Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
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∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR = = = 48°
Answer:
how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage
Step-by-step explanation:
After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra's error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared.!!
Answer:
The probability that the new baby just born is a boy is 0.6
Step-by-step explanation:
- B=Event where the nurse picked up a boy
- G=Event where the nurse picked up a girl
Applying Bayes's Theorem:
P(A|B)=P(A) P(B|A) / [ P(A) P(B|A)+ P(C) P(B|C) ]
Where:
- P(A|B)=probability that the new baby just born is a boy given that the nurse picked up a boy.
- P(A)=Probability that the woman had a boy= 1/2
- P(C)=Probability that the woman had a girl=1/2
The probability for P(A) and P(C) is 1/2 becuase there are only two options. Girl or Boy
n= number of girls born
3+n= Total number of children in the nursery
Then,
P(A|B)=
P(A|B)=3/5
P(A|B)=0.6
Answer:
Step-by-step explanation:
Opposite = BC ,
Adjacent = AB = x = 3 ,
Hypotenuse = AC = y = 22
<em><u>Using trigonometric ratios.</u></em>
Since we have adjacent and hypotenuse we use cosine's ratio
to find the angle.