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2 years ago

Can you guys help? Hopefully the last question of the day/night!

Mathematics

2 answers:

Anettt [7]2 years ago

5 0

Answer and explain:

1st person: 70 % throws

70/100x80 = 56 out of 80 throws

2nd person: 60% throws

60/100x80 = 48 out of 80 throws

3rd person 50% throws

50/100x80 = 40 out of 80 throws

56+48+40/80x3 = 77/120

One equation that gives the estimated number of free throws (all the 3 people) is 77 out of 120. The best player will make about 56 out of 80 free throws.

igomit [66]2 years ago

5 0

Answer and explain: 1st person: 70% throws 70/100x80 = 56 out of 80 throws 2nd person: 60% throws 60/100x80 = 48 out of 80 throws 3rd person 50% throws 50/100x80 = 40 out of 80 throws 56+ 48+40/80x3 = 77/120 One equation that gives the estimated number of free throws (all the 3 people) is 77 out of 120. The best player will make about 56 out of 80 free throws.

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If triangle ABC is similar to triangle DEC, find the values of x and y.

Mumz [18]

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Step-by-step explanation:

The given are,

From ΔABC,

AB= 6

BC= 10

AC = x

From ΔDEC,

CD= 28

DE= 21

CE = y

Step:1

Pythagoras theorem from ΔABC,

$BC^{2}=AB^{2} + AC^{2}$ ...............(1)

Substitute the values,

$10^{2}$ = $6^{2}$ + $AC^{2}$

100 = 36 + $AC^{2}$

$AC^{2}$ = 100 - 36

= 64

AC = $\sqrt{64}$

AC = 8

AC = x = 8

Step:2

Pythagoras theorem for ΔDEC,

$CE^{2} = CD^{2} + DE^{2}$ ................(2)

From the values,

$CE^{2}$ = $28^{2}$ + $21^{2}$

$CE^{2}$ = 784 + 441

= 1225

CE = $\sqrt{1225}$

CE = 35

CE = y = 35

Result:

The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.

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