4)
I:3x+4y=67
II:5x-y=35
to eliminate y when they are added one of the equations must contain -ay and the other +ay (with a being some number)
in this case we have in I already a positive term and in II a negative, but they have different numbers
by using multiplication (property of equations) we can multiply II by 4 so the negative and positive parts match
II*4: 20x-4y=140
when I and 4*II get added this results in
3x+20x+4y-4y=67+140
23x=207
5)
in this case I and II were added which can be seen in the left side of the equation((3x+4y)+(5x-y)=8x+3y), so to get the right side we have to also add the right sides 67+35=102
so the full equation would be:
8x+3y=102
17X-7Y. You add or subtract the same variables, in this case you only have two x's and one y. So you add them, because you have a addition sign. 13x+4x and you leave the Y alone, because there is not another Y variable.
Let AB and CD be two equal chords on the circumference. If you consider the triangles AOB and COD, where O is the center of the circumference, you have:
- AO = CO, because they're both radii
- BO = DO, for the same reason
- AB=CD, given
So, the two triangles have the same side, and are congruent by the SSS theorem.
This implies that they also have the same angles, and in particular, the angles AOB and COD are the same.
Hey there! :)
Answer:
24 pages.
Step-by-step explanation:
Calculate how many pages 75% of 96 is:
96 × 0.75 = 72 pages.
Find how many pages do not have ads by subtracting the amount that have ads from the total:
96 - 72 = 24 pages.
Therefore, 1/4 of 96 or 24 pages do not have ads.
Answer:
102
Step-by-step explanation:
first you have to multiply 8 by 12 and then add the some with the leftover number
