Answer:
13 m
Step-by-step explanation:
<u>The distance x is:</u>
x = √12² + (13 -8)² = √144 + 25 = √169 = 13 m
Answer:
0.292
Step-by-step explanation:
Combinations can be used to solve the following problem.
We are choosing 5 widgets from 25 = ²⁵C₅
We want to select zero widgets from defective widgets = ⁵C₀
From the 20 non-defective widgets we want to select 5 = ²⁰C₅
So the probability is:
P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅
P = (1 * 15504) / 53130
= 15504/ 53130
=0.292 ..
Numerical, subtraction, s
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.