Answer:
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Step-by-step explanation:
ababababababbabababababachehcehce
Answer:
Step-by-step explanation:
W=180-144
W=36 degrees
The sum of angles in a triangle always sum to 180 degrees.
6x+1+7x+36=180
13x+37=180
13x=143
x=11
U=6x+1
U=6(11)+1=67 degrees
V=7x
V=7(11)=77 degrees so
x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.
Step-by-step explanation:
Answer:
The length of segment AC is 10 units ⇒ 1st answer
Step-by-step explanation:
Look to the attached figure
In circle A
∵ AB is a radius
∵ BC is a tangent to circle A at B
- The radius and the tangent are perpendicular to each other
at the point of contact
∴ AB ⊥ BC at point B
∴ m∠ABC = 90°
In ΔABC
∵ m∠B = 90°
∵ AB = 8 units
∵ BC = 6 units
- By using Pythagoras Theorem (Square the hypotenuse is
equal to the sum of the squares of the other two sides of
the triangle)
∵ (AC)² = (AB)² + (BC)²
∴ (AC)² = (8)² +(6)²
∴ (AC)² = 64 + 36
∴ (AC)² = 100
- Take √ for both sides
∴ AC = 10 units
The length of segment AC is 10 units
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