Answer:
Step-by-step explanation:
5). ∠2 ≅ ∠6
By corresponding angles theorem both the angles will be congruent.
6). m∠3 + m∠5 = 180°
If two lines are parallel and a transverse cut these parallel lines, pair of consecutive angles in one side of the transverse are supplementary.
[Consecutive interior angles theorem]
7). Given : m∠1 = 71°
Therefore, m∠1 = m∠5 = 71°
By corresponding angles theorem ∠1 and ∠5 are corresponding angles.
Answer:
Step-by-step explanation:
The given equations are:
2a+7b=0 and 3a-5b=31
Statement Reason
1. 10a+35b=0, 21a-35b=217 (Multiply first equation by 5 and second by 7)
2. 31a=217 (Adding both the equations)
3. a=7 (Dividing both sides by 31)
4. 2(7)+7b=0 (Substituting a=7 in first equation)
5.14+7b=0 (solving step 4)
6. 7b=-14 (Subtracting 14 on both sides)
You replace x by 18 so it becomes f(18)=1.50×18+12.50 and that should give you 39.50
Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
Answer:
B) - $377
Step-by-step explanation:
Loss for the first month = -$500
Profit for the second month = + $123
Total loss for two months = -$500 + $ 123
= - $377
Hint: if two numbers have different signs, then subtract and put the sign of bigger number.
