2x4)+(x2-2)
factor out the common factor for each expression. For (x6-2x4), it would be x4, and for (x2-2), it would just be 1
x4(x2-2)+1(x2-2)
since there both expressions have the same factor, you can do a reverse of the distribution property and factor it like
(x4+1)(x2-2)
They should use the conversion factor
1 mile = 5280 feet
To go from feet to miles, you divide by 5280
So,
4224 ft = 4224/5280 = 0.8 miles
The distance between their homes is exactly 0.8 miles
