Angle 5 is identical to Angle 2
so it would be 27 degrees
Answer:
(4,9)
Step-by-step explanation:
If f(x) is a function, the function f(x) + a is a function translated a units up vertically. <em>Hence, all the y-coordinates of the coordinates of the points on the function will shift up by a.</em>
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For this problem, we need to find corresponding coordinate of (4,4) of f(x) + 5. <em>This means that the y-coordinate of this coordinate will increase by 5 and x will stay the same</em>.
Hence, corresponding point for f(x) + 5 for the point (4,4) would be (4,4+5) OR (4,9).
Answer:
Angle MON is 98°
Step-by-step explanation:
The measure of the straight angle is 180°
∵ ∠LON is a straight angle
∴ m∠LON = 180°
∵ Ray OM intersects line LN at O
∴ OM divides ∠LON into two angles ∠LOM and ∠MON
∴ m∠LOM + m∠MON = m∠LON
- Substitute m∠LON by 180°
∴ m∠LOM + m∠MON = 180°
∵ m∠LOM = 8 x + 58
∵ m∠MON = 3 x + 89
- Substitute them in the equation above
∴ (8x + 58) + (3 x + 89) = 180°
- Add the like terms in the left hand side
∴ (8 x + 3 x) + (58 + 89) = 180°
∴ 11 x + 147 = 180
- Subtract 147 from both sides
∴ 11 x = 33
- Divide both sides by 11
∴ x = 3
Substitute the value of x in the measure of angle MON to find it
∵ m∠MON = 3(3) + 89
∴ m∠MON = 9 + 89
∴ m∠MON = 98°
P=400 (your amount invested)
r=.02 (rate as a decimal)
n=1 (number of times compounded per year, annually meaning 1)
t=6 (number of years invested)
you must follow orders of operations when you plug these things in your calculator.
1st step) do .02/1 to get 0.2 then add 1 to get 1.02. raise this to (1*6)and you get roughly 1.126, now multiply this by 400 to get answer D 450.46.
The dot on -1 is open, so the number -1 is not included. You need all real numbers greater than -1.
Answer: D
