To solve an algebraic equation, we need to get x by itself. We can start to do that by multiplying each side of the equation by 62 (to remove the denominator of x).
x + 89(62) = 92 * 62
Simplify
x = 92 * 62 - 89 * 62
Now we can factor out 62
x = 62 (92 - 89)
Now we can simplify the parenthesis
x = 62 * 3
x = 186
Minus a and minus c from both sides
2S-a-c=b
b=2S-a-c
Answer:
Therefore m∠ OZQ = 32°.
Step-by-step explanation:
Given:
To Find:
m∠ OZQ = ?
Solution:
Angle Addition property:
The angle addition postulate states that if a point is within an angle and you add the two angles that are made by drawing a line through the point that the total will equal the large angle.
i.e In the Figure we will have
Now substituting x = 2 in angle OZQ we get,
Therefore m∠ OZQ = 32°.
Answer: AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <em><u>this must be a concave pentagon. </u></em>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE:
DE:
Add those lengths and the remaining sides of the "rectangle shown below" to calculate the perimeter.
280+150+120.83+148.66= 699.49
Answer:
(-1, -1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( -11+9)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(0+-1)/2 = -1/2
(-1, -1/2)