<u>Answer</u>
First diagram shows 1 and 2 vertical angles
<u>Explanation</u>
From the all four diagrams,we get the diagram first shows the vertically opposite angles.
angle 1 and angle 2 are vertically opposite angles
vertically opposite angles are equal in measurements. when two lines are intersect each other form four angles, out of this four angles two pairs of vertically opposite angles are there.
All other figures angle 1 and 2 shows adjacent angles.
i can barly read the image when i open it but, i think its d
Answer:
FV(n)=42,000(1.04)^n
Step-by-step explanation:
FV=PV(1+r/n)^nt
Where
FV=future value
PV=present value
r=interest rate
n=number of periods
t=time (years)
PV=42,000
r=4%=0.04
n=1
t=n
FV(n)=p(1+r/n)^nt
=42,000(1+0.04/1)^1*n
=420000(1+0.04)^n
=42,000(1.04)^n
FV(n)=42,000(1.04)^n
Answer: c)[50,60]
Step-by-step explanation:
The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).
We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.
Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.
i.e. about 68% of the heights of students lies between 
i.e. about 68% of the heights of students lies between 
Here, 
i.e. The required interval that contains the middle 68% of the heights. = [50,60]
Hence, the correct answer is c) (50,60)
Answer:
The Answer is: The first number is -70 and the second number is -68.
Step-by-step explanation:
Let f = first number and s = second number.
The sum of both is -138:
f + s = -138
The difference is -2
f - s = -2
Solve for f:
f = -2 + s
f = s - 2
Substitute:
s - 2 + s = -138
2s = -136
s = -68, the second number
Solve for f:
f = s - 2
f = -68 - 2 = -70, the first number
Proof:
f + s = -138
-68 + (-70) = -138
-138 = -138
Then:
f - s = -2
-70 - (-68) = -2
-70 + 68 = -2
-2 = -2
Hope this helps! Have an Awesome Day!! :-)
