Answer:
m∠ABE = 62°
Step-by-step explanation:
Since, the given quadrilateral is a kite, diagonals will intersect at 90°.
Therefore, m∠AEB = m∠CEB = 90°
m∠BAE = 28° [Given]
m∠BCE = 58° [Given]
From ΔABE,
m∠BAE + m∠BEA + m∠ABE = 180°
28° + 90° + m∠ABE = 180°
m∠ABE = 180° - 118°
= 62°
Therefore, measure of angle ABE = 62°.
To move from scientific notation to standard from move the decimal point the number of places of the exponent on the 10. In this case the exponent is -11, so you will need to move 11 places to the left. You will get:0.0000000000556 in standard form.
Answer:
Option A.
Step-by-step explanation:
Note: Let as consider, we have to find the total amount after 9 years.
It is given that,
Principal amount = $1000
Rate of compound (yearly) interest = 15% = 0.15
Time = 9 year
The formula for total amount is
where, P is principal, i is rate of interest and n is number of years.
Substituting P=1000, i=0.15 and n=9, we get
So, the total amount after 9 years is $3517.88.
Therefore, the correct option is A.
Answer:
- adult tickets: $13
- student tickets $7
Step-by-step explanation:
The given equations are ...
4a +5s = 87
2a +2s = 40
We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.
(4a +5s) -2(2a +2s) = (87) -2(40)
4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses
s = 7 . . . . . . . . . . . . . . . . . .simplify
2a +2(7) = 40 . . . substitute for s in the second equation
2a = 26 . . . . . . subtract 14
a = 13 . . . . . . . divide by 2
Adult tickets cost $13; student tickets cost $7.
Answer:
30 + 6
Step-by-step explanation:
the product of 9 & 4 is 36,
so, 30 + 6 is 36.