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.
What do you need help with?
9514 1404 393
Answer:
B. x = 2√11
Step-by-step explanation:
The square of the length of the diagonal is ...
d² = 6² + 8² = 36 +64 = 100
Then the length of x is found from ...
d² +x² = 12²
x² = 144 -100 = 44 . . . . . subtract d²
x = √44 . . . . . . take the square root
x = 2√11
