<h3>
Answer: y = 14</h3>
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Explanation:
The two angles involving x add up to 180 degrees. This is because they are same side interior angles (and because the horizontal lines are parallel)
So,
(angle BCF) + (angle EFC) = 180
(5x - 66) + (2x + 50) = 180
5x - 66 + 2x + 50 = 180
7x - 16 = 180
7x - 16+16 = 180+16 ... add 16 to both sides
7x = 196
7x/7 = 196/7 .... divide both sides by 7
x = 28
This will be used to help find y
Notice how the angles BCF and ACD are vertical angles, therefore they are congruent or the same measure
angle ACD = angle BCF
9y - 52 = 5x - 66
9y - 52 = 5*28 - 66 ..... replace x with 28 (since x = 28)
9y - 52 = 140 - 66
9y - 52 = 74
9y - 52+52 = 74+52 .... add 52 to both sides
9y = 126
9y/9 = 126/9 .... divide both sides by 9
y = 14
Your answer is in the attached picture.
Hope this helps,
♥Nikki♥
Answer:
B
Step-by-step explanation:
The composite figure consists of a triangle and a semicircle.
The area (A) of the triangle is calculated as
A = 0. 5 bh ( b is the base and h the perpendicular height )
here b = 2 × 4 = 8 and h = 3, thus
A = 0.5 × 8 × 3 = 12 in²
The area (A) of the semicircle is calculated as
A = 0.5πr² ← r is the radius = 4, thus
A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π
Sum the 2 areas together for area of composite shape, that is
area of composite shape = ( 8π + 12 ) in² → B
Answer:
60 degrees
Step-by-step explanation:
angle y is vertically opposite to angle a, (we can call it.)
angle x is supplementary to the other angle inside the triangle, which we can call angle b.
so, angle a is 60 degrees, as vertically opposite angles are equal
angle b is 60 degrees as supplementary angles = 180
based of the sum of angles in a triangle is 180 theorem;
60+60+unknown= 180
so unknown is 60 degrees
