Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement Reason
RS ⊥ TS and RV ⊥ TV Given
∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,
hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°
ST ≅ VT Given
RT ≅ RT Reflexive property of congruence
ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For
two right triangles, if the hypotenuse and leg
of one triangle is the same as the hypotenuse
and leg of the second triangle, then the two
triangles are congruent.
RS ≅ RV Definition of congruency.
Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by
(nCx).(p^x)⋅((1−p)^(n−x))
Where success on an individual trial is represented by p.
In the given question, obtaining heads in a trial is the success whose probability is 1/2.
Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))
= 1/(2^6)
= 1/64
80.75 / 8.50 = 9.5
Sean worked 9 and a half hours.
Answer:
k = -6/35
Step-by-step explanation:
To make the function continuous
kx^2 = x+k
These must be equal where the function is defined for two different intervals
This is at the point x=-6 so let x=-6
k(-6)^2 = -6+k
36k = -6+k
Subtract k from each side
36k-k = -6+k-k
35k = -6
Divide by 35
35k/35 = -6/35
k = -6/35
Answer:
81 square inches
Step-by-step explanation:
area of a square= s^2
