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2 years ago

What is A two-column proof

Mathematics

1 answer:

lys-0071 [83]2 years ago

8 0

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

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Check all of the ordered pairs that satisfy the equation below.y=2/5x

zvonat [6]

We are going to do this step by step:

Let's start with option A

X = 25 and Y = 5/2

$y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10$

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

X = 14 , Y = 35

$y=\frac{2}{5}\cdot14=\frac{28}{5}$

In case, when X = 14, then Y = 28/5, which is different to 35

X = 40 , Y = 24

$y=\frac{2}{5}\cdot40=\frac{80}{5}=16$

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

X = 10 , Y=4

$y=\frac{2}{5}\cdot10=\frac{20}{5}=4$

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

X = 50 , Y = 20

$y=\frac{2}{5}\cdot50=\frac{100}{5}=20$

In this case, the values of Y are also the same.

X = 30 , Y = 12

$y=\frac{2}{5}\cdot30=\frac{60}{5}=12$

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0

1 year ago

The speed limit is 25 miles per hour, but it seems that many of the cars are going faster. The city places 2 counter strips 360

klio [65]

You figure out how long it would take a car traveling at 25 mph
to cover 360 ft. Any driver who does it in less time is speeding.

   (25 mi/hr) · (5,280 ft/mile) · (1 hr / 3,600 sec)

   = (25 · 5280 / 3600) ft/sec = (36 and 2/3) feet per second.

To cover 360 ft at 25 mph, it would take

360 ft / (36 and 2/3 ft/sec) = 9.82 seconds .

Anybody who covers the 360 feet in less than 9.82 seconds
is moving faster than 25 mph.
_________________________________

If you're interested, here's how to do it in the other direction:

Let's say a car covers the 360 feet in ' S ' seconds.
What's the speed of the car ?

   (360 ft / S sec) · (1 mile / 5280 feet) · (3600 sec/hour)

   = (360 · 3600) / (S · 5280) mile/hour

   = 245.5 / S miles per hour .

The teacher timed one car crossing both strips in 7.0 seconds.
How fast was that car traveling ?

   245.5 / 7.0 = 35.1 miles per hour

Another teacher timed another car that took 9.82 seconds to cross
both strips. How fast was this car traveling ?

245.5 / 9.82 = 25 miles per hour

7 0

3 years ago

Express 429 as a product of its prime factors

lawyer [7]

Answer:

The answer is 429 = 3×11×13.

Step-by-step explanation:

You have to divide by prime number :

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

8 0

3 years ago

Read 2 more answers

A total of 150 students have taken an Algebra 2 final exam. The scores are normally distributed with a mean of 71% and standard

WARRIOR [948]

Answer:

102 students

Step-by-step explanation:

Note that 65% and 71% are both 1 standard deviation from the mean (71%). According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.

68% of 150 students would be 0.68(150 students) = 102 students

3 0

3 years ago

Find the slope of a line with ordered pairs (1,5) and (5,8)

klemol [59]

Step-by-step explanation:

(1,5) (5,8)

x,y. x,y

Formula: y2-y1

x2-x1

so...

8-5= 3

5-1 = 4

so... 3

6 0

3 years ago