Answer:
x = 1
GF = 12
GH = 15
FH = 3
Step-by-step explanation:
G___F___H
GH = GF + FH
11x +4 = ( 3x +9) + (5x-2)
11x+4= 8x + 7
11x - 8x = 7-4
3x = 3
x =3/3
x = 1
GF = 3x + 9 = 3(1)+9=3+9=12
GH = 11x +4= 11(1)+4=11+4 = 15
FH = 5x - 2 = 5(1) - 2 = 5 - 2 = 3
I hope I helped you^_^
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.
So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.




The answer is 28.1 degrees
Answer:
156
Step-by-step explanation:
Answer:
Option B
Option E
Step-by-step explanation:
By the use of following postulates we can prove the two right triangles to be congruent.
1). HA - [Equal hypotenuse and an cute angles]
2). LL - [Two legs should be equal]
3). LA - [One leg and one angle must be equal]
4). ASA - [Two angles and the side containing these angles should be equal]
In the given right triangles,
1). OJ ≅ IL
2). ∠O ≅ ∠I
3). ∠J ≅ ∠L
Therefore, two postulates HA, ASA will be applicable for the congruence of the two triangles given.
Options A and E will be the answer.
<span>(2d - 5)(2d - 4) = 4d^2 - 2d x 4 - 5 x 2d + 20 = 4d^2 - 18d + 20
Answer is B
Hope it helps! </span>