Answer:
17) x = 58.1 units
18) x = 17 units
Step-by-step explanation:
The concept of similar triangles will be applied.
It is evident that the AAA congruence property is responsible for the similarity of the two triangles in the 2 cases. The theorem is
- Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other.
So, the corresponding sides from the two triangles can be written as a ratio of one another
17)
The most obvious tell here is the largest angle in the two triangles, the sides directly opposite this angle in the two triangles can be written in a ratio such that
(95.2/13.6) = 7
indicating that the bigger triangle is exactly 7 times the smaller one.
So,
(95.2/13.6) = (53.2/7.6) = (x/8.3) = 7
x = 7 × 8.3 = 58.1
18)
The obvious tell here is the smallest common angle for the two triangles, the two other corresponding sides can then be written in a ratio, matching the bigger side in the two triangles to each other.
(39.5/7.9) = (37.5/7.5) = (x/3.4)
(x/3.4) = 5 (Indicating thay the bigger triangle is 5 times bigger than the smaller one.
x = 3.4 × 5 = 17 units.
Hope this Helps!!!
Answer:
h = 8.5 inches
Step-by-step explanation:
Given that,
The volume of a rectangular prism = 1374.28 inches³
The prism is 9.4 inches wide and 17.2 inches long.
We need to find the height of the prism. We know that the formula for the volume of rectangular prism is given by :
V = lbh
Where
h is the height of the prism
So,
So, the height of the prism is equal to 8.5 inches.
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
Answer:
3rd one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given
= 13x
Multiply both sides by 2 to clear the fraction on the left side
x + 50 = 26x ( subtract x from both sides )
50 = 25x ( divide both sides by 25 )
2 = x ⇒ x = 2 → A
