35 if you want to count purple but 12 if your from orange
we know that
<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
Let
a,b,c------> the length sides of a triangle
The theorem states that three conditions must be met
<u>case 1)</u>

<u>case 2)</u>

<u>case3)</u>

therefore
<u>the answer is the option</u>
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01

Then the number defective parts follows a binomial distribution
.
Formula for variance =

Thus, 198 is the variance for the number of defective parts made each week.
Answer:
x=11
Step-by-step explanation:
Since this is a 90º angle, 46º+(4x)º has to equal 90º, and you can make and solve an equation for this:
46+4x=90
4x=44
x=11
Check:
46+4x=90
46+4(11)=90
46+44=90
90=90