Answer:
No
Step-by-step explanation:
By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.
Thus,
where where a and b are the legs and c is the hypotenuse.
Let a=6ft, b=21ft and c=23ft, then




which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.
Given:



To find:
The measure of angle MFZ.
Solution:
In triangles MFZ and PFZ,
(Right angle)
(Given)
(Common side)
(HL congruent postulate)
(CPCTC)




The value of x is 10.
The measure of angle MFZ is:



Therefore, the measure of angle MFZ is 19 degrees.
Answer:
2. The amount of soup in a can
3. The amount of chips in a bag of chips
5. The amount of chocolate that makes up a chocolate bar.
Step-by-step explanation:
Volume is the amount that a substance or object occupies, or that is enclosed within a container, so 1 and 4 wouldn't make sense since 1 is a shadow that doesn't take up anything three dimensional, and same goes with 4.
Answer:
Step-by-step explanation:
Assuming a normal distribution for the amount spent by Canadian households for high-speed broadband access, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = amount spent by the Canadian households.
u = mean amount spent monthly.
s = standard deviation
From the information given,
u = $80.63 CDN
s = $27.32 CDN
We want to find the probability that the average amount will exceed $85. It is expressed as
P(x greater than 85) = 1 - P(x lesser than or equal to 85)
For x = 85
z = (85 - 80)/27.32 = 0.18
Looking at the normal distribution table, the corresponding z score is 0.57142
P(x greater than 85) = 1 - 0.57142 = 0.43
Volume is length x width x height.
So, 2x8x5= 80 cubic centimeters