Answer:
y=19
Step-by-step explanation:
2y + 2 = 180 - 120 -20
2y = 40 - 2
2y = 38
y=19
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer:
Average: 26.223529411764706 (Please round to the place value necessary since it does not say in the question.)
Step-by-step explanation:
We first find the number of items sold: 170
Then we find the total cost: 4458
We then divide 4458 by 170
We end up with the answer 26.223529411764706. (Please round to the place value necessary since it does not say in the question.)
Answer:
24.75m ≤ 30m < 35.75m
Step-by-step explanation:
Minimum area:
5.5 (lower bound of 6m) * 4.5 (lower bound of 5m) = 24.75m
Maximum area:
6.5 (upper bound of 6m) * 5.5 (upper bound of 5m) = 35.75m
Normal area:
6*5=30m
I hope that makes some sense or helps a little!
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
