Find the measurements

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

Answer:

X=75 y=90

Step-by-step explanation:

180-105=75

X=75

180-90=90

Y=90

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The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?

Phantasy [73]

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation: $\frac{5+x^{2} }{2} =4$ $\frac{-6+y^{2} }{2} = 3$

You multiply 4 by 2 which gives you 8 and write the equation $5+x^{2} =8$ then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation $-6+y^{2}=6$ then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates $\frac{5+3}{2}=\frac{8}{2} =4 \\$ $\frac{-6+12}{2} =\frac{6}{2} =3$ and you get the answer for the midpoint which is (4,3)

6 0

3 years ago

A certain new type of business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with eac

ella [17]

Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

3 such businesses are tested for success.

Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

with p = 0.6 and n =3

Required probability

=The probability that all 3 businesses succeed is:

= $P(X=3)\\= 0.6^3\\= 0.216$