the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
Answer:
A.96.25 steps. B. Approximately 37 steps shorter
Step-by-step explanation:
From Pythagoras theory,
Hyp² = Adj² + Opp²
Hyp² = 52² + 81²
Hyp² = 2704 + 6561
Hyp² = 9265
Hyp = √9265
Hyp = 96.25 steps
= 81 + 52 = 133 - 96.25
= 36.75 or approximately 37 steps shorter
I believe there is no such AP...
Recursively, this sequence is supposed to be given by
so that
has to be an integer, which means there are 4 possible cases.
Case 1: 
and 
. But
Case 2: 
and 
. But
Case 3: 
and 
. But
Case 4: 
and 
. But
Answer:
p=1
Step-by-step explanation:
Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.
Sample size = 64
Std error of sample = 
Thus sample mean will follow normal with
(75, 0.625)
Required probability
=
It is almost a certain event with p =1
Answer:
Step-by-step explanation:
apply the indices law
- multiple means addition
- division means subtraction
- you are suppose to add the powers or subtract where necessary
- 4^9x 4^3= 4^5
- 6^5x6^2=6^7
- 8^6÷8=8^5
- 7^8÷7^6=7^2
