The diagram tells us 3 things: the right angle and the two corresponding side measurements. Because the side measurements are corresponding, we can set a proportion:
6/9=9/15
If this proportion is true, it means the triangles are similar. If this proportion is impossible, it means the triangles are no similar.
To calculate this, we use cross multiplication.
6/9=9/15
6*15=9*9
90=81
90 does not equal 81 making this proportion impossible, which concludes that these two triangles are not similar.
I hope this helps! Please comment if you have any questions.
Answer:
This is a really confusing question but I think that the remainder might be 10?
Answer: 6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.
Step-by-step explanation:
Let x represent the number of pounds of French roast coffee that should be added in the blend.
Let y represent the number of pounds of Sumatran coffee that should be added in the blend.
The total number of pounds of the mixture made is 20 lb. This means that
x + y = 20
The mixture sells for $8.30 a pound. The total cost of the mixture would be
8.3 × 20 = 166
This means that
9x + 8y = 166 - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
9(20 - y) + 8y = 166
180 - 9y + 8y = 166
- 9y + 8y = 166 - 180
- y = - 14
y = 14
x = 20 - y = 20 - 14
x = 6
360 is the answer
1. 36/3 = 12
2. 12 x 4 = 48
3. 12 + 48 + 300 = 360
12^2 +b^2 = 20^2 because of the Pythagorean theorem
144 + b^2 =400
B^2 =256
B=16