Answer:
a) BOC and AOD
b) BOA and AOE
c) BOE and EOD
d) BOA and AOD
e) AOE and EOD
Step-by-step explanation:
An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD
Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so, a pair of adjacent complementary angles are BOA and AOE.
Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles
Finally, AOE and EOD are adjacent angles that don’t form a linear pair.
Answer:
323 mod 5 = 3
−323 mod 5 = -3
327 mod 3 = 0
(64 * (-67) + 201) mod 7 = 6
(38^12) mod 6 = 4
(38^12) mod 3 = 1
Step-by-step explanation:
The modulo operation looks for remainders from the quotients. In order to find them, divide the whole number by the mod number. Then take just the decimal after the whole answer and multiply it by the mod number.
<u>323 mod 5</u>
323/5 = 64.6
.6 * 5 = 3
<u>−323 mod 5</u>
323/5 = -64.6
-.6 * 5 = -3
<u>327 mod 3</u>
327/5 = 109
0 * 3 = 0
<u>(64 * (-67) + 201) mod 7</u>
64 * -67 = -4288 + 201 = 4087
4087/7 = 583.85714
.85714 * 7 = 6
<u>(38^12) mod 6</u>
38^12 = 9.07x10^18
9.07x10^18/6 = 1510956318082499242.6666667
.666667 * 6 = 4
<u>(38^12) mod 3</u>
38^12 = 9.07x10^18
9.07x10^18/3 = 3021912636164998485.333333
.3333333 * 3 = 1
Answer:
5y-1
Step-by-step explanation:
3y+3y+5+7x^3-y-6-7x^3
3y+3y-y= 5y
7x^3-7x^3 cancel each other out
5-6= -1
Answer:
a) 9 km
b) 18 km
c) She runs at a constant speed of 9 km/h
Step-by-step explanation: