Answer:
5.52m
Step-by-step explanation:
First, we can see that two similar triangles are formed. One similar triangle is the big triangle, with the base being 22.75m and the height being the tree's height. Another triangle is formed with Grayson's height as the height and the and the difference between where he is standing and the edge of the tree's shadow (the red outline in the picture) . We know that these are similar triangles because both the bases are parallel, as well as the heights and hypotenuses.
The base length for the triangle with Grayson as the height is 22.75-17.6 = 5.15 .
For similar triangles, we know that the ratios between sides are the same. For example, base₁/base₂ = height₁/height₂ . We can apply this here, making 5.15 base₁ and 1.25 height₁ (note that the same triangle's sides should be on top)
If we make the tree's height t, we thus have
5.15/22.75 = 1.25/t (height 2 is the tree's height
multiply both sides by t to remove one denominator
5.15 * t / 22.75 = 1.25
multiply both sides by 22.75 to remove the other denominator
5.15 * t = 1.25 * 22.75
= 28.4375
divide both sides by 5.15 to isolate the t
t = 5.52m
Answer:
36.4%
Step-by-step explanation:
When the number of non coffee drinkers is divided by the number of coffee drinkers, multiply that to find the percent.
X - 8 > 3x - 12
if solve for x then
Add 8 to both sides:
x - 8 + 8 >3x -12 +8
Simplify:
x > 3x -4
Now Subtract 3x to both sides
x - 3x > 3x - 4 - 3x
Simplify:
-2x > -4
Divided both sides by (-2)
-2x/-2 > -4/-2
Simplify
x > 2
Answer:
So since QRS is ~ another triangle, and they are not exactly similar, I assume that the problem wants you to compare QRS with another angle. QRS is closely congruent to UVW (assuming that you are comparing triangles not angles).
Step-by-step explanation:
All triangles have an angle total of 180 degrees. If you add those two angles together, they have the same sum, and the third anglecan be found by subtracting the total from 180. For example, 95+36 = 131. 180-131=49, which is the third angle for triangle QRS. You can do the same for UVW.
It is important to compare them in order. For instance, Triangle QRS would not be congruent to WVU since they are not in the same order. To compare them in the correct order, compare the angles. Q is about equal to U. R is about equal to V. S is about equal to W since they both have missing angles. Therefore, you can state that triangle QRS is about equal to UVW.