Answer:
x=3, y=10
Step-by-step explanation:
in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.
this means
y-4=6
y=10
Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that
6=x+3
x=3
Answer:
B x = sqrt(48)
Step-by-step explanation:
Half of the bottom side measures 4.
4^2 + x^2 = 8^2
16 + x^2 = 64
x^2 = 48
x = sqrt(48)
Answer: B x = sqrt(48)
Answer:
y = mx + c
m = -4
at y intercept x = 0
(x,y) =(0,-3)
-3 = -4(0) + c
c = -3
therefore the answer is y = -4x + c
Formula for area of parallelogram:
A= bh
Where b is the length of base and h is the height.
Here b=2.3+4.5 = 6.8 cm
and h= 4.5 cm
Put values in formula.
A= 6.8 x 4.5
A=30.6 cm²
Answer: 30.6 cm²
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E =4.266
The standard deviation is 
From the question we are told the confidence level is 99% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [\frac{2.58 * 2.539 }{4.266} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B2.58%20%20%2A%20%202.539%20%20%7D%7B4.266%7D%20%5D%20%5E2)
=>
