The slopes of perpendicular lines are opposite and reciprocals.
Answer:
88°
Step-by-step explanation:
Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.
Since angle 2 is corresponding to the 92° angle,
angle 2 = 92°
Now we know that angle 1 and angle 2 are supplementary.
This means:
angle 1 + angle 2 = 180°
<em>(substitute known values)</em>
angle 1 + 92 = 180
<em>(subtract 92 on both sides)</em>
<h2>
angle 1 = 88°</h2><h2>
</h2>
Hope this helps, please say thanks if it does!
1. 11; 4
2. -64; 81
3. X+5; x+22,500
4. -13; -3
5. 8
6. 56F; 6F
7. -29/10 or -2 and 9/10
8. >; <; <
9. -2/9
The Bernoulli distribution is a distribution whose random variable can only take 0 or 1
- The value of E(x2) is p
- The value of V(x) is p(1 - p)
- The value of E(x79) is p
<h3>How to compute E(x2)</h3>
The distribution is given as:
p(0) = 1 - p
p(1) = p
The expected value of x2, E(x2) is calculated as:

So, we have:

Evaluate the exponents

Multiply

Add

Hence, the value of E(x2) is p
<h3>How to compute V(x)</h3>
This is calculated as:

Start by calculating E(x) using:

So, we have:


Recall that:

So, we have:

Factor out p

Hence, the value of V(x) is p(1 - p)
<h3>How to compute E(x79)</h3>
The expected value of x79, E(x79) is calculated as:

So, we have:

Evaluate the exponents

Multiply

Add

Hence, the value of E(x79) is p
Read more about probability distribution at:
brainly.com/question/15246027
Ok so I like to go in steps with these questions- first draw a picture and identify your variables.
W=width
L= 3w-1
Now we know that length times width gets us area so we plug in our variables into the area equation.
200 = w(3w-1)
When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0
Either factor that or use the quadratic formula to get
w= 8.33 and w= -8
Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.
Final answer:
w= 8.33ft
l= 23.99ft
*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*