Answer:
$15.45 i believe
Step-by-step explanation:
3% of 15 is 0.45. add 0.45 + 15 = 15.45
Answer: 7
Explanation:
List out the factors of 120 until we hit a gap
1,2,3,4,5,6,8
Note that 7 is not shown above. We can see that 120/7 = 17.14 approximately meaning that 7 doesn't go evenly into 120. So this is why 7 isn't a factor. Something like 3 is a factor because 120/3 = 40 is a whole number result.
Also, 7 is prime. The only factors of 7 are 1 and itself. This means that 7 and 120 do not have any common factors other than 1. The GCF of 7 and 120 is 1, leading to the two numbers being relatively prime
Side note: The term "coprime" is sometimes used in place of "relatively prime"
Answer:
Good Luck!
Step-by-step explanation:
Answer:
Swing two arcs above and below the radius.
Step-by-step explanation:
We want to determine which statement is NOT a step used when constructing an inscribed hexagon?
1. Swing two arcs above and below the radius.
False
2. Draw a radius of the circle using a straightedge. True
3. Place the compass on the point where the circle and radius intersect. True
4. Swing an arc the length of the radius from the point on the circle. True
The first choice is the correct answer.
AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°