Answer:
x=63.25
Step-by-step explanation:
Hi there!
We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x
we need to find the value of x
Let's use trigonometry to do it
Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle
Recall that tangent is
in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)
so tan(49)=
plug tan(49) into your calculator; remember to have the calculator on degree mode
tan(49)≈1.15 (rounded to the nearest hundredth)
so that means:
1.15=
multiply both sides by 55 to clear the fraction
63.25=x
Hope this helps!
Answer:3(x-9) is expressed as 3x-27
Step-by-step explanation: 3(Xminus9)
3(X-9)
Use 3 to open the bracket by using 3 to multiply everything in the bracket.
Then you will get
3x-27
In the expression d-12, you understand that you are subtracting the value of 12 from any value of d
So if you have a greater value of d and you subtracted 12, you would be left with a greater value.
From the number line and your theory of numbers you know 46>42, therefore subtracting 12 from 46 will give a greater value.
Answer:
Step-by-step explanation:
We do not have access to Edmentum graphing tool, but we can offer the shape of the graph.
Since they are breads counts, they must not be less than zero.
The graph looks like what is shown in the attached figure.