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podryga [215]
2 years ago
8

What is 8r-(5r+4) ≥-31

Mathematics
1 answer:
lesantik [10]2 years ago
5 0

Answer:

r ≥ -9

Step-by-step explanation:

8r-(5r+4)\geq -31\\8r-5r-4 \geq -31\\3r - 4 \geq -31\\3r \geq -27\\r \geq -9

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The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the sides of △AED if AB=5cm,
Lynna [10]

Answer:

  AE = 15 cm; ED = 18 cm; AD = 15 cm (given)

Step-by-step explanation:

ΔBEC ~ ΔAED so ...

   AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE

Substituting given numbers (lengths in centimeters), we have ...

  15/10 = 1 + 5/BE

  1/2 = 5/BE

  BE = 10

Similarly, ...

  1/2 = 6/CE

  CE = 12

Then the unknown sides are ...

  AE = AB + BE = 5 + 10 = 15 . . . cm

  ED = CE + CD = 12 + 6 = 18 . . . cm

8 0
3 years ago
Log In a survey of a town, 63% of residents own a car, 20% of residents own a truck, and 4% of residents own both a car and a tr
yan [13]

Answer:

6%

Step-by-step explanation:

Let T= truck

C= Car

We are looking for the probability that someone owns a truck given that they own a car

or

P(T|C)

The conditional probability formula is as follows:

P(T|C)=(T∩C)/C

plugging in numbers..

.04/.63=6.3492% which rounds to 6%

4 0
3 years ago
You scored 18 out of the 60 points scored by your team. what percent of your team's points did you score?70%30%
Doss [256]
10% of 60 = 6
6 x 3 = 18
You scored 30% of your team's points.

Hope This Helps You!
<span>Good Luck Studying :)</span>
6 0
3 years ago
Read 2 more answers
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lara31 [8.8K]

Answer: 91 pounds and 7 ounces

Step-by-step explanation:

your welcomeee

3 0
3 years ago
Can i plz have some help with this
Klio2033 [76]

Answer:

I think they're vertical angles

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4 0
3 years ago
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