The answer to this question is answer choice C.
For the SSS postulate, we need 3 pairs of congruent sides. However, in the image, there are only 2 pairs.
The missing pair in the image is AC and DF. If those are congruent, the triangle can be proven congruent by the SSS postulate.
Hope this helps! :)
~AgentCozmo4, Junior Moderator
The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Answer:
D
Step-by-step explanation:
(3x³ - 10x² + 13x) - (5x³ + 4x² - 9x)
3x³ - 10x² + 13x - 5x³ - 4x² + 9x Change all terms after the subtraction sign to
the opposite sign (definition of Subtraction)
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x) Group like terms together
-2x³ - 14x² + 22x
≈5.61