Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. Straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent

Answer:

7

Step-by-step explanation:

If a case contains 24 bottles, and if I need to buy 150 bottles, I would need to buy 150 / 24 = 6.25

Because the store would not sell the quarter of a case, I would need to buy 7 cases of water.

Answer:

9 degrees

Step-by-step explanation:

The temperatire was -3 and then rose by 12, -3 + 12 = 9

Answer:

A

Step-by-step explanation:

31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4

See attachment for math work and answer.

Answer:

y= −2/3x+2

Step-by-step explanation:

2x+3y=6

Add -2x to both sides.

2x+3y+−2x=6+−2x

3y=−2x+6

Divide both sides by 3.

3y/3=−2x+6/3

Answer:

3/5 = 21/35

Step-by-step explanation:

if you reduce 21/35 it is 3/5 so it is the same thing

Answer:

3.450*10^4

Step-by-step explanation:

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

lol same tbh even tho ion  have netflix anymore

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37

Answer: Eric got a 91

Step-by-step explanation:

Make two equations:

We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh

Equation: E = 5 + 2(J)

E + J = 134

Solve for E:

J= 134 - E

Plug it into first equation: E= 5+ 2(134-E)

E= 5+(268-2E) add 2E from each side

E+ 2E = 268 + 5 reduce

3E = 273 divide by 3 to find Eric score

E= 91

You can plug it back in to find what josh received 134-91 = 43

To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.

Answer:

your answer should be 25 feet

Step-by-step explanation:

Answer:

why are you sad

Step-by-step explanation:

25 ft

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

Answer:

The answer is 19.

Step-by-step explanation:

You have to substitute x = 4 into the function of g(x) :

g(x) = x² + 3

g(4) = 4² + 3

g(4) = 16 + 3

g(4) = 19

Answer:

[tex]x=\pm5[/tex]

Step-by-step explanation:

First, add 75 to each side.

[tex]3x^2-75+75=0+75\\3x^2=75[/tex]

Next, divide each side by 3.

[tex]x^2=25[/tex]

Now, you can take the square root.

[tex]x = \pm\sqrt25}[/tex]

[tex]x=\pm 5[/tex]

Answer:

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Step-by-step explanation:

To calculate the price of one comic, we can divide the price of the comics by the amount bought:

= $7.50 ÷ 3

= $2.50

Therefore, one comic is $2.50

To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:

= 5 x $2.50

= $12.50

= 8 x $2.50

= $20.00

The price for 3 comics is $12.50 and the price for 8 comics is $20.00.

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Answer:

no sorry lol but just try harder

Answer:

(72 oz.     $17.99)------------>Least expensive

(32 oz.     $7.32)------------>middle

(48 oz.     $9.60)------------>most expensive

Step-by-step explanation:

Once you understand how to do it, it's easy!

Just divide the ounces by the price to findout the cost

72 ÷ 17.99 = 4.00

32 ÷ 7.32  = 4.37

48 ÷ 9.60 = 5.00

4.00 < 4.37 < 5.00

Least, Middle, most

Good Job! Pls Brainliest!   ;)

Answer:

The value of f(1 + g(2)) is 5

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x - 3

∵ g(x) = x + 1

We need to find the value of f(1 + g(2))

That means we will replace x in f(x) by 1 + g(2)

→ g(2) means substitute x in g by 2

∵ g(x) = x + 1

∵ x = 2

∴ g(2) = 2 + 1

∴ g(2) = 3

∵ x of f = 1 + g(2)

∵ g(2) = 3

∴ x of f = 1 + 3

∵ x of f = 4

→ To find f(1 + g(2)) substitute 1 + g(2) by 4

∵ f(x) = 2x - 3

∵ x = 4

∴ f(4) = 2(4) - 3

∴ f(4) = 8 - 3

∴ f(4) = 5

∴ f(1 + g(2)) = 5

Answer:

No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.

Answer:

Total deductions =  $196.24

Step-by-step explanation:

Gross weekly salary = $680

federal holding = $101.62

FICA standard rate = 7.65% of gross earnings

= 7.65% of $680 = 0.0765 × 680 = $52.02

∴ FICA deductions = $52.02

state tax = 1.5% of gross pay = 1.5% of $680

state tax = 0.015 × 680 = $10.2

∴ state tax = $10.2

Medical insurance = $32.40

Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y =  

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y =  

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y =  

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y =  

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y =  

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

Answer:

their both the same

Step-by-step explanation:

add and subtract divide multiply

Answer:

18/25

Step-by-step explanation:

Answer:

72%, or, 18/25

Step-by-step explanation:

I just converted 0.72 into a percentage and a fraction. I hope this helps! :P

Answer:

50.137

Step-by-step explanation:

You can split the triangle into two triangles both with base 3 and height 12

The area of the two triangles is

[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]

The area of a circle is [tex]\pi r^2[/tex]

so the area of the semi circle with r(adius) 3 is

[tex]\pi r^2/2\\9\pi/2[/tex]

[tex]9\pi/2 + 36 = 50.137[/tex]

Answer:

19.1

Step-by-step explanation: