Simply simplify the ratios/fractions into their simplest fraction form and divide the numerator by the denominator. If they are equal, they are in fact proportions, if not, they aren't
Lines equal 180°. The line with angles 5 and 7 equals 180°. If angle 7 equals 61°, then angle 5 equals 119° (180° - 61°= 119°).
Angles 5 and 8 are opposite vertical angles, which are always congruent (equal), so angles 5 and 8 both equal 119°.
119° (angle 5) + 119° (angle 8)= 238°
ANSWER: The two angles total 238° (bottom choice).
Hope this helps! :)
5 dozen = 5x12 = 60 per batch
60x3 =180 cookies in total.
Answer: C
cosA=AC/AB
sinB=AC/AB
hence cosA=sinB
the picture in the attached figure
Applying the Pythagorean Theorem
Find the lengths of the two sidewalks
Step 1
square section
D=√{15²+15²}
D=√450 m
D=21.21 m
Step 2
rectangular section
D=√{15²+8²}
D=√289 m
D=17 m
Step 3
the sum of the lengths of the diagonals of the two sections is
17m + 21.21 m = 38.21 m
the answer is
38.2 m