Answer:
1. Angles 2, 3 and angles 1,3 are complementary angles(Given)
2. To prove :
Since Angles 2, 3 and angles 1,3 are complementary.
When angles are complementary, then the sum of the measures of angles is 90 degrees.
So, and (Definition of Complementary angles)
3. (Substitution)
4. (Subtraction property of equality)
Step-by-step explanation:
Answer:
probably somewhere in between 25 and 35
Step-by-step explanation:
you need to provide more information for full answer
Answer:
(0.4958, 0.7422)
Step-by-step explanation:
Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is . The estimated standard deviation is given by . Because we have a large sample, the 90% confidence interval for p is given by where is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is , i.e., (0.4958, 0.7422).
Answer:
8 =x
Step-by-step explanation:
2x+9=3x+1
Subtract 2x from each side
2x-2x+9=3x-2x+1
9 = x+1
Subtract 1 from each side
9-1 = x+1-1
8 =x
There is a special kind of substitution which some books call it by comparison.
When the two equations are both
y=some function of x
y=some other function of x, then
we can substitute the second equation into the first giving
some function of x = some other function of x and start solving.
For example,
<span>y = –2x + 8
y = x – 1
substitute second into first
x-1=-2x+8
isolate x on left,
3x=9
x=3
second step is to substitute x=3 into second equation to get
y=x-1=3-1=2
Therefore the solution is (3,2)</span>