Answer: x = 30' , y = 45'
hope this helps
Step-by-step explanation:
U is 90' it's a right triangle
well simple VRT you already know 2 angles which is 60' and 90'
R = 60'
V = 90'
T = x
you know that a triangle = 180'
so you do
180 - 60 - 90 = x
30 = x
if you want to do y
then you already know that U is 90' on both sides.
since you also know S,
S = 45'
U = 90'
V = y
180 - 90 - 45 = y
45 = y
Answer: a=19
Step-by-step explanation: In order to solve this question, we must first take out the parenthesis, we can do this by taking 1/3 and multiply it by a and 5. This will give us 8=1/3a+5/3, with this we can subtract 5/3 on both sides of the equation, which will then give us, 19/3=1/3a. Last, we can divide 19/3 by 1/3 giving us 19 as our final anwser. a=19
The answer is D! if you sub them in :)
The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.
<h3>Correct Response;</h3>
The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>
<h3 /><h3>Method by which the above value is obtained;</h3>
The possible diagram in the question is attached
Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.
ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.
By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;


tan(∠CDE) = tan(∠BAE)
Therefore;

Which gives;
16 × (20 - x) = 25·x
320 = 41·x
x = 320 ÷ 41 ≈ 7.8
The point on the wall she should aim if she's standing at point <em>A</em> is therefore;
- <u>A, 7.8 feet away from point </u><u><em>B</em></u>
Learn more about trigonometric ratios here:
brainly.com/question/4326804