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iragen [17]
2 years ago
8

Given: NM || PO and Angle 1 is congruent To angle 3

Mathematics
1 answer:
borishaifa [10]2 years ago
7 0

Answer:

i. LM || NO  (converse alternate interior angle theorem)

ii. <1 ≅ <2    (alternate interior angle theorem)

Step-by-step explanation:

Two or more lines are said to be parallel if they do not meet when extended, even till infinity.

Alternate angles are said to be equal in measure.

Given that;

<1 ≅ < 3,

Since <2 ≅ <3 (alternate interior angle theorem)

Then,

<1 ≅ <2 (transitive property)

Also,

<1 ≅ <2 (alternate interior angle theorem)

Therefore since <1 ≅ <2, thus;

LM || NO (converse alternate interior angle theorem)

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mash [69]

The least common denominator is the Least Common Multiple (LCM) of the divisors 3 and 4. Since these numbers have no common factors, their LCM is

... 3·4 = 12

The least common denominator of your fractions is 12.

... 1/3 = (1/3)·(4/4) = 4/12

... 3/4 = (3/4)·(3/3) = 9/12

3 0
3 years ago
A rocket moves through outer space at 10,500 m/s. At this rate how much time would be required to travel the distance from Earth
Orlov [11]

Answer:

The answer is around 27.63 seconds.

Step-by-step explanation:

1 km equals 1000 meters so we have to multiply 10,500 and 1,000 which would equal 10,500,000 km. 10,500,000 divided by 380,000 which is around 27.63 seconds.

8 0
3 years ago
Read 2 more answers
The bacteria has an initial population of 2000 cells and increases at a rate of 40% per hour. Use the exponential function to mo
Fynjy0 [20]
2000% x .4 will give you your answer! 
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3 years ago
Read 2 more answers
Jack Frost was decorating the car windows in the teacher’s parking lot. He puts 2 snowflakes on each of the four windows of the
deff fn [24]
Answer: He can completely decorate 11 cars

Explanation: since he puts 2 snowflakes on each of the 4 windows on one car, in total Jack uses 8 snowflakes per car. If he makes 90 snowflakes, 90 divided by 8 gives you the amount of cars he can decorate. 90/8 = 11.25, but since you can’t have .25 cars the answer is 11.
3 0
2 years ago
Which equation represents a line that is perpendicular to line PQ?
valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

3 0
3 years ago
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