Lily began a plan for this proof.

Since ∠1 and ∠2 are supplementary and ∠1 and ∠3 are supplementary, then m∠1+m∠2=180° and m∠1+m∠3=180°. If she can get m∠2 and m∠3 to both equal the same expression, she can use the transitive property of equality to set them equal to each other.

How can Lily get m∠2 and m∠3 to both equal the same expression?

Answer:

  12

Step-by-step explanation:

To evaluate the given expression for the given value of k, put that value into the expression in place of k, then do the arithmetic.

  [tex]\sqrt{-72k}\qquad\text{for $k=-2$}\\\\\sqrt{(-72)(-2)}=\sqrt{144}=12\qquad\text{positive square root}[/tex]

The value is 12.

Answer:

12

Step-by-step explanation:

trust me

Laticia completed the exam first

As

Laticia completed first

Answer:

-7 and -5

AND

-3 and -1

Step-by-step explanation:

Each mold will have 1/32 cup of melted wax.

A fraction represents a part of a whole.

We know that 1 gallon is equal to 16 cups.

Therefore, 1/8 gallon is equal to:

(1/8) x 16 cups/gallon = 2 cups/8 = 1/4 cup

So we have 1/4 cup of melted crayon wax in total.

If we pour this equally into 8 different molds to make new crayons, each mold will have:

(1/4) / 8 = 1/4 x 1/8 = 1/32 cup

Therefore, each mold will have 1/32 cup of melted wax.

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Answer:

4 weeks

Step-by-step explanation:

660-160=500

500/125= 4 weeks

Answer:

143.76C

x-114=29.76

Answer:

35% gives more off

Step-by-step explanation:

Answer:

9514 1404 393

Step-by-step explanation:

 k = 2

The point (0, 0) on the graph of f(x) tells you f (0) = 0.

The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.

Now we know that

 g(-2) = 0 = f(0) = f(-2+k)

or ...

 0 = -2+k

 2 = k

The value of k is 2

so the answer to you problem is k=2

Step-by-step explanation:

-4

4

and those are the only ones i know

Answer:

7cm, assuming the question is phrased as noted below.

Step-by-step explanation:

I'll interpret "If the length of a rectangle doubles its width." as "If the length of a rectangle is double its width.

Let L be the width, and L the length

L = 2W

The perimeter of a rectangle is 2L + 2W

We can use L instead of 2W,  and that gives us:

  21 cm = 2L + L

21 cm = 3L

L = 7 cm

Answer:

a) 0.968 s (nearest thousandth)

b) 0.625 s

Step-by-step explanation:

Give equation:  [tex]-16x^2 + 10x + 15 = 0[/tex]

If the linear term represents the initial velocity,
then the initial velocity in the original equation = 10 ft/s

If the constant term represents the initial height,
then the initial height in the original equation = 15 ft

a) If the initial velocity is 0

[tex]\implies -16x^2 + 15 = 0[/tex]

[tex]\implies x^2 = \dfrac{15}{16}[/tex]

[tex]\implies x = \pm\dfrac{\sqrt{15}}{4}[/tex]

As time is positive,

[tex]\implies x =\dfrac{\sqrt{15}}{4}=0.9682458366...[/tex]

The flotation device will hit the water after 0.968 s (nearest thousandth)

b) If the initial height is 0:

[tex]\implies -16x^2 + 10x = 0[/tex]

[tex]\implies -2x(8x-5) = 0[/tex]

[tex]\implies -2x=0\implies x=0[/tex]

[tex]\implies 8x-5=0 \implies x=\dfrac58[/tex]

Therefore, the flotation device lands in the water after 5/8 seconds = 0.625 s

Def. of Geometric Mean: the nth root of the product of n numbers

The geometric mean of 7 and 11 =  [tex]\sqrt{7*11} =8.775\\[/tex] (approximated)

Hope that helped!

Answer: it is the square root of 77 or D in the case of this quiz

Step-by-step explanation: got 100% on the test

The vertical asymptote is 8 and the horizontal asymptotes is zero

Given the function expressed as:

[tex]f(x)=\frac{4}{x-8} - 2[/tex]

The vertical asymptote is the point where the denominator is zero.

x - 8 = 0

x = 8

Hence the vertical asymptote is 8

There is no horizontal asymptote since the numerator is a constant. Hence the horizontal asymptote of the function is zro

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Answer:

Vertical is x=8

Horizontal is y= -2

Step-by-step explanation: took the test and missed it because 0 is wrong for horizontal

Answer:

-3

Step-by-step explanation:

[tex]log_{n} n^{a} =a\\[/tex]

[tex]0.001 = 10^{-3}[/tex]

[tex]log_{10} 0.001=log_{10} 10^{-3} =-3[/tex]

Considering the margin of error, it is found that the 99% confidence interval will be wider than the 95% confidence interval.

It is given by:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

From this, we get that the margin of error is direct proportional to the critical value, hence [tex]z_{99}>z_{95}[/tex], which means that the 99% confidence interval will be wider, that is, it will have a larger margin of error, than the 95% confidence interval.

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Answer:

5

Step-by-step explanation:

Everytime I try to do the explanation picture because I wrote it down it won't work. Brainly bots do not take this answer down!

Step-by-step explanation:

again, in a geometric sequence all terms are created by multiplying the previous term by a constant factor.

7640 × f = 764

f = 764/7640 = 1/10

a1 = 7640

a2 = a1 × 1/10 = 7640 × 1/10 = 764

a3 = a2 × 1/10 = a1 × 1/10 × 1/10 = 7640 × 1/100 = 76.4

an = 7640 × (1/10)^(n-1)

a6 = 7640 × (1/10)⁵ = 7640 × 1/100000 = 0.0764

Answer: 11.8 degrees and 78.2 degrees

Step-by-step explanation:

Answer:

  (b)  The result of adding two polynomials is always a polynomial.

Step-by-step explanation:

A set is "closed" under a particular operation if performing that operation on members of the set always results in a member of the set.

Adding two polynomials always results in a polynomial, so we can say "polynomials are closed under addition."

Answer:

Step-by-step explanation:

a is 79

b is 79

d is 79

180 - 79 is 101

x is 101

c is 101

z is 101

y is 101

Answer:56.57in

Step-by-step explanation:

Answer:

even

Step-by-step explanation:

bc it is the same on both sides

Answer:

3/14

Step-by-step explanation:

Put the number of students that want to be a therapist AND have a fear of height (this would be 3) over the TOTAL amount of students in the sample, in this case it's 14.

so it's 3/14 and it doesn't simplify

you're welcome

Answer:

21%

Step-by-step explanation:

First we need to find the total amount of people that did the personality test. We can do that by adding all the numbers in the table

[tex]4+5+2+3=14\\[/tex]

now, to find the percentage of students that want to be a therapist and a fear of heights, we simply divide the number of students who fit that demographic by the total number of students

[tex]3/14= 0.214[/tex]

therefore, there is a 21% chance of picking a student in that demographic at random

Answer:

$34.29, Gavin spent $34.29.

Step-by-step explanation:

12 ÷ 0.35 = 34.2857142857

Round to nearest hundreth: 34.29

Answer:

$4.20

Step-by-step explanation:

dozen = 12 flowers

0.35x12=4.20

Answer: B

              The answer would have to be B because when finding the perimeter, you add all the sides up together. If one of the width of the rectangle is 10, then the other would also be 10, which already makes 20. If both lengths are 12, they would add up to be 24. And finally, 20+24=44!

Answer:

F(4)=8

Step-by-step explanation:

F(x)=2(x)

F(4)

Replace x with 4

F(4)=2(4)

Multiply

F(4)=8

Answer:

d.How many students attend your class each day?

Dr Matthews can be asked How many students attend your class each day?

The practise or science of organising and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

Dr Matthews can be asked How many students attend your class each day?

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it would be 0.1 kilograms per apple