No triangle formed
Solution:
Given data:
One angle is 45°
Another angle is 108°
One side is 7 cm
To find how many triangles are formed for the given data.
Let the unknown side of a triangle be x°.
Sum of all the sides of a triangle = 180°
45° + 108° + x° = 180°
⇒ x° = 180° – 45° – 108°
⇒ x° = 27°
There is no such angle can be formed with 27° in the given image.
Hence there is no triangle can be formed.
Answer:
open
Step-by-step explanation:
Let's figure this out as though we have no idea what the answer would be.
Step One
Find the new five numbers.
3*3, 8*3, 12*3, 17*3, 25*3
9 , 24 , 36, 51, 75
Step 2
Find the average
(9 + 24 + 36 + 51 + 75)/5 = 195/5 = 39
Step 3
Subtract the individual numbers from the average
(39 - 9) = 30
(39 -24) = 15
(39 - 36) = 3
(39 - 51) = - 12
(39 - 75) = -36
Step 4
Square the results from Step 3
30^2 = 900
15^2 = 225
3^2 = 9
(-12)^2 = 144
(-36)^2 = 1296
Step 5
Take the average of the results from step 4
(900 + 225 + 9 + 144 + 1296)/5
2574 / 5 = 514.8
Step 6
Take the square root of the result from step 5
deviation = sqrt(514.8)
deviation = 22.689
Step seven
Compare the two standard deviations.
s2/s1 = 22.689 / 7.563 = 3
Conclusion
If you are given 1 set of numbers to find a population standard deviation and you multiply each member by a, then the result will be a * the standard population deviation of the first set of numbers.
Note
Your calculator will do this as well, but you have to know how to enter the data into your calculator. That requires that you follow the directions carefully.
Answer:
see explanation
Step-by-step explanation:
since the triangles are congruent, then corresponding angles are congruent.
∠ B = ∠ F
∠ FCE ≅ ∠ BDA
∠ EFC ≅ ∠ ABD
∠ FEC ≅ ∠ BAD
note that the order of letters in Δ ABD follows the same order as those in Δ BDA
