Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .

Answers

Answer 1

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Type The Correct Answer In Each Box. Spell All Words Correctly, And Use Numerals Instead Of Words For
Answer 2

Answer:

Below

Step-by-step explanation:

got it right

Type The Correct Answer In Each Box. Spell All Words Correctly, And Use Numerals Instead Of Words For

Related Questions



Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 44 in, and the length is 14 in.
The width of the rectangle is
in

Answers

Answer:

The width of the rectangle is 8in

Step-by-step explanation:

Given parameters:

     Perimeter  = 44in

     Length  = 14in

Unknown:

Width of the rectangle  = ?

Solution:

The parameters given can be used to determine the unknown dimension;

        Perimeter of a rectangle  = 2 (L + W)

L is the length

W is the width

   Input the parameters and solve;

         44  = 2 (14 + W)

         44  = 28 + 2W

          2W  = 16

            W = 8in

The width of the rectangle is 8in

Answer for brainliest!

Answers

Answer:

-5, -6, -7, -8, -9, -10, -11

Step-by-step explanation:

Answer:

-12<x<-9/2

Step-by-step explanation:

2x+9<o

x>-12

-12<x<-9/2

I need the answer real quick will someone help me

Answers

More info plz there is no context

plz plz plz help me quick i got 10 mins

Answers

Answer:

y=x+6

Step-by-step explanation:

What is y + 3 = 4(x-6) in standard form?
O A. -4x+y=-27
O B. 4x - y = 27
O C. y + 3 = 4x - 24
O D. y = 4x - 27

Answers

“A” is the answer; “B” is not correct/equivalent to the given equation, “C” is not simplified enough, and “D” is in slope-intercept form

CMONNN I NEEDDDDD HELP !!!!

Answers

Answer:

My answer will be 3.

Step-by-step explanation:

Samual has a collection of 80 marbles. in the collection, 20% of the marbles are red and the rest are blue. which statement accurately describes Samuels marble collection

Answers

Answer:

16

Step-by-step explanation:

Can someone help me please

Answers

Either C or A, I know it’s not too much help but risk it for the biscuit on C

Answer:

its c

Step-by-step explanation:

took the testisk...........

Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?

Answers

Answer:

161secs

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

HELPPP !! LOOK AT PICTURE
The function, f(x), is a third-degree polynomial whose
zeros are shown on the number line. Use the function
values below to determine the solutions set of f(x) < 0.

Answers

Answer:

A) (-infinity,-2] and D) [0,2]

Step-by-step explanation:

At Supercuts, it costs $8.96 for a kid's haircut and 6 times as much for a woman's hairstyling. Choose the answer that correctly completes the statement.



It would cost the 4 kids and mom of the Wilson family ____________ to get all of the kids' haircuts and the mom's hair styled.

Group of answer choices

89.60

896.00

8.96

69.80

Answers

Answer:

So the correct answer for that would be 89.6

$89.60

8.96 x 4 = 35.84 - The cost of the kids combined

8.96 x 6 = 53.76 - the cost of the mom

35.84 + 53.76 = 89.60

Which one?
A. B. C. or D? ​

Answers

Answer: 1,176

Step-by-step explanation:  -3 times -7 is positive 21.

21 times -8 is negative -168

-168 times -8 is positive 1,176

It’s cccccccccccccccccc

x/3 + 5 = 6.8

The x/3 is a fraction! please I need an answer!!!

Answers

Answer:

x=5.4

Step-by-step explanation:

x/3+5=6.8

     -5  -5

__________

x/3= 1.8

 *3

________

x= 5.4

HEP I WILL GIVE BRAINLIEST!!!

Answers

Answer:

dot 3

Step-by-step explanation:

Geometry please help

Answers

Answer: I think the answer is 19

Step-by-step explanation:

pls mark brainliest

What is the scale factor for the similar triangle?

Answers

Answer:

4

Step-by-step explanation:

Answer:

third option 1/4

Step-by-step explanation:

G is the bigger triangle with side lengths: 8, 8 and 4

F is the smaller triangle with side lengths: 2, 2 and 1

G to F:

8/x = 2

Rearrange and x would equal 1/4

4/x = 1

Rearrange and x would equal 1/4

Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour

Answers

Answer:

30 pages per hour

Step-by-step explanation:

Leo can read 10 pages in 20 minutes.

60 minutes in a hour

20 x 3 = 60

10 x 3 = 30

Simplify -16 -22+ 22) A. -16 B. 39 C. 16 D.38 Help me PLZZZZZZ ;(

Answers

Answer:

A

Step-by-step explanation:

-22+22=0

-16

Answer: A

-16 is the answer

Plz mark brainliest:)

I will give you brainliest, if you provide an accurate explanation.

Please include a thoughtful answer.

If not, I WILL report you.

1. Find the sqrt(i) and see if there is anything interesting that comes up.

2. Prove that complex numbers are closed under addition, subtraction, division, and cube roots

Answers

Answer:

sqrt(i) =0.707106781 + 0.707106781 i

Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).

The natural numbers are the set of counting numbers

• There are infinitely many numbers in a set of numbers.

• The natural numbers are "closed" under addition and multiplication.

The addition of two natural numbers creates another natural number.

The multiplication of two natural numbers creates another natural number.

closed under addition and multiplication.

BUT ...

The subtraction of two natural numbers does NOT necessarily create another natural number

The division of two natural numbers does NOT necessarily create another natural number  

The whole numbers are the set of counting numbers (natural numbers) along with zero

   

• There are infinitely many numbers in this set of numbers.

• The set of whole numbers is "closed" under addition and multiplication.

Integers:

• The integers are the set of all of the natural numbers,

    plus their additive inverses and zero

• The integers are "closed" under addition, multiplication and subtraction,

    but NOT under division

Rational Numbers:

• The rational numbers are the set of numbers which can be expressed as a ratio

    (a fraction) between two integers.

• Integers are rational numbers since 5 can be written as the fraction 5/1.

• Decimals which terminate are rational numbers.

• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...

• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.

Irrational Numbers:

The irrational numbers are the set of number which can NOT be written as a ratio (fraction).

• Decimals which never end nor repeat are irrational numbers.

• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

• Examples of irrational numbers: rad2, π

This is figured out by first figuring out that:

√(√(i)) = [tex]i^{1/4\\}[/tex]

Let [tex]\sqrt{i}[/tex] be a + b[tex]i[/tex].

Square both sides to get [tex]i[/tex] = (a + b[tex]i[/tex])(a + b[tex]i[/tex])

So, [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]

a² - b² is the real part. The real part is 0.

0 + [tex]i[/tex] = a² - b² + 2ab[tex]i[/tex]

a² - b² = 0

[tex]i[/tex] = 2ab[tex]i[/tex]

2ab = 1

ab = 1/2

b = 1/2a

Now, since a² - b² = 0,

a² - (1/2a)² = 0

a² - 1/(4a²) = 0

[tex]\frac{(4a^{4}-1 )}{4a^{2} }[/tex] = 0

That means the numerator MUST be 0.

[tex](4a^{4}-1 )}[/tex] = 0

[tex]4a^{4}[/tex] = 1

[tex]a^{4}[/tex] = 1/4

a = ± [tex]\frac{1}{\sqrt{2} }[/tex]

if a = [tex]\frac{1}{\sqrt{2} }[/tex] , then b = [tex]\frac{1}{\sqrt{2} }[/tex]

If a = -[tex]\frac{1}{\sqrt{2} }[/tex] , then b = -[tex]\frac{1}{\sqrt{2} }[/tex]

So, it's either a = -[tex]\frac{1}{\sqrt{2} }[/tex]  and b = -[tex]\frac{1}{\sqrt{2} }[/tex] , or a = [tex]\frac{1}{\sqrt{2} }[/tex]  and b = [tex]\frac{1}{\sqrt{2} }[/tex]

That's why sqrt(i) =0.707106781 + 0.707106781i, or sqrt(i) = -0.707106781 - 0.707106781i

Miss Owens plans to join golds gym there is a one time registration fee of $75 and a monthly charges $15 write an equation to represent the situation. Be sure to identify the slope and the Y intercept remember your equation must be in slope intercept form Make a table for three points

Answers

ANSWER: y=75x+15

Srry if I'm wrong

Answer:

i believe that the right equation is y = 15x + 75 lol

Step-by-step explanation:

so slope intercept form, y = mx + b, means that y is not known yet. in this problem, since we don't know how many months miss owens is planning on, we don't know the total. so, the total will be represented by y. next, like i said before, since it is unknown how many months she will be paying for, that can be represented by a variable too, x. so now we have y = 15x + b. and the last part of the equation would be 75, which replaces b. so, the final equation is y = 15x + 75. and the slope is 15, the y intercept is 75, and the x intercept is -5. :) hope this helps!

can someone please help me with this question

Answers

Answer:

60 in^3

Step-by-step explanation:

You just multiply the base by the height.

Answer:600

Step-by-step explanation: hope this helps you

Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?​

Answers

Answer:

Step-by-step explanation:

7, 1

Use rounding to estimate the sum.

Estimate the sum.
78.9+71.2

Answers

Answer:

150

Step-by-step explanation:

add 79+ 71 because you rounded to get that number then add :)

150

When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.

You are thinking of withdrawing all your funds; $45,000 from your 401 (k) at age 54. The normal tax rate for you would be 28%. The rules for withdrawing funds before the age of 59 1/2 is a 10% penalty. How much would you save if you waited until age 59 1/2?

Answers

Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]

Used the concept of tax which states that,

A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.

Given values:

Amount of funds: [tex]\$45,000[/tex]

Normal tax rate: [tex]20\%[/tex]

Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]

Step-1; Computation of after-tax amount paid at 54 years:

[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]

[tex]= \$45,000 \times (1 - 0.2)[/tex]

[tex]= \$36,000[/tex]

Step-2; Computation of after-tax amount paid at 59.5 years:

[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]

[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]

[tex]= \$32,400[/tex]

Step-3; Computation of the amount saved;

[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]

Therefore, the amount  [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.

Learn more about taxes in the related link:

brainly.com/question/18367351

#SPJ12

Makinzee bikes 64.4 miles in 4 hours. What is her average rate of miles per hour?


Pls help

Answers

Answer:

16.1 mph is your rate

Step-by-step explanation:

Answer:

16.1 per hour

Step-by-step explanation:

just divide the mile by the hours.

64.4 / 4

whats love, in words dont give as random answer

Answers

To me...I think love is sacrifice,honesty,loyalty and selflessness. Lol that might be really cheesy but that’s just me! Heh! :3

Answer:

Love is something you have to take care of figuratively.

Love is life, but love is sometimes not the thing to have sometimes

Love could be great, Love could be bad.

Step-by-step explanation:

Which one?
A. B. C. or D? ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

step-by-step explanation

Convert 1/12 ft. To inches.

Answers

Answer:

1 inch

Step-by-step explanation:

There are 12 inches in 1 foot so 1/12 is 1 inch

1 foot = 12 inches

1/12 feet = 1 inch

The price of a television increased from $325 to $390. By what percentage was the price of the television increased?

Answers

Answer: 13.76 percent

Step-by-step explanation:

11 is what percent of 41?

Answers

Answer: What do you mean?

Is this even correct question?

Answer:

4.51

Step-by-step explanation:

you have to divide

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