3. The length of the line segment is 16 units
<u>Step-by-step explanation:</u>
Considering the properties of quadrilateral, opposite sides are parallel and equal, we can find the value of n, using that n value we can find the value of segment GH.
As given in the problem, sides FG and EH are parallel and so they are equal.
So we can write, the next side EF and GH is also parallel,
EF = GH
4n-4 = 2n+ 6
Grouping the terms we will get ,
4n - 2n = 6+ 4
2n = 10
n = 10/2 = 5
So GH = 2(5) + 6 = 10+ 6 = 16 units.
First you input the equation into the quadratic formula:
__________
x=<span><span><span>−<span>(<span>−2</span>)</span></span>±<span>√<span><span><span>(<span>−2</span>)</span>2</span>−<span><span>4<span>(1)</span></span><span>(5)</span></span></span></span></span>
</span> -----------------------------
2(1)
Next you simplify the formula:
___
x=<span><span>2±<span>√<span>−16
</span></span></span></span> ------------
2
This problem has no real solutions.
Answer:
20.485 Meters
Step-by-step explanation:
So first you wanna draw a diagram. Start with the tower, then on the ground to the left (or right) draw a point. The point will be labeled as 42 m away from the tower. Now draw a line from that point to the top of the tower. This makes your triangle, and that angle you just drew that touches the point is 26 degrees.
Now, since you have a right triangle you can use trig. You know an angle and a side. Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower. So opposite and adjacent is tangent. So you set up tan(26) = o/42 where o is the opposite side.
So solving you get o = 20.485 meters
Answer:
$400
Step-by-step explanation:
Let 'p' represent the original price, the 'p-0.3p' represents the sale price:
280 = p - 0.3p
.
Solving for 'p' we have p=400.
The original price of the television was $400
A quick way to answer all 1-10 is to multiply the starting price by 1.##. So for number 1 the equation would be 18 x 1.07 which equals $19.26. Question 2 would be
14 x 1.20 which equals $16.80. I think you got it from here.
