Answer:
<h2>m∠EFG = 126°</h2><h2>m∠GFH = 54°</h2>
Step-by-step explanation:
If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°
(look at the picture).
We have
m∠EFG = 5n + 16
m∠GFH = 2n + 10
Substitute:
(5n + 16) + (2n + 10) = 180 <em>combine like terms</em>
(5n + 2n) + (16 + 10) = 180
7n + 26 = 180 <em>subtract 26 from both sides</em>
7n + 26 - 26 = 180 - 26
7n = 154 <em>divide both sides by 7</em>
7n/7 = 154/7
n = 22
Insert the value of n into expressions that specify angle measures:
m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°
m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°
Answer:
√18
Step-by-step explanation:
Step-by-step explanation:
Hey there!
The equation of a circle which passes through any point having centre (h,k) is;

In first blank ( x-_ ) keep "-2". In second blank (y - _ ) keep "4" and in last blank ( _ ) keep "36".
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Put a dot on -7 and -1 so the slope is 3 over 2x for the first inequality and the y is -1 do rise over run for each the slope for second is 1 over 1 put a dot for both on y axis (:
Answer:
a) 
And replacing we got:

b)
And adding we got:
c) 
And replacing we got:

Step-by-step explanation:
Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
We want to find this probability:

And replacing we got:

Part b

And adding we got:
Part c

And replacing we got:
