Which lines in the following proof of △ABC≅△CDA have the correct justification? Select all that apply.
Options:
A. AC≅AC, Reflexive Property of Congruence
B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Answer:

thanks for the free points! anways but i think it s c

Step-by-step explanation:

its c

Answer: 16

Step-by-step explanation:

do the parentheses first.

8 / 2 x 4

then calculate.

4 x 4 = 16

Answer: c

Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour

Answer:

0.277 ft^2

Step-by-step explanation:

5/12 * 2/3 = 0.277

Answer:

5/18

Step-by-step explanation:

5/12 * 2/3 = 5/6 * 1/3 = 5/18

Answer: dude take a deep breath and answer the question it’s very easy

Step-by-step explanation:

Answer:

87, if it were 45 degrees,  it would be 90, closest to 90 is 87

Answer:

87 feet

Step-by-step explanation:

We have an angle that's 44 degrees and we know that Susan is 90 feet from the base of the tree. We need to know the height of the tree, which is the value opposite from the angle we know.

Use tangent to find height.

tan (44) = x / 90   then multiply both sides by 90

x = tan (44) * 90   evaluate tan(44) and substitute into the equation

x = 86.911

round to nearest whole foot: 87 feet

Answer:

???????

Step-by-step explanation:

Answer:

2j = 36

Step-by-step explanation:

First, look for keywords.

"Product" means you multiply, and when you multiply a number by a variable you set it up by putting them together as demonstrated. 36 is the product so it's your total.

Answer:

12.9

Step-by-step explanation:

Let's understand this,

Angle of elevation is 30° and the is standing perpendicularly, we have to find the distance from the branch to the mouse.

According to question,

cosine or cos thita = Base/Hypotenuse

Cos 30° = 15/H

0.86 = 15/H

H = 0.86 × 15

H = 12.9 (Round off 13)

Hope it helps!

Answer:

a:3.5

b:0.2

c:.3

Step-by-step explanation:

Answer:B

Step-by-step explanation:2/8*40=10

Answer:

Both calculated the slope as 2/9

Step-by-step explanation:

Answer:

43/24

Step-by-step explanation:

The solving steps are as follows:

[tex] - \dfrac{3}{8} + \dfrac{13}{6} \\ = \dfrac{13}{6} - \dfrac{3}{8} \\ = \dfrac{13 \times 4 - 3 \times 3}{24} \\ = \dfrac{52-9}{24} \\ = \boxed{\frac{43}{24} }[/tex]

Answer:

43/24

Step-by-step explanation:

LCM of 6 and 8 = 24

[tex]\sf \dfrac{-3}{8}=\dfrac{-3*3}{8*3}=\dfrac{-9}{24}\\\\\\\dfrac{13}{6}=\dfrac{13*4}{6*4}=\dfrac{52}{24}\\\\\\\dfrac{-3}{8}+\dfrac{13}{6}=\dfrac{-9}{24}+\dfrac{52}{24}[/tex]

              [tex]\sf = \dfrac{-9+52}{24}\\\\= \dfrac{43}{24}\\\\[/tex]

Answer:

A - a = 4, b = -3, c = 3

Step-by-step explanation:

When you substitute in a, b, and c you get

(2x - 5) (x + 2) + (4x^2 + -3x + 3)

collect like terms

(2x)(x) + (2x)(2) + (−5)(x) + (−5)(2) + 4x^2 + −3x + 3

combine like terms

2x^2 + 4x + −5x + −10 + 4x^2 + −3x + 3

(2x^2 + 4x^2) + (4x + −5x + −3x) + (−10 + 3)

6x^2 + −4x + −7

6x^2 + −4x −7

Answer:

It’s an open circle, so it’s

x > 4

Step-by-step explanation:

Answer:

it is a

Step-by-step explanation:

because it is going to the right and it has an open circle

The unit rate is 22.5 cents per oz .

The unit rate of any quantity is calculated by dividing (total cost) with (total units purchased).

For Example : If 12 bananas cost $120 then 1 banana will cost 120/12=$10.

In the given question

16oz bottle costs $3.59.

As we have to find the unit rate in cents per oz , we first convert $3.59 to cents.

We know that

$1=100cents

$3.59=100*3.59

=359cents

So the price of 16 oz bottle = 359 cents

Unit rate = (total price ) / (units purchased)

Substituting the total price as 359 cents and units purchased as 16oz.

Unit rate = 359/16

=22.4375

≅22.5

Therefore , the unit rate is 22.5 cents per oz.

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Answer:

Step-by-step explanation:

d=80 ft

r=80/2=40 ft

volume of cylinder=π r²h,where h is height or depth of cylinder.

π×40²×h=825,000

πh=825,000/40²=4125/8

h=4125/(8π)≈164.1285≈164.13 ft

The depth of water in the reservoir is approximately 21.92 feet.

To find the depth of water in the reservoir, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

Where:

Volume is the total volume of water in the reservoir (in gallons),

π (pi) is a mathematical constant approximately equal to 3.14159,

r is the radius of the reservoir (half of the diameter), and

h is the depth of water in the reservoir (in feet).

Given:

Diameter = 80 feet

Volume = 825,000 gallons

We first need to calculate the radius (r) of the reservoir:

Radius (r) = Diameter / 2 = 80 feet / 2 = 40 feet

Now, we can convert the volume from gallons to cubic feet because we need the measurements to b²e in consistent units:

1 gallon ≈ 0.13368 cubic feet

Volume (in cubic feet) = 825,000 gallons * 0.13368 cubic feet/gallon ≈ 110,127 cubic feet

Now, we can find the depth (h) using the formula:

110,127 cubic feet = π * (40 feet)² * h

Solving for h:

h = 110,127 cubic feet / (π * 40 feet)² ≈ 110,127 cubic feet / 5026.5482 square feet ≈ 21.92 feet

Therefore, the depth of water in the reservoir is approximately 21.92 feet.

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Step-by-step explanation:

hope this helps you out some

Answer:

Number of nickels is 49 and the number of quarters is 32

Step-by-step explanation:

Answer:

“the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Step-by-step explanation:

Let us breakdown and translate the word expression into an algebraic expression.

The sum of 3c and 8 is algebraically represented as:

⇒ 3c + 8

Thus,  “the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Answer:

-(y+3)=(x-2)^3

Step-by-step explanation:

Transformed function B is f' ( x ) = - ( x - 2 )³ + 1

The transformed function is given by y = - ( x - 2 )³ + 1

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be denoted as A

Now , the value of A is

y = x³

Let the transformed function be denoted as B

Now , the value of B is calculated by

Step 1 :

A reflection across the x-axis

So , the function changes to g ( x ) = -x³

Step 2 :

A translation 1 unit up

Up by d units: y = f(x) + d

So , the function changes to h ( x ) = -x³ + 1

Step 3 :

A translation of 2 units right

Right shift by c units:  y=f(x-c)

So , the function changes to f' ( x ) = - ( x - 2 )³ + 1

Therefore , the value of B is f' ( x ) = - ( x - 2 )³ + 1

Hence , the transformed function B is f' ( x ) = - ( x - 2 )³ + 1

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The expression represents the sum of the holes.

The variable in the expression is Mia's age.

The simplified expression is 4x - 6

The constant in the simplified expression is -6.

An expression in mathematics is a sentence that is made up of at least of two numbers or variables and has at least one mathematical operation in it.  An expression does not have an equal to sign (=). An example of an expression is 2 + x .

A constant is a value in an expression that never changes in value. For example, in the expression 2x + 5x, 2 is the constant.

Mia's holes = x

Isabelle's holes = 2x - 16

Erick's holes = 10 + x

Sum of holes = x + 2x - 16 + 10 + x

To simplify, add similar terms together : 4x - 6

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Answer:

L = 3x - 2

P = 6x - 10

Step-by-step explanation:

Area = length * width

A = l*w

so if the width is 6 inches we can say w = 6

and we can say that l = to the length of the rectangle

if we substitute this:

(18x - 12) = l * 6

we get the answer l = 3x - 2 since we divide both sides by 6.

the expression for length of the rectangle is -> l = 3x - 2

for the perimeter:

P = 2(l + w)

if we substitute this:

P = 2(3x - 2) + 6

distributive property:

P = 2(3x) - 2(2) + 6

then would be:

P = 6x - 4 + 6

(combine like terms) -> P = 6x - (4 + 6)

then you would get: P = 6x - 10

which can also be writtern as -> P = 6x + (-10)

but this is not simplified so you would just write it as 6x - 10

Hope this helps, and hope this was the answer you were looking for. Thank you. Sorry if this does not help