Answer:
- the angle at H is 120 degrees
- the missing segment is DC
Step-by-step explanation:
The "roof" FGH is bigger than 90 degrees because FG and GH are not acute. .
Without instruction we can assume FGH is 120 degree.
This means GHF is 30 degrees to complete the triangle FGH.
So the angle around H, or JHG is 90 + 30 = 120 degrees
For the ratio, we can simply look at the comparison between the small figure DJHGF
and the large figure DCBAE, and we see that the denominator
DJ in the small figure is DC in the large figure.
Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
Answer: 5/6
Step-by-step explanation:
You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.
Answer:
Since we cannot find the square root of a negative number (at least not using the real number system), we cannot evaluate the formula any further. There will be no solutions. Use the discriminant to determine whether the quadratic equation has two, one, or no solutions. The result is a negative number. i really hope this helps u. good luck my dude