Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The <u><em>incenter</em></u> is the point where the three angle bisectors of a triangle meet
therefore
In this problem
Solve for x
The value of x is 5
<h3>Further explanation</h3>Firstly , let us learn about trigonometry in mathematics.
Suppose the ΔABC is a right triangle and ∠A is 90°.
<h3>sin ∠A = opposite / hypotenuse</h3><h3>cos ∠A = adjacent / hypotenuse</h3><h3>tan ∠A = opposite / adjacent </h3>Let us now tackle the problem!
<em>The incenter of triangle RST</em><em> is the intersection between all of the angle bisectors from the three vertices of triangle.</em>
<em>From the attachment , it can be concluded that:</em>
∠ZAS = ∠ZBS = 90°
∠ZSA = ∠ZSB
ZS of ΔZSA is coincided with ZS of ΔZSB
<em>∴ </em><em>ΔZSA is congruent to ΔZSB</em>
<em>From the information above , then :</em>
∠ZSA = ∠ZSB
( 5x - 9 )° = ( 16 )°
5x = 16 + 9
5x = 25
x = 25 ÷ 5
<h3>x = 5</h3>The value of x is 5
Grade: College
Subject: Mathematics
Chapter: Trigonometry
Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle , Congruent
Answer:
y = x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = =
=
= 1
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line