1. vertical angle theorem and triangle angle sum theorem

2. The sum of the interior angles of a triangle = 180
so < x = 180 - (70 + 30) = 180 - 100 = 80
and < y is a vertical angle to < x...and vertical angles are equal..
so < y = 80

8 0

3 years ago

Can someone help me and explain this Algebra 2?

Tju [1.3M]

Nth term of gp = a(1 - r^n)/(1 - r), where n∞ = 10, n = ∞, a = 2, r < 1
10 = 2(1 - r^∞)/(1 - r)
10 = 2/(1 - r)
1 - r = 2/10 = 1/5
r = 1 - 1/5 = 4/5
An infinite deometric series with a beginning value of 2 that converges to 10 has common ratio of 4/5.

The first four terms are: 2, 1.6, 1.28, 1.024

5 0

2 years ago

The graph shows the distance y, in centimeters, a pendulum moves to the right (positive displacement) and to the left (negative

AVprozaik [17]

Time required for the pendulum to swing from its position furthest to the right to its position furthest to the left: 1.25 seconds

Step-by-step explanation:

A pendulum is a system consisting of a rod/string connected to a mass which is left free to oscillate back and forth around its equilibrium position, straight vertical.

The period of a pendulum is the time the pendulum takes to complete one full oscillation, that means it is the time the pendulum takes to go from its furthest position on the left to the same position again. It is calculated as

$T=2\pi \sqrt{\frac{L}{g}}$

where L is the length of the pendulum and g the acceleration of gravity.

The figure in this problem represents the position of the pendulum. We observe that the time it takes for the pendulum to do one complete oscillation is 2.5 seconds.

The time it takes for the pendulum to swing from its position furthest to the right to its position furthest to the left is half the period: therefore, it is

$\frac{T}{2}=\frac{2.5}{2}=1.25 s$

Learn more about period:

brainly.com/question/5438962

#LearnwithBrainly

6 0

2 years ago

63 +72 - 12 + 1522 + 3 - 5​

63 +72 - 12 + 1522 + 3 - 5