MATHEMATICS MIDDLE SCHOOL

A quadilateral ABCD is drawn to circumcribe a circle . prove that AB+CD=AD+BC

Answers

Answer 1

Answer:

Helllllp

Step-by-step explanation:

Answer 2

Answer:

Answer:

detail in steps

Step-by-step explanation:

as illustrated

AB = AP + BP

CD = CR + DR

AD = AS + DS

BC = BQ + CQ

while AP = AS BP = BQ CQ = CR DR = DS

AB + CD = AP + BP + CR + DR

AD+BC = AS + DS + BQ + CQ

∴ AB+CD=AD+BC

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The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with half-life of approximately 6 hours.That is, every 6 hours, the amount of caffeine in the body decreases by 50%. Charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at the time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?

Answers

I know the answer and the answer is 11 AM

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What are 10 numbers divisible by 6

Answers

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Step-by-step explanation:

all numbers are multiples of 6, thus are divisible by 6

Answer:

6,12,18,24,30,36,42,48,54, and 60.

Step-by-step explanation:

To find this you can just keep on adding 6 to itself like this:

6+6=12 12+6=18 and so on,

70% of What number 56

Answers

$70\% \ of \ x =56 \n \n (70)/(100) \cdot x = 56 \n\n (7)/(10) \cdot x=56 \n \n x=56 : (7)/(10) \n \n x=56 \cdot (10)/(7) \n \n x= (560)/(7) =80$

Systems of Equations: Solve each system by setting the equations equal to each other and solving.y=x
y= -x

Answers

Since ' x ' and '-x ' are both equal to ' y ', they must be equal to each other.

   x = -x

Add ' x ' to each side:    2x = 0

Divide each side by 2 :    x = 0
whence   y = 0 .

That's the only possible solution to the system [ y = x and y = -x ] .

since x and -x both equal y they must be equal to each other:
x= -x
+x +x (add x to both sides)
2x=0
x=0
when x=0, y=0

7. Two fields at a state park arfields are 8 centimeters ap
ta state park are 1,000 meters from each other. On a map, the two
re o centimeters apart. What scale is the map using?