Answer:
x = 20
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to the exterior angle
x + 2x+10 = 70
Combine like terms
3x+10 = 70
Subtract 10 from each side
3x+10-10 = 70-10
3x = 60
Divide each side by 3
3x/3 = 60/3
x = 20
Answer:
The similarity statement: FGHI ~ BCDE
Similarity ratio: 5:1
Step-by-step explanation:
The similarity statement is quite obvious, as there are only two rectangles shown, and the other one is "BCDE".
The similarity ratio is 5:1 because everything in the 1st (FGHI) rectangle is multiplied 5 times the values in the 2nd (BCDE) rectangle.
97.356 = (ninety) + (seven) + (three tenths) + (five hundredths) + (six thousandths)
Answer:
angle 1: angle of depression
angle 2: angle of elevation
angle 4: angle of elevation
Step-by-step explanation:
It's a matter of definition (and some amount of "common sense").
An angle of <em>elevation</em> is measured from the horizontal to a point <em>above</em> the horizontal.
An angle of <em>depression</em> is measured from the horizontal to a point <em>below</em> the horizontal.
Not surprisingly, the meanings of the words <em>elevation</em> and <em>depression</em> in this context are not terribly different from their usual English meanings.
For the fifteen days,
1, 2, 4, 8, 16, 32, .........
Doubling continues until after the 15th day. But since counting started after 1 penny is given, so n for the sequence would have to be = 16.
This sequence is a GP common ratio = 4/2 = 2/1 = 2
Sum of nth term of GP = a(r^n - 1) / (r -1)
where a = 1st term = 1,
n = 16, r = 2
Sum = 1*(2^16 - 1) /( 2 -1)
= (2^16 - 1) /( 1)
= (2^16 - 1) = 65536 - 1 = 65535
Money in 15 days = 65 536 pennies.