Answer:
3 = 21 degrees
5 = 21 degrees
1 = 60 degrees
2 = 39 degrees
4 = 39 degrees
Step-by-step explanation:
This problem is really quite easy once you break it down. I assume you want an answer based on the attachment. If a triangle is Isosceles, then its bottom two angles are congruent, so angle 3 = angle 5.
Then, 138 degrees + x * 2 = 180 degrees.
x * 2 = 42 degrees
x = 21 degrees
So 3 and 5 are each 21 degrees
If a triangle is equilateral, then it is also equiangular, meaning each of its angles are equal to each other, and they are each 60 degrees. Then, we know angle 1 is 60 degrees. For 2 and 4, we want to take the measure of the combination of 2 and 3 (the full 60 degrees), and subtract it by the measure of angle 3 to get the measure of angle 2. 60 - 21 = 39 degrees. Angle 2 is 39 degrees. The same can be done with angle 5 and 4 because they are the same measurements.
Answer:
if asked to find stem leaf 245 scale key then 2 | 45 is what we could show to one side of the diagram.
We then use organise all numbers in numerical order lowest to highest in a horizontal list to copy.
Then draw a vertical line for your stem hopefully it is on lined paper.
single digits 1-9 go right side.
tenths get split keeping digits rights side
hundred units get split keeping tenth and single digits right side
and so forth so that nly the first number of larger numbers is on the left, just first digit. Being the first digit of numbers higher than 9.
Larger numbers that have 3 digits are more than double digits I've called 100th units
Numbers lower than 9 will be on rights side on the first line.
1-9 = 0 | 1 2 3 4 5 6 7 8 9
10-19 1 | 0 1 2 3 4 5 6 7 8 9
20-29 2| 0 1 2 3 4 5 6 7 8 9
100-110 = 1 | 00 01 02 03 etc.. becomes our first 100th line
We use thsi by counting how many numbers we have before drawing and by writing the scale key ie) 1|1 if 11 is shown etc. sometimes just called key.
Step-by-step explanation:
Answer:
1:4:12
Step-by-step explanation:
George = x
Alex = 12 + x
Carl = 3(12 + x) = 36 + 3x
x + 12 + x + 36 + 3x = 68
5x + 48 = 68
5x = 20
x = 4
George = x = 4
Alex = 12 + x = 12 + 4 = 16
Carl = 36 + 3x = 36 + 3(4) = 48
4:16:48 = 1:4:12
The ratio is 1:4:12.
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.
1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.
So we have an arithmetic series with a first term of 23 and a common difference of 4.
We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):
Sₙ = (n/2)(t₁ + tₙ)
where n is the term numbers, t₁ is the first term, tₙ is the nth term
We want to sum up to 22 terms, so we need to find the 22nd term
Formula for general term of an arithmetic sequence:
tₙ = t₁ + (n-1)d,
where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is
tₙ = 23 + (n-1)(4)
The 22nd term, which is the 22nd row, is
t₂₂ = 23 + (22-1)(4) = 107
There are 107 seats in the 22nd row.
So we use the sum formula to find the total number of seats:
S₂₂ = (22/2)(23 + 107) = 1430 seats
Total of 1430 seats.
If all the seats are taken, then the total sale profit is
1430 * $29.99 = $42885.70
Are there any opinions? i need to know to help you out, theres not much to go by:(
