A. 62. If you add up all of the numbers, you get 310, then take this number and divide it by 5. you divide it by five because there are five numbers given.
X= 70 degrees
Y= 70 degrees
Understand that every triangle has three angles and they add up to 180 degrees.
If I split this triangle in half the total degrees of each individual piece will be 90 degrees. A split in the isosceles triangle will also cause the 40 degrees to halved (thus, how I got 20 degrees in our 90 triangle).
Since we are dealing with an isosceles triangles two of the sides will be equal (hence, the dashes on the triangles sides). Therefore, x and y will also be equal.
Now if our 40 degreed angle is now 20 degrees, we have an unknown angle and the triangle in total now adds up to 90 degrees we can set up an equation.
20 + y = 90
Y = 70
Since X and Y are equal, X will also be 70.
If we return to to the isosceles triangle before it was split (use your photo for reference) and we add 40 +70 + 70 we will get 180 degrees. Which is the standard total of degrees for any triangle that is not a 90 degreed triangle.
I hope this helps. Feel free to ask questions.
Below I uploaded my work.
Answer:
E
Step-by-step explanation:
The problem says that triangle BDC lies in the plane k, which means that whatever angle is formed by another point beyond this plane with any of the three segments that form BDC (BD, DC, and BC) is the same as the angle formed by the line connecting the point and the plane.
Here, we're given that AD⊥DC, which means AD forms a 90° angle with DC. Then, since DC is already on the plane, we already know for sure that AD is definitely perpendicular to plane k.
Thus, the answer is E (none of these).
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Hello!</h2>
The answer is:
The answer is the fourth option,

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Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:

There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:

We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

So, evaluating the function we have:



Hence, we have that the answer is the fourth option,

Have a nice day!
Answer:
10/3 hours
Explanation:
If Maria practices 5/6 hours a day, then she practices (5/6)(4) hours in 4 days.
(5/6)(4)=20/6
20/6 can be simplified to 10/3 hours.
I hope this helps!