Question 1:
Here's an interesting property of trapezoids:
Since this is a trapezoid, we know the following:
a+36 = 180
b+113 = 180
We only want to solve for a
a + 36 = 180
Subtract both sides by 36
a = 144
Your answer is the second choice.
Question 2:
Since LM is the midsegment, the length of LM is the average of the length of AB and DC.
(AB + DC) / 2 = LM
(46 + 125) / 2
= 171 / 2
= 85.5
The last choice is your answer.
Have an awesome day! :)
Answer:
boto
Step-by-step explanation:
pink dolphin
Distributing the 2nd power in the parenthesis. Make sure you put each variable and constant to the 2nd power (power^power=power*power)
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
Answer:
units
Step-by-step explanation:
Recall that the area of a sector is 
where 
is the radius and 
is the angle of the sector (measured in radians).
Therefore, the radius of the sector is:
So, the radius of the sector is units.
