$138.78 is the rounded figure
Answer:
Step-by-step explanation:
Because this is a right triangle and you have all the side values, you can use any of the trig identities to solve for angle N. I'll just use sin (no reason; any of them will work and will give you the correct answer as long as you do it properly!)
sin of an angle is the side opposite the reference angle over the hypotenuse. For us, that looks like this:
and
sinN = .3243243243 and then hit the 2nd button and then sin to get:
and after that set of parenthesis, enter the decimal to get that
N = 18.9 degrees
Answer:
The width of the rectangle is <u>7 feet</u>.
Step-by-step explanation:
Given:
The perimeter of a rectangle is 54 feet, and the length is 13 feet more than the width.
Now, to find the width of the rectangle.
Let the width be
So, the length is
Perimeter = 54 feet.
Now, to get the width we put formula:
<em>Subtracting both sides by 26 we get:</em>
<em>Dividing both sides by 4 we get:</em>
Therefore, the width of the rectangle is 7 feet.
Answer:
7
Step-by-step explanation:
The answer of 8(x+12)=15x+47 is 7
if you need explanation just ask
I did not understand the second question, Y=12??
Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.
The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.
Hence by angle-side-angle the triangles BJI and CJG are equal.
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG