Answer:
M<C = 37 degrees
M<D = 86 degrees
M<DEC = 111 degrees
Step-by-step explanation:
The exterior angle theorem can be measured by the hypotenuse of a 90 degree angle. Since there is no hypotenuse in the matrix, you don't need to make it positive :)
Therefore, after using this theorem, I came to the conclusion that m/C would be 37 degrees, since I calculated the measure of the angle. I used the same tactic on m/D and m/DEC.
I hope this helps :)
Step-by-step explanation:
<em>1</em><em>1</em><em>)</em><em> </em><em>PnQ</em><em>=</em><em>QnP</em>
<em>or</em><em>,</em><em> </em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>}</em><em>n</em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>}</em><em> </em><em>=</em><em> </em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>}</em><em> </em><em>n</em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>}</em>
<em>or</em><em>,</em><em> </em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>}</em><em> </em><em>=</em><em> </em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>}</em><em> </em><em>.</em><em>Ans</em>
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22

<u><em>Step(ii):</em></u>-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
<u>The value of the expression is -35.</u>
<u>Step-by-step explanation:</u>
<u>Consider the provided expression.</u>
<u>3x + y </u>
<u>We need to find the value of the expression for x=13 and y=−74 .</u>
<u>Substitute the value of x=13 and y=−74 in the above expression as shown:</u>
<u>3 (13) + (-74)</u>
<u>39 - 74 </u>
<u>-35</u>
<u> the value of the expression is -35.</u>
Answer:
slope that is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(- 3, 3)
m =
= 
Division by zero is undefined
Thus the slope of AB is undefined