Answer:
x-4y = 8
Step-by-step explanation:
y– 1 =1/4 (x – 12)
Multiply each side by 4
4y -4 = x-12
Subtract x from each side
-x +4y -4 = -12
Add 4 to each side
-x+4y -4+4 = -12 +4
-x+4y = -8
Multiply by -1
x-4y = 8
Answer:
Step-by-step explanation:
Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.
ACD = BDC Properties of parallel lines.
DC = DC A line is equal to itself
DBA = CAB Property of parallel lines.
AC = DB Parts of Congruent triangles are congruent
3x + 15 = 7x - 9 Add 9 to both sides
3x + 15 + 9 = 7x
3x + 24 = 7x Subtract 3x from both sides.
24 = 7x - 3x
24 = 4x Divide by 4
24/4 = 4x/4
x = 6
Answer:
72km
Step-by-step explanation:
alex : tomos : annabelle = 2 : 3 : 4
if tomos drove 24km
tomos ratio is 3
so 3 --> 24
<em>1 --> 8 </em>
<u>total ratios --> 2 + 3 + 4 = 9</u>
so total journey is 9 --> 9 * 8 = 72km
Let x be the page number then x+1 would be the other page number (because the pages are two facing pages which means they follow on consecutively)
Then
(x)(x+1) = 156
x^2 + x - 156 = 0
x = 12 or x = -13( but x can't be a negative number)
so x = 12
and the next page is 13
1/2 - 3/11
Set both denominators (bottom numbers) to 22, so multiply the numerator of 1/2 by 11, and multiply the numerator of 3/11 by 2.
1/2 is now 11/22
3/11 is now 6/22
So, our new question is now : 11/22 - 6/22
Because the denominators are the same, all you have to do is simplify the top numbers.
So, 11-6 = 5
Therefore, your answer is 5/22
~Hope I helped!~