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3 years ago

9

Triangle ABC ≅ DEF. Each side of triangle ABC is 1.5 times longer than the corresponding sides of triangle DEF. If the perimeter

of triangle ABC is 36 centimeters, what is the perimeter of triangle DEF?

1 answer:

mina [271]3 years ago

5 0

Answer:

Step-by-step explanation:

see attachment

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If 15 students share 26 brownies, how many would each student get?

slamgirl [31]

Hi, all we need to do is to divide the number of brownies by the number of students, and we will get the amount of how many would each student get.

26/15 = 1,73 brownies per student.

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Help if you get it right I will give you Brainliest

olga_2 [115]

Answer:

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3 years ago

Item 10 A bacterial culture quadruples in size every hour. You begin observing the number of bacteria 3 hours after the culture

Vinvika [58]

Answer:

There will be 200 000 bacteria after 8 hours

Step-by-step explanation:

The crop quadruples every hour.

x represents the number of hours that pass after preparing the crop

y represents the number of bacteria after x hours.

The equation for y in function of x 3 hours after observing the crop is:

$y = 192(4^{x - 3})$

We want to know after how long there will be 200 000 bacteria.

Then we make y = 200 000 and clear x.

$200\ 000 = 192(4^{x - 3})\\\\log(200\ 000) = log(192(4^{x-3}))\\\\log(200\ 000) = log(192) + log(4 ^{x-3})\\\\log(200\ 000) - log(192) = (x-3)log(4)\\\\\frac{log(200\ 000) - log(192)}{log(4)} = (x-3)\\\\x = 3 + \frac{log(200\ 000) - log(192)}{log(4)}\\\\x = 8\ hours$

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3 years ago

Which of these equations is for a line perpendicular to y-3=5(x-2)?

olasank [31]

Answer:

C

Step-by-step explanation:

y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3 (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

From the choices, the only one that is consistent with this is C

i.e choice C:

5y + x = 25

5y = -x + 25

y = -(1/5) x + 5 ===> gradient of -1/5

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3 years ago

The deli scale weighs meat and cheese in hundredths of a pound. Emily put 5/10 pound of pepperoni on the deli scale. What weight

andreyandreev [35.5K]

.50 is your answer

Hope this helps

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3 years ago