Answer:

Step-by-step explanation:
The <u><em>Triangle external angle theorem</em></u> states that :An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see
see the attached figure with letter to better understand the problem
step 1
Find the measure of the interior angle at B
we know that
----> by supplementary angles (form a linear pair)

step 2
Find the value of x
Applying the triangle external angle theorem

solve for x



simplify

Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Numbers expressed using exponents are called base :)
Answer : 6 pieces
first you need to convert 3/4ths into 8th so you multiply
3/4 * 2 = 6/8
you can get 6 pieces of ribbon
Answer:
90 is the orrect answer because I said so
Step-by-step explanation: