Complete question:
CHECK ATTACHMENT FOR THE DIAGRAM.
Answer:
Angle 7 is 76°
Step-by-step explanation:
From the diagram, notice that angle 4 = angle 5
That is,
Δ4 = Δ2
Because vertically opposite angles are equal.
Δ4 = 7x
Δ2 = 126
So
126 = 7x
Divide both sides by 7
x = 126/7 = 18
Again, angle 5 = angle 7
Δ5 = Δ7
Because vertically opposite angles are equal.
Since Δ5 = (4x + 4)°
And x = 18
Then
Δ7 = 4(18) + 4 = 72 + 4 = 76°
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 71,800 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 71,800
New Number: 7.1800
Step 2
Now, to find b, count how many places to the right of the decimal
New Number: 7 . 1 8 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 7.18 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
7.18 x 104
Step 4
Check your work:
104 = 10,000 x 7.18 = 71,800
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Answer:
350 adult tickets were sold
Step-by-step explanation:
Let x represent the number of adult tickets sold.
Since there were 60 fewer student tickets sold than adult tickets, the number of student tickets sold can be represented by x - 60
Create an equation that sets up these terms equal to 640, then solve for x:
(x) + (x - 60) = 640
2x - 60 = 640
2x = 700
x = 350
So, 350 adult tickets were sold
Division property of equality
2 way table
cola water milk total
boy 12 4 16 32
girl 14 9 5 28
Total 28 13 21 60
