All categories

3 years ago

Which of the following facts, if true, would allow you to prove that lines l and m are parallel? NEED HELP

Mathematics

1 answer:

Damm [24]3 years ago

8 0

Two parallel lines A and B are crossed by another line as shown in the attached figure. Angle 2 and 3 are equal, because they are opposite angles, while angle 3 and 7 are also equal, because they are corresponding angles, thus it is deduced that

angle 2 = angle 3

angle 3 = angle 7

So angle 2 = angle 7

Hence fourth option is right.

You might be interested in

The length of a rectangle is 4 more than it's width. Write an equation that will determine the dimensions if the area of the rec

Firdavs [7]

Answer: The equation is W^2 + 4W - 96= 0

{Please note that ^2 means raised to the power of 2}

Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.

That is,

L = W + 4 and

W = W

Also we have the area given as 96.

Remember that the area of a rectangle is given as

Area = L x W.

In this question, the Area is expressed as

Area = (W + 4) x W

96 = W^2 + 4W

Subtract 96 from both sides of the equation and we have

W^2 + 4W - 96 = 0.

We now have a quadratic equation from which we can determine the dimensions of the rectangle

5 0

4 years ago

one-third of the people from country A claim that they are from country B, and the rest admit they are from country A. One-fourt

In-s [12.5K]

Answer: 3 : 2

Step-by-step explanation:

Let A represents the total population of country A and B represents the total population of country B.

According to the question,

$\text{The population of country A that admit they are from B} = \frac{1}{3}\text{ of }A$

⇒ $\text{ The population of A that admit they are from country A }= A - \frac{1}{3} \text{ of } A$

$= \frac{3-1}{3} A$

$= \frac{2}{3} A$

$\text{The population of country B that admit they are from A} = \frac{1}{4}\text{ of }B$

⇒ $\text{ The total population that claims that they are from A }= \frac{2}{3} A +\frac{1}{4} B$

But, Again according to the question,

The total population that claims that they are from A = one half of the total population of A and B.

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}(A+B)$

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}A+\frac{1}{2}B$

⇒ $\frac{2}{3} A - \frac{1}{2}A= \frac{1}{2}B-\frac{1}{4} B$

⇒ $\frac{4}{6} A - \frac{3}{6}A= \frac{2}{4}B-\frac{1}{4} B$

⇒ $\frac{1}{6} A = \frac{1}{4} B$

⇒ $A =\frac{6}{4}B$

⇒ $\frac{A}{B} =\frac{3}{2}$

8 0

3 years ago

One bulb of elephant garlic cost $2 . How many bulbs of elephant garlic can you buy for $14

SpyIntel [72]

Answer:

Step-by-step explanation:

Since 14 divided by 2 is 7, you can get 7 bulbs of elephant garlic.

Hope this helps.

6 0

3 years ago

What is the value of i ^20+1?

matrenka [14]

Hey Mattchance666,

Lets solve this equation together,

The question we are enquiring is : What is the value of i ^20+1?

To solve this equation: we have to use the Power Reduction Rule.

Where I^n=I{n mod 4}

In this case: I^20 = I^{5*4+0}=I^0

1 + 1 = 2

Hope this helps,

AnthrαX

3 0

3 years ago

Read 2 more answers

Please answer this question !! 20 points and brainliest !! Thank you !!

Vaselesa [24]

Answer: No

(2,3)

y = 2x-4

3 = 4- 4

3 =/ 0

4 0

3 years ago

Read 2 more answers