Answer:
D
Step-by-step explanation
I'd say it's PQR and TSR cause they match up in terms of the order of vertexes, and then you've got the angles of P and T that are in the middle of PR and TR, which are equal, and the sides PQ and TS. The angles are in between the sides.
Answer:
x=15
Step-by-step explanation:
So we know 4x plus 8x gets a total of 180 degrees (since a straight line is 180 degrees). Combine 4x and 8x to get 12x. To find x, divide 12 from 180. 180/12 is 15.
Answer:
The area of the rectangular deck is 36 sq feet.
Step-by-step explanation:
Let the width of the deck = k ft
So, the length of the deck = (4k) ft
Now, perimeter = 30 ft
PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)
⇒2( k + 4k) = 30
or, 2 x 5k = 30 ⇒ 10k = 30
⇒ k = 30/10 = 3
So, the width of the deck = k = 3 ft
Length of the deck = 4k = 3 x 4 = 12 ft
Now, AREA OF A RECTANGLE = LENGTH X WIDTH
So, the area of the rectangular deck = 3 ft x 12 ft
= 36 sq feet
Hence, the area of the rectangular deck is 36 sq feet.
The probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman is 0.0042.
P(woman) = 12/28
= 3/7
P(men) = 16/28
= 4/7
P(3 trouts) = P(3 trout | women)*P(woman) + P(3 trout | men)*P(man)
= P(3 trout | women)*(3/7) + (15C3 * (0.09^3)*(1-0.09)^(15*3))*(4/7)
= P(3 trout | women)*(3/7) + (0.00476)*(4/7)
P(woman | 3 trout) = P(3 trout | women)*P(woman) / P(3 trouts)
{P(3 trout | women) = p}
p*(3/7) / (p*(3/7) + (0.00476)*(4/7)) = 0.40
p*(3/7)/0.40 = (p*(3/7) + (0.00476)*(4/7))
p*((3/7)/0.40 - (3/7)) = (0.00476)*(4/7)
p = [(0.00476)*(4/7)] / [((3/7)/0.40 - (3/7))]
= 0.0042
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Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒ 
⇒ 
⇒ 
hence, the length of diagonal is 18 m
