given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(
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Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

Check the picture below.

Answer:

15 - 17 = 0.013333 (1.3333%)

latte drop = 8.3%

gasoline = 9%

Answer:

5x12=60,+6=66

Step-by-step explanation:

Answer:

66 months

Step-by-step explanation:

12months x 5= 60

60 + 6= 66

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

p  >  −  1

............................................................................................

Answer:

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Answer:

the rabbits ran away

Step-by-step explanation:

now its 300 rabbits

Answer:

c po is the correct aswer

Step-by-step explanation:

correct me if im wrong hope it's help

thanks

Answer:

B. Insurance ensures that losses are not passed on to society

Hope this helps :)

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ3

Answer: 27 tickets a+k

Step-by-step explanation:

11+16

Answer:

7 and 9

Step-by-step explanation:

4/3÷1/6 = 4/3 × 6/1

= 8

So the value of p falls between the range of 7 and 9

Answer:4 dimes = 40 cents

1 nickel 3 pennies =8 cents

5 quarters and 1 dime = $1 and 35 cents

step explanation:

Answer:

360 days

Step-by-step explanation:

It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.

Hope this helps!

Yep, it's C. The answer is C

Answer:

6^3

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 × 3=729

6^3=216

3 × 3 × 3 × 3 × 3 × 3=729

3^6=729

Hope this helps :)

3 × 3 × 3 × 3 × 3 × 3

63

9 × 9 × 9

36

Answer:

2x + 4 = 4x - 88

x = 46

Answer:

x = 46

Step-by-step explanation:

These angles are known as corresponding angles. This means they are equal to one another.

[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]

Answer:

The burgers cost $2.50 and the cookies cost $1.25.

Step-by-step explanation:

Let b represent burgers and c represent cookies.

2b + 2c = 7.50

4b + 3c = 13.75

Step 1: Use one of the two equations and isolate one of the variables.

2b + 2c = 7.50

      - 2c    -2c

[tex]\frac{2}{2}[/tex]b = [tex]\frac{7.50}{2}[/tex] - [tex]\frac{2}{2}[/tex]c

b =  3.75 - c

Step 2: Plug what you get for b into the second equation.

4(3.75 - c) + 3c = 13.75

15 - 4c + 3c = 13.75

15 - 1c = 13.75

Step 3: Isolate the variable and solve for c.

15 - 1c = 13.75

-15        -15

[tex]-\frac{1}{1}[/tex]c = [tex]\frac{-1.25}{-1}[/tex]

c = 1.25 ← price for cookies

Step 4: Plug in what you have for c into one of the previous equations and solve for b.

2b + 2(1.25) = 7.50

2b + 2.50 = 7.50

     - 2.50   -2.50

[tex]\frac{2}{2}[/tex]b = [tex]\frac{5}{2}[/tex]

b = 2.50 ← price for burgers

Now you know the cost of each item:

The burgers cost $2.50 and the cookies cost $1.25.

Answer:

11.1

Step-by-step explanation:

The percentage error for the given data will be 12.5%

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

The percentage error will be calculated as:-

percent error = (|experimental value - theoretical value| / theoretical value) x 100

In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%

Learn more about percentage error on:

brainly.com/question/5493941

#SPJ2

Step-by-step explanation:

their are total 12 sandwiche rolls in a dozen so,

price of 12 sandwiche rolls are $1.50

so, cost of 1 sandwich roll = 1.50/12 = $0.125

now,

cost of 30 sandwich rolls = 30 × 0.125 = $3.75

therefore, option C is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

p= 8

Step-by-step explanation:

because 8 x 3 is 24

hope this helps!❄︎

Answer:

2 hours

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

45/3=15

15*7=105      15*3=45

105+45=150

15*10=150

:)

Answer:

Negative reciprocals

There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).

-------------------

A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?

----

Ans: -226 ; 50,000-226 = 49774

-------------------------

If a 50-year-old female purchases the policy, what is her expected value?

WORK TRIED:

In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

----

E(x) = 0.9968*(-226) + 0.0032(49774) = -$66

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Cheers,

ROR