All categories

3 years ago

Brainliest to first correct answer.

Mathematics

2 answers:

dsp733 years ago

8 0

Answer: D. L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Step-by-step explanation: Since L1 and L3 are both perpendicular to L2, L4 is parallel to L1 if L1 is parallel to L3

Juliette [100K]3 years ago

6 0

Answer:

The correct option is D.

Step-by-step explanation:

It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.

L1 ⊥L2, L2 ⊥ L3, L3║L4.

If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

$L_1\perp L_2,L_2\perp L_3\Rightarrow L_1\parallel L_3$

Using transitive property of parallel lines.

$L_1\parallel L_3,L_3\parallel L_4\Rightarrow L_1\parallel L_4$

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Therefore the correct option is D.

You might be interested in

A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an addi

Montano1993 [528]

Answer:

$20.15

Step-by-step explanation:

Given data

Original cost = $9.57

Markup= 95%

Let us find the new cost of the basket

=95/100*9.57

=0.95*9.57

=$9.0915

Hence the cost of the basket is

= 9.57+9.0915

=18.66

Also, the sales tax is 8%

=8/100*18.66

=0.08*18.66

=1.4928

Therefore, the total amount to be paid is

=18.66+1.4928

=$20.15

8 0

2 years ago

What is another way to say 345 centimeters?

Zolol [24]

100 centimeters is equal a meter so you can say 345 centimetres is the same as 3,45 metres

i hope i helped you somehow

7 0

2 years ago

Read 2 more answers

In 2005, the price of a tv was $1599.00. In 2002, the price of the same type of tv has dropped to $399.00 Calculate the percent

xxTIMURxx [149]

In 2005, the price of a TV was $1599.00.
In 2002, the price of the same type of tv has dropped to $399.00
Let’s Calculate the percent of decrease.
First subtract 1599 dollars with 399 dollars to know how much did the price of TV decreased.
=> 1 599 – 399 = 1 200 is the amount the decreased on TV’s price
=> 1 200 / 1599 = 0.75
=> 0.75 * 100% = 75%
Thus, the price of TV had been decreased to 25%, 75% of it were decreased

3 0

3 years ago

The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions

mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

L be the length of the rectangle

w be the width of the rectangle

Formula: ‘area of a rectangle’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0

Solving the quadratic equation w² + 3w - 10 = 0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

$\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2$

$or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5$

-5 is not valid ,because w represents the width

which must be a positive number

Then w = 2

Conclusion:

Width = 2

Length = 2 + 3 = 5

6 0

1 year ago

Andrew ran 20 miles last week (at the same pace) and spent a total of 150 minutes running. If he runs for 240 minutes this week,

swat32

Andrew will run 32 miles.

Explanation:
If you divide the time Andrew ran by the miles he ran, you’ll get 7.5 minutes per mile. Then, if you divide 240 minutes by 7.5, you get 32 miles.

5 0

2 years ago

Read 2 more answers