The value of x would be 30 degrees.
<h3>What is the angle sum property?</h3>
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Let's consider an angle CAD be t.
In a triangle ABD
x + 90 + t = 180
t = 180 -x - 90
t = 90 - x ( by angle sum property)
Now, we know that the sum of the corresponding angle on a transversal is 180
So,
Angle A + angle D = 180
2x + t + x + x = 180
substitute the t value
2x + 90 - x + 2x = 180
3x + 90 = 180
3x = 90
x = 30 degree
Hence, the value of x would be 30 degrees.
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This triangle is an isosceles triangle because there are two angles which measure 54° and one angle which measures 72°
6x + 2y = 18
2y = -6x + 18
y = -3x + 9
Step-by-step explanation:
3x - y = 74
4y = x
Replace x in the first expression by 4y
3x - y = 74 ➡ 3(4y) - y = 74
12y - y = 74
11y = 74
y = 74/11 we can use this to find x
4y = x
4 × 74/11 = x
296/11 = x
Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft