2. 4/6 , 6/9
3. 2/4 , 3/6
4. 8/10 , 12/15
5. =
6. >
7. >
8. =
9. =
10. <
11. =
12.
Answer:
60°
please look into the solution down here.
Step-by-step explanation:
since BD bisects it, then the angles should be bisected symmetrically, or in other words, ANGLE ABD = angle DBC,
hence,
4x = 2x +30
2x = 30
x = 15
therefore, angle DBC = 2x + 30 = 2(15) + 30 = 60°.
- to a point which is more than halfway to the point F. Then draw an arc around the point. Next place the compass point at F and, keeping the same distance between the points of the compass, draw another arc so as to intersect the first arc at 2 points above and below the line EF. Finally draw a line passing through these 2 points of intersection. This is the perpendicular bisector of EF.
Answer:each album costs $7 and you buy x of them
cost of albums = 7x
each movie costs $8 and you have you have y of them
cost of movies = 8y
total cost is has to be less than $47
---> 7x + 8y < 47
sketch the graph of 7x + 8y = 47 , a straight line, and shade in the region below that line. Of course you would stay in the first quadrant, (x > 0, and y >0 , since you can't have negative number of movies and albums)
Since you can't buy partial albums and movies, both x and y have to be whole numbers.
So for solutions you would consider only ordered pairs that have whole numbers as their components.
e.g. (2, 2) or (1,5)
Step-by-step explanation: Hope this helps :)
