Answer:
XY = 10
Step-by-step explanation:
By the definition of midpoint, XM would be equal to MY, so we can set both equations equal to each other;
XM = MY
8 - t = 5t - 10
=> Now add "t" to both sides of "="
8 = 6t - 10
=> add 10 from each side;
18 = 6t
=> Finally divide 6 on each side
3 = t
Now that we have the value for t, we can substitute 3 in place of "t" in any of the equation above and solve, when we have the answer, multiply it by 2 to get the value for XY.
=> 8 - 3
=> 5
=> XY = 5 * 2
=> <u>XY = 10</u>
Hope this helps!
Answer: the answer is g( x) =12
Step-by-step explanation:
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
<span>x² – x + 8+ 10x² + 7 = 11x²-x+15
answer A</span>