The direction of the graph would go <u>downwards</u> as it has a negative slope. Additionally, the line will start from 9 since that is the y-intercept.
<span>In triangle WXZ,
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
We can break it into two parts.
-> First, the rectangle on the bottom is made up of 2 feet x 16 feet. The formula for area of a rectangle is length times width, so in this case it is equal to 32 feet
-> Next, the triangle has sides of 10 feet, 10 feet, and 16 feet. We can calculate that the height is 6. The formula for area of a triangle is base times height divided by two, so,
48 feet
-> Last, we can add the two totals together. 32 feet + 48 feet = 80 feet giving us our final answer of 80 feet². As this answer is not pictured I am going to assume they are not including Heron's formula or other more complex formulas, leading us to the answer of "can't be determined"
Answer:
O can't be determined
Have a nice day! - <em>Note: It depends on the level of your math class for whether the answer "cannot be determined" is correct as it can be determined, just takes more effort than simple one - two-step formulas.</em>
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
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- Heather
The illustration of the program is shown in the figure. The missing value is the length of the shadow, that is the base of the right triangle. Since the figure is a right triangle, we can use the pythagorean theorems
c^2 = a^2 + b^2
where c is the longest length or the hypotenuse and a and b are the other two shorter legs. Let's denote the length of the shadow as 'a'.
a = √(c^2 - b^2)
a = √(36^2 - 35^2)\
a = √71 = 8.43 m