Answer:
18.75 ft
Step-by-step explanation:
The given scenario can be drawn as shown in the following attachment.
Given that,
and 
Therefore, 
ft
AB is the height of the house.
There are 109 terms in given series.
According to the statement
we have given that the sum of series is AP series and
This is 19 20.5 22 23.5 ... 181
And the sum of series is 10,900
Now, we have to find the number of terms in the series.
Then we use the summation formula which is
S = n/2 (a + L)
Substitute the all given values in it like
L = 181
A = 19 and S= 10,900
then
10,900= n/2(19+181)
10,900= n/2(200)
After solve the equation for n
10,900= 100n
n = 10,900 / 100
n = 109
There are 109 terms in given series.
So, There are 109 terms in given series.
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Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
3 gallons.
Step-by-step explanation:
We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.
Let us convert our given time in minutes.
1 hour= 60 minutes.
1/2 hour= 30 minutes.
So 2 hours= 120 minutes.
Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.
Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).
Therefore, Jen picked 3 gallons of strawberries in 2 hours.
The price of the new stock would $5.25 because you have to add the $4.75 and $0.50 to find the new price
