Answer:
1
Step-by-step explanation:
<IHG = 162
<IHK = 4x + 4
<KHG = 8x + 2
<IHG + <IHK + <KHG = 180° (sum of angles in a triangle is equal to 180°)
See attachment for better illustration of the triangle
162 + (4x + 4) + (8x + 2) = 180
162 + 4x + 4 + 8x + 2 = 180
168 + 12x = 180
Collect liketerms
12x = 180 - 168
12x = 12
x = 1
Answer:
x=16
Step-by-step explanation:
From the Free Response Row,
For the Total Time(in minutes) column
Since x=55-3m and x=8(15-m)
Therefore:
55-3m =8(15-m)
55-3m=120-8m
Collect like terms
-3m+8m=120-55
5m=65
Divide both sides by 5
m=13
Therefore:
x=55-3m=55-3(13)=55-39
x=16
Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.

- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating
, but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>
, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>
. But, how do we decide between answers a and c? - If a line has point at its beginning,
, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
Answer:

Step-by-step explanation:
4x-8y+6=\\2(2x-4y+3)
4y^{2} -2y^{3} =\\2y(2y-y^{2} )