A flashlight is projecting onto a wall, as shown below

Answers

Answer 1

Answer:

Answer:

n = 30

Step-by-step explanation:

The triangles share the same angle measures, so they are similar triangles. The side lengths of similar triangles are proportional to each other, so we can set up a proportion and solve for n...

16 is to 20 as 24 is to n

16/20 = 24/n now solve for n by cross multiplying

16n = 480

n = 30 (divide both sides by 16)

Related Questions

Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units right and 4 units up to form triangle A″B″C″. If vertex A is at (-4, 2), what are the coordinates of vertex A″?
The measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle
Work out the balance for £1500 invested for 2 years at 3.7% per annum
Emily spent $55 from her savings on a new dress. Explain how to describe the change in Emily's saving balance in two different ways
What number is more than -0.8 but less than -0.1

Explain how to write an addition sentence for a picture of 5 rows with 3 items in each row

Answers

5 times 3 because 5 rows has 3 in each I'm not a 100 % use but I think so

I got another problem on substitution on linear equations... I'm very confused. How do I know which one to start? How do I know what to do? Is there any simple explanations? x -2y =5
3x - 5y =8

Can you help me do this in the simplest way please? I'm kinda struggling to get this concept down... :(

Answers

Don't worry, you just have to get used to these problems! You can do it girl!!

So, it doesn't matter where you start. I would start finding the x in the first equation, like this:

x - 2y = 5
x = 5 - 2y

Which is really easy, isn't it?
Now you know that x is equal to 5 - 2y, so you can substitute the x in the second equation. (You could have done the same solving by y, it doesn't matter :D )

3 ( 5 - 2y ) - 5y = 8

15 - 6y - 5y = 8

- 6y - 5y = 8 - 15

-11y = -7

y = -7/-11 = 7/11

Now you found your y! Let's substitute it in the first equation. (The beginner one, not the one that you worked on)

x - 2 (7/11) = 5

x - 14/11 = 5

x = 5 + 14/11

x = 69/11

I know you got it now! ;) Otherwise ask me whatever you want!

Solve each system using elimination PLEASE HELP!!!1.8X+5Y=6
3X-2Y=10
2.-3x+8y=10
5y+6y=80
3. 4x+12y=-24
3x-6y=-18
4.5x-6y=48
2x+5y=-3
please help show all work

Answers

1.
$8x+5y=6 \ \ \ |* 2 \n3x-2y=10 \ \ \ |* 5 \n \n16x+10y=12 \n\underline{15x-10y=50} \n16x+15x=12+50 \n31x=62 \ \ \ |/ 31 \nx=2 \n \n3x-2y=10 \n3 * 2-2y=10 \n6-2y=10 \ \ \ |-6 \n-2y=4 \ \ \ |/ (-2) \ny=-2 \n \n(x,y)=(2,-2)$

2.
$-3x+8y=10 \ \ \ |* 5 \n5x+6y=80 \ \ \ |* 3 \n \n-15x+40y=50 \n\underline{15x+18y=240 \ \ } \n40y+18y=50+240 \n58y=290 \ \ \ |/ 58 \ny=5 \n \n5x+6y=80 \n5x+6 * 5=80 \n5x+30=80 \ \ \ |-30 \n5x=50 \ \ \ |/ 5 \nx=10 \n \n(x,y)=(10,5)$

3.
$4x+12y=-24 \n3x-6y=-18 \ \ \ |* 2 \n \n4x+12y=-24 \n\underline{6x-12y=-36} \n4x+6x=-24-36 \n10x=-60 \ \ \ |/ 10 \nx=-6 \n \n3x-6y=-18 \n3 * (-6)-6y=-18 \n-18-6y=-18 \ \ \ |+18 \n-6y=0 \ \ \ |/ (-6) \ny=0 \n \n(x,y)=(-6,0)$

4.
$5x-6y=48 \ \ \ |* 2 \n2x+5y=-3 \ \ \ |* (-5) \n \n10x-12y=96 \n\underline{-10x-25y=15} \n-12y-25y=96+15 \n-37y=111 \ \ \ |/ (-37) \ny=-3 \n \n2x+5y=-3 \n2x+5 * (-3)=-3 \n2x-15=-3 \ \ \ |+15 \n2x=12 \ \ \ |/ 2 \nx=6 \n \n(x,y)=(6,-3)$

What is the value of 6 in 3.567

Answers

it is in the hundredths place.

The 6 is in the hundreths place

What angle has no supplement

Answers

supplement is te angle that ads to 180
maybe the angle that is more than 180 (you can't have negative angles)
or maybe it is 180, since it is alreay equal to 180

Supplementary add up to 180 degrees (140° and 40°)
Complementary add up to 90 degrees

What's the perimeter of a semicircle with a diameter of 12 miles?

Answers

The perimeter, or circumference, of a circle is pi x diameter. A semicircle would just be 1/2pi x diameter. In this case, that would equal 6 pi. If you are supposed to use 3.14 as pi, then it would equal 18.84.

Other Questions

1) -4.2 = y - 1.8i don’t know the answer need help

Could anyone please help me find k divided by 9 = 12 as well as 84n = 504 and 6 = m over 148? I need explanations...

Simplify 24 ÷ (-2)(3) + 7Simplify 24 ÷ (-2)(3) + 7

a point is reflected across the y-axis.then the reflected point is reflected across the x-axis.how will the coordinates of the final point be related to the coordinates of the original point?