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2 years ago

How does anyone know how to prove parallel lines, especially when there are two pairs of them?

Mathematics

1 answer:

Maurinko [17]2 years ago

6 0

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

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I need help quickly!

emmainna [20.7K]

Answer:

not trying to be mean i have no idea please do not get mad at me i am 9 years old i want points so i am trying to awnser but it is hard for me i am in 4th grade.

Step-by-step explanation:

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2 years ago

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MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4

Keith_Richards [23]

Short Answer: B
Remark
The area of any triangle is
A = 1/2 b * h
b = 7 3/4
h = 4 2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is B because only B gives an answer of 18. But you can get the rest of

Let x = 0.083333333
100 x = 8.3333333333
<u>x = 0.0833333333 </u> Subtract
99 x = 8.25 Divide by 3 on both sides.
33 x = 2.75 Divide by 11
3x = 0.25
x = 0.25/3 Multiply top and bottom by 4
x = 1 / 12

The answer is 18 1/12.

3 0

2 years ago

PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

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2 years ago

Marcus lives 1,250 yards from school. Evan lives 3,720 feet from school. Who lives the closest to school?

balu736 [363]

3 ft. = 1 yard

1,250 × 3 = 3,750

Evan lives closer to school.

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2 years ago

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s the number of points scored during a basketball gamenumber of points scored during a basketball game a discrete random variab

Temka [501]

Answer:

The answer is Discrete Random Variable

Step-by-step explanation:

A random variable is considered discrete if its possible values are countable.

In our case,

In a basketball game, for example, it is only possible for a team's score to be a whole number—no fractions or decimals are allowed, and so the score is discrete.

A good rule of thumb is this: if the variable you're measuring has to be rounded before it's written down, then it's continuous. If no rounding is necessary, as with anything that's countable, then it's discrete.

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2 years ago

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