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Yanka [14]
2 years ago
11

5.

Mathematics
1 answer:
enyata [817]2 years ago
7 0

Answer:

  (E) 90°

Step-by-step explanation:

The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.

Any angle of a rectangle is 90°.

_____

Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.

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5 0
3 years ago
Three poultry farms B1, B2, and B3 supply chicken eggs to the same local market. The market performs some quality testing on the
ipn [44]

Answer:

a. 0.58

b. 0.78

Step-by-step explanation:

a. The probability of egg come from B1 or B2

P(B1) = 3000/10000 = 0.3

P(B2) = 4000/10000 = 0.4

P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)

P(P1 ∪ B2) = 0.7 - 0.12

P(P1 ∪ B2) = 0.58

b. The probability that the market received an egg that is acceptable

P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)

P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000

P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000

P(received an egg that is acceptable) = 7800 / 10000

P(received an egg that is acceptable) = 0.78

4 0
3 years ago
How do you solve: Tori needed to take a taxi. The fare for
shepuryov [24]

Answer:  The required number of miles rode is 4.6875.

Step-by-step explanation: We are given to solve the following situation for the value of d :

Tori needed to take a taxi. The fare for  riding in a taxi is a $3 fixed charge and $0.80 per mile. The fare  for a ride of d miles is $6.75.

According to the given information, we have

3+0.80d=6.75\\\\\Rightarrow 0.80d=6.75-3\\\\\Rightarrow 0.80d=3.75\\\\\Rightarrow d=\dfrac{3.75}{0.80}\\\\\Rightarrow d=4.6875.

Thus, the required number of miles rode is 4.6875.

6 0
3 years ago
Point A is at (-1,-9) and Point B is at (2,4). What is the midpoint of line segment AB
Mkey [24]

Answer:

Midpoint( .5,-2.5)

Step-by-step explanation:

To find the midpoint, add the x coordinates and divide by 2 and then add the y coordinates and divide by 2

x:  (-1+2)/2 = 1/2=.5

y: (-9+4)/2 = -5/2 = -2.5

Midpoint( .5,-2.5)

6 0
3 years ago
Read 2 more answers
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