You just have to divide the decimals
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
Diameter of the semicircle = 10 km.
Explanation: perimeter of semicircle = 1 2
the circumference + diameter Given: perimeter of semicircle = 25.7 k
m
Circumference of circle with radius r
= 2
π
r where 2
r
= diameter ⇒
25.7
=
22
π
r
+
2
r
⇒
25.7
=
π
r
+
2
r
=
r
(
π
+
2
) ⇒
25.7
=
r
(
3.14
+
2
)
=
r
(
5.14
) ⇒
r
=
=5m
⇒d
i
a
m
e
t
e
r
=
2
r
=
10
k
m
5/7 is greater than 4/6 because 5/7 = 0.71 while 4/6 = 0.67
