Answer:
<span>y=−24</span>
Explanation:
<span><span>18</span><span>(5y+64)</span>=<span>14</span><span>(2y+20)</span></span>
multiply both sides by 8:
<span>5y+64=2<span>(2y+20)</span></span>
multiply out brackets:
<span>5y+64=4y+40</span>
subtract 4y from both sides:
<span>y+64=40</span>
subtract 64:
<span>y=40−64=−24</span>
<span>y=−<span>24
</span></span>
5/6. 15 and 18 both have a common denominator of 3 (3*5 & 3*6). So if you do (15/3)/(18/3) you will get 5/6
Answer:
Step-by-step explanation:
Let's write a system of equations. I'm going to call them w, x, y, and z.
w = 4x (because m∠1 is 4 times m∠2)
w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)
w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)
y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)
When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!
Answer:
1 1/2 or 3/2
Step-by-step explanation:
8 1/4 divided by 5 1/2
Convert to improper fraction
33/4 divided by 11/2=66/44
Simplify this to get 1 1/2 or 3/2
