Answer:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
Just Try 84 Bro..............
Given:
A line contains the points R(-1, 8), S(1, 4) and T(6, y).
To find:
The value of y.
Solution:
Three points are collinear if:
A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.
Subtract 12 from both sides.
Divide both sides by 2.
Therefore, the value of y is -6.
To calculate expected value,
We can add up the probability of all possible events.
The 2 possible events are either winning $50 or losing the prize, which is $ - 50
Expected value =
50 x 40 % + (-50) x 60%
= $-10
So the answer is $-10
The amount of metal used to make the can = surface area of cylindrical can, which is: D. 42π in².
<h3>What is the Surface Area of a Cylinder?</h3>
A can is a cylinder.
Surface area of a cylinder = 2πrh + 2πr²
Thus:
Amount of metal used to make the can = surface area of the can
r = 6/2 = 3 in.
h = 4 in.
Therefore:
Surface area = 2×π×3×4 + 2×π×3²
Surface area = 24π + 18π
Surface area = 42π in².
Learn more about the surface area of a cylinder on:
brainly.com/question/14657844
