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2 years ago

Lines m and n are cut by transversal l. which angle relationships are correct? check all that apply.

Mathematics

1 answer:

stich3 [128]2 years ago

5 0

Answer:

1,2,5

Step-by-step explanation:

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The population of a city increase exponentially at a rate of x% every 5 years

Lerok [7]

Answer:

1.1460277. Put in your decimal place given to you.

This is the percentage rate.

Step-by-step explanation:

f(x)=0=60100

55=120150

60100=a*b^0

120150/60100=60100/60100*b^5

b^5^(1/5)=5square root(120150/60100)=1.14860277

5 0

3 years ago

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10

makkiz [27]

9514 1404 393

Answer:

420

Step-by-step explanation:

The prime factors of each denominator are ...

12 = 2²×3

14 = 2×7

5 = 5

10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

5/12 = 175/420
9/14 = 270/420
2/5 = 168/420
1/10 = 42/420

5 0

2 years ago

Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on

Diano4ka-milaya [45]

X = pencils, y = pens

8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75

4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50

8 0

3 years ago

Melanie and Joseph are raising money for their class trip to the zoo. They each need $30 to pay for the trip and are selling box

lisabon 2012 [21]

Melanie needs $18 more dollars. joseph has sold 5 boxes which means he has $20 and melanie has sold 3 which means she has $12 so 30-12=18

4 0

3 years ago

Read 2 more answers