Answer:
- (4x -4)° +x° +(6x-3)° = 180°
- J = 99°
- K = 64°
- L = 17°
Step-by-step explanation:
The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."
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<h3>equation</h3>
(4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle
<h3>solution for x</h3>
11x -7 = 180 . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 17 . . . . . . . . . divide by 11
<h3>angle values</h3>
m∠J = (6x -3)° = (6(17) -3)° = 99°
m∠K = (4x -4)° = (4(17) -4)° = 64°
m∠L = x° = 17°
We have sequence equation
.
In this case n is a natural number (1, 2, 3, ...).
So start inserting and computing value of
given that you know the value of n and a.
(first term)

Hope this helps.
Answer:
inches
Step-by-step explanation:
Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.

Cross multiply:

Divide both sides by '9' to solve for 'x':


Therefore, side length 'x' equals 26.25 in.