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2 years ago

Helppppp idk how to do that?

Mathematics

1 answer:

frozen [14]2 years ago

3 0

Answer: a). 136 degree. b). A kite

Explanation:

360 = POR + OPT + ORT + 44

OPT = ORT = 90 (line TP and TR tangent to the circle)

360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136

B). OPTR is a kite because OP = OR and TP = TR

Definition of a kite:

A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.

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X=16-4y. systems of equations 3x+4y=8<br> substitution

alina1380 [7]

Answer:

x=-4 y=5

Step-by-step explanation:

Rewrite equations:

x=−4y+16;3x+4y=8

Step: Solvex=−4y+16for x:

x=−4y+16

Step: Substitute−4y+16forxin3x+4y=8:

3x+4y=8

3(−4y+16)+4y=8

−8y+48=8(Simplify both sides of the equation)

−8y+48+−48=8+−48(Add -48 to both sides)

−8y=−40

−8y

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(Divide both sides by -8)

y=5

Step: Substitute5foryinx=−4y+16:

x=−4y+16

x=(−4)(5)+16

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Answer:

x=−4 and y=5

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3 years ago

Read 2 more answers

8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.

PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

There are three cases that satisfy this condition

first ball picked is 5, the others are not
first ball is not 5, second is 5, third is not
first and second ball is not five, third ball is 5

Each probabilities are:

$\frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}$
$\frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}$
$\frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}$

Thus, one of the balls selected is the number 5 is then $\frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}$

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3 years ago

Helppppp idk how to do that?​

Helppppp idk how to do that?