The midsegment theorem says that the midsegment is half the third side and parallel as well. 20*2 is 40 so x = 35
Answer:
<h3>B. 4units</h3>
Step-by-step explanation:
Find the diagram attached. The diagram is a similar triangle.
From the diagram, XZ/XY = CA/AB
Given XZ = 2x-2+2x-2 = 4x-4
XY =5x-7
CA = 2x-2
AB= x+1
On substituting this parameters into the formula to get x first
4x-4/5x-7 = 2x-2/x+1
cross multiply
(4x-4)(x+1) = 5x-7(2x-2)
open the parenthesis
4x²+4x-4x-4 = 10x²-10x-14x+14
4x²-4 = 10x²-24x+14
10x²-4x²-24x+14+4 = 0
6x²-24x+18 = 0
x²-4x+3 = 0
x²-3x-x+3 = 0
x(x-3)-1(x-3) =0
(x-3)(x-1) = 0
x = 3 and 1
Next is to get length AX.
Given AX = 2x-2
Substitute x = 3 into the expression
AX = 2(3)-2
AX = 6-2
AX = 4 units
Hence the measure of length AX is 4 units
Step-by-step explanation:
x'=53
σ=16
n=144
a) hypothesis
H0:µ=55
Ha:µ<55
This is a left tailed test
b) Test statistics
- z=(x'-u)/(sigma/sqrt {n})
=(53-55)/(16/sqrt{144})
=-1.5
c)Pvalue at z=|-1.5|
pvalue= p(z>1.5)
=1-0.933193
=0.066807
=0.0668
<u>Decision</u>
since pvalue>alpha(0.05) fail to reject the null hypotheis.
<u>Conclusion</u>
There is not sufficient evidence to support the claim the new computer program has not reduce the time to retrieve the data.
d)since Pvalue>alpha(0.025),so fail to reject the null hypothesis.
No, change in conclusion.
You need to find what 34 is 25% of.
I personally would take 34 and divide it by .25 (25%) to get your answer and then to double check it, multiple the answer you get by 25%


so originally the farmer had 136 kg of apples of I'm not mistaken.
Answer:
14 m
Step-by-step explanation:
For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!