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3 years ago

Find x so that l || m.

Mathematics

1 answer:

fredd [130]3 years ago

3 0

Answer:

x = 17

Step-by-step explanation:

Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.

Therefore:

53° + (8x - 9)° = 180°

Solve for x

53 + 8x - 9 = 180

Collect like terms

53 - 9 + 8x = 180

44 + 8x = 180

Subtract 44 from both sides

44 + 8x - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

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The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow

Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

$d=-4x^2+1100$

Final position of the snowboarder is $d=100\ ft$

Now, plugging in 100 for 'd' and solving for 'x', we get:

$100=-4x^2+1100$

Adding -1100 both sides, we get:

$100-1100=-4x^2+1100-1100\\-1000=-4x^2$

Dividing both sides by -4, we get:

$\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250$

Taking square root and neglecting the negative root as time can't be negative. So,

$\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s$

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

7 0

3 years ago

Write each expression as a single number:

sattari [20]

Answer:

B) 2º+2=4

raise ^that 4 to the power of -1+2 like this

4-1+2=5

raise ^to the power -2 like this

5-2=3 <Awnser

4 0

2 years ago

What is the greatest common factor of 49, 62 and 80?

steposvetlana [31]

Answer:

literally 1

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Your round-trip drive to work is 4310 4 3 10 miles. How many miles do you drive to and from work in 3 3 days? CLEAR CHECK

luda_lava [24]

Answer:

if the round trip to work is 10 miles (i cant tell how many because it says 4310 4 3 10 miles lol) then you would travel 30 miles in 3 days

8 0

3 years ago

A train travels 16 miles in 20 minutes At this rate , how many minutes will it take to trace 12 miles?

VARVARA [1.3K]

Answer:

Write and solve an equation of ratios:

16 miles 20 min

----------- = -----------

12 miles x

Then 16x = 240, and x = 240/16 = 15.

It will take 15 minutes to travel 12 miles.

3 0

3 years ago