Solve. Justify your responses.

Given:

AB║CD║EF


Prove: m∠1+m∠2+m∠3+m∠4=360°

Solve. Justify Your Responses.Given: ABCDEF Prove: M1+m2+m3+m4=360

Answers

Answer 1

Answer/Step-by-step explanation:

[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given

[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary

[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary

Therefore:

[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]


Related Questions

w/4 + 12.5 - 7z what term has a coefficient


Pls help me.

Answers

w/4 and 7z both have coefficients

This expression contains 3 terms.

7z is the term with a coefficient.

12.5 is the constant term in the expression.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, w/4 + 12.5 - 7z.

There are 3 terms in this expression.

The term that has a coefficient is 7z.

The constant term in the expression is 12.5.

learn more about equations here :

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Show work on this smart people

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

42.5 subtract 7.32? Please help me with his question?

Answers

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?








and if u delete that i can say u guys were deleting actual questions- and have proof too ha.







seriously again im not mean irl

Answers

Put both values into a ratio

P:B
28:79

Answer:

79/28

Step-by-step explanation:

i have no clue-

Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4

Answers

Answer:

B 4:6

Step-by-step explanation:

Which of these ratios is equivalent to 2:3?

2 : 3 = 2/3

Check all that applies

A 2:6

= 2/6

= 1/3

= 1 : 3

B 4:6

= 4/6

= 2/3

= 2 : 3

C 3:2

= 3/2

= 3 : 2

D 3:4

= 3/4

= 3 : 4

The correct answer is B 4 : 6

Write this percentage as a fraction in its simplest form.
24%

Answers

Answer:

6/25

Step-by-step explanation:

24/100=12/50=6/25

Answer:

[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]

Step-by-step explanation:

[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12

A) x

B) y

C) 3

D) 12

Answers

The answer would be 12
Y=mx+b
B is the y intercept
B=12

A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?​

Answers

Answer: 0.007%

you divide 56% by 8,000 and you get 0.00007

then you multiply it by 100 and you get 0.007

so its 0.007%

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?

If so, the equation is:

[tex]f(-2)=2(-2-3)(-2)^4[/tex]

2(-5)(16)

-10(16)

-160

quickkk! -2x-4>-64//what is the value of x

Answers

Answer:

x<30

Step-by-step explanation:

u got this

Answer:

x ≤ 30

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    -2*x-4-(-64)>0  

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  -2x + 60  =   -2 • (x - 30)  

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  -2  

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Add  30  to both sides

            x < 30

Inequality Plot :

2.3      Inequality plot for

        -2.000 X  + 60.000  <  0

 

 

One solution was found :

x < 30

 i hope this helps have a good day!

plz help i will mark you as brainlist

Answers

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

I’m pretty sure it’s A

"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __​

Answers

Parallel lines have the same slope, so the slope of this new line is 4.

In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.

The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:

0=4(4)+b
0=16+b
B=-16

So in total, the new line is y=4x-16.


On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?

Your answer:

help o_o

Answers

Answer:

94%

Step-by-step explanation:

In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area

Answers

Area is the right answer... I guess

Answer: perimeter

Step-by-step explanation:

How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee

Answers

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

PLSSSS HELPPPPP ASAP

Answers

D.

Perimeter is when you add and not multiple:)

I need an answer to What is: p - 10 = 5

Answers

Answer:

P would be substituted with 15, so the equation would be accurate

Step-by-step explanation:

Write the equation of the line that is parallel to y = -6x + 10 and crosses the y-axis at -4.

Answers

Answer:

y= -6x-4

Step-by-step explanation:

As two lines are parallel, their slope is same which is -6

Now, use:y-y1=m(x-x1)

y-(-4)= -6(x-0) (y1=-4,x1=0, cause the equation of y axis is x=0)

So,y= -6x-4

Need help asap not really good with these types of questions

Answers

Step-by-step explanation:

AC = AD result : given (Side congruence)

CB = DB result: given (Side congruence)

AB =AB result : reflexive property (side congruence)

ACB=ADB (SSS)

the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m​

Answers

Answer:

[tex]Area = 129.5m^2[/tex]

[tex]Perimeter = 48m[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the [tex]area\ of\ the\ rectangle[/tex]

[tex]A_1 = L * B[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

[tex]B = 7[/tex]

So:

[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]

[tex]A_1 = (20 - 7) * 7[/tex]

[tex]A_1 = 13 * 7[/tex]

[tex]A_1 = 91[/tex]

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]A_2 = \pi r^2[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]

[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]

[tex]A_2 = \frac{22*7}{4}[/tex]

[tex]A_2 = \frac{154}{4}[/tex]

[tex]A_2 = 38.5[/tex]

Area of the garden is

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 91 + 38.5[/tex]

[tex]Area = 129.5m^2[/tex]

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

[tex]P_1 = 2 * L[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

So:

[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]

[tex]P_1 =2 * (20-7)[/tex]

[tex]P_1 =2 * 13[/tex]

[tex]P_1 =26[/tex]

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]P_2 = 2\pi r[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]

[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]

[tex]P_2 = \frac{308}{14}[/tex]

[tex]P_2 = 22[/tex]

Perimeter of the garden is

[tex]Perimeter = P_1 + P_2[/tex]

[tex]Perimeter = 26 + 22[/tex]

[tex]Perimeter = 48m[/tex]

Find the measure of the numbered angle.
m∠1 =

Answers

Answer:

∠1 = 50°

Step-by-step explanation:

right triangle.

∠1 = 180 - 90 - 40

∠1 = 50°

mike is buying a large pizza the pizza cost $8.00 plus .50 for each addition topping write an equation to show the cost of a large pizza

Answers

Answer:

8+(X×0.50)=y

Step-by-step explanation:

We know it costs 0.50 for extra toppings, so X=the amount of toppings and we multiple that by the cost of the toppings. So lets pretend you're getting 3 toppings. 8+(3x0.50)=9.50

What is the solution of the equation 70 = 1.4y ?

Answers

So you basically have to divide 1.4 on both sides so you can get y by its self. Once you divide 60 by 1.4 you’ll get 50.

y=50

The solution of the equation 70 = 1.4y is 50.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 70 = 1.4y.

Seventy equal to one point four y.

In the given equation the variable is y.

We need to solve for the y.

70 = 1.4y.

Divide both sides by 1.4

70/1.4=y

Seventy divided by one point four equal to y

50=y

The value of y is fifty.

Hence, the solution of the equation 70 = 1.4y is 50.

To learn more on Equation:

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A rectangular garden is 45 feet long and has perimeter 150 feet. Rows
of plants are planted 3 feet apart. Find the area of the garden.

Answers

length will be represented as l and breadth as b.
perimeter=l+l+b+b=45+45+b+b=150
b+b=150-45-45=60
b=60÷2=30
area=lxb=45x30=135
the area is 135 feet.

WILL GIVE BRAINLIEST!!

Which transformation was applied to triangle A?
A. Dilation
B. Reflection
C. Rotation
D. Translation

Answers

Answer:

Dilation

Step-by-step explanation:

it got larger and didnt move

For every | | cats in the pet store, there are | | dogs.




Help plss

Answers

For every single cat there is four dogs

Answer:

for every one cat there are 4 dogs

Step-by-step explanation:

11 : 44

11÷1 : 44÷11

1 : 4

If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)

Answers

(ANSWER - 200) (EXPLANATION - we know 125 miles is 5 gallons. divide 125 by 5, you get 25 miles per gallon. 25 times 8 is 200!)

Which function is equivalent to f(x) = -4(x + 7) – 6?

Answers

Answer:

f(x) = - 4x - 34

Step-by-step explanation:

Given

f(x) = - 4(x + 7) - 6 ← distribute parenthesis

     = - 4x - 28 - 6 ← collect like terms

     = - 4x - 34

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many
2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
•8
•4
•12
•16

Answers

Answer:

B. 8

Step-by-step explanation:

Calculate how many 2 point answers and 5 point answers there are.

2 x 8 = 16

Since there are half as many 5 point answers as there are 2 point answers,

5 x 4 = 20

calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.

8 + 4 = 12

Subtract that number by the total questions, which is 28.

28 - 12 = 16

Next figure out how many 4 point questions you had (28-12=16)

16 x 4 = 64

To check your work add up the totals and see if they match up to 100.

16 + 20 + 64 = 100

Step-by-step explanation:

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