Answer:
d) x = 72°
Step-by-step explanation:
Corresponding Angles: The pair of angles formed on the same side of traversal which crosses two parallel lines is called a pair of corresponding angles.
These angles are EQUAL to each other.
Now, here in the given figure:
The two below lines are parallel to each other.
Also, the line crossing it on the right side forms a traversal.
So angle x and angle with 72 degrees form a pair of Corresponding Angles.
⇒ x = 72°
Hence the measure of angle x = 72°
55 times. All you needed to do was multiply 13 by 4 and then add three.
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm
I plugged the numbers into a triangle area calculator, which solved it this way:
, then i multiplied it by 3 to scale it, and came up with 120 or A
