In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have

On further solving, the value of CD will be
CD = 25.98
More about the trigonometry link is given below.
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Answer: OPTION B.
Step-by-step explanation:
By definition, reflection is a kind of transformation in which the lengths do not change.
As you can see in the figure, the length of PR is 8 units. Then, keeping on mind the definition, when the triangle PQR was reflected across the y-axis, the triangle P'Q'R' obtained has the same lenghts as the triangle PQR.
Therefore, you can conclude that the lenght P'R' would be: 8 units.
Answer: D. 64° and 90°
Steps:
A right triangle is a triangle with a 90° angle.
90° + 26° + x = 180°
116° + x = 180°
x = 180° - 116°
x = 64°
Answer:
y = - 3x + 4
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 ) = (3, - 5) and (x₂, y₂ ) = (0, 4)
m =
=
=
= - 3
The line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line
Try 3.14x2= 6.28 im so sorry if its wrong