Answer:
∠ ABC = 87°
Step-by-step explanation:
∠ ABD and ∠ DBE are adjacent angles and are supplementary, sum to 180° , so
2x - 17 + x + 32 = 180 , that is
3x + 15 = 180 ( subtract 15 from both sides )
3x = 165 ( divide both sides by 3 )
x = 55
Then
∠ DBE = x + 32 = 55 + 32 = 87° , thus
∠ ABC = ∠ DBE ( vertical angles )
∠ ABC = 87°
14, because 2x7=14. Every gift box uses 2 feet on ribbon. There are 7 gift boxes, so she needs 2+2+2+2+2+2+2 length of ribbon.
Answer:
Step-by-step explanation:
lets do 3/7.
3.0/7 is .4 and .2
.20/7 is .14 and 6/7
.4+.14 is .54
but with 6/7 hundredth you add 1 more
so .55
Answer:
34% of lightbulb replacement requests numbering between 47 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
Answer:
Simple Algebra
Step-by-step explanation:
First set the equations equal to each other. Second, combine like terms. You should now have 10 = x. Now substitute the ten for the x and solve.
