A) corresponding
B) alternate interior
C) alternate exterior

Answer:

108 3833 832 i73336533

The value of x is 3 units and the measure of each side of the triangle is 15 units.

Given that, the measures of the sides of an equilateral triangle are (3x+6),

(9x-12) and (6x-3).

An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Since, the sides of an equilateral triangle are, we get

3x+6=9x-12

⇒ 9x-3x=6+12

⇒ 6x=18

⇒ c=3

So, 3x+6 =9x-12 =6x-3 =15 units

Hence, the value of x is 3 units and the measure of each side of the triangle is 15 units.

Learn more about an equilateral triangle here:

brainly.com/question/3461022.

#SPJ2

Answer:

4.82803 kilometers

Step-by-step explanation:

1 mile is 1.609 kilometers

Answer:

4.828032

Step-by-step explanation:

i gotchu, x = 14.4

8/x = 5/9 (solve for x)

first you'd cross multiply (property of multiplication)

(8)(9) = (5)x

72 = 5x

then you flip your equation (communitive property)

5x = 72

then you need to eliminate five so you'd divide by 5 (inverse operation)

5x/5 72/5

x = 72/5

so x would be 14.4 since 72/5 is 14.4

(or just 14 since if you rounded it your answer would be 14)

Answer:

35

Step-by-step explanation:

If you put 40 - 5 it would equal 35 in the positive

Answer:

12

Step-by-step explanation:

unless placed in an inconvinient way, this is really the one that makes sense.

Answer:

9 eggs, 3/4 cup water, 3/4 cups of water

EXPLANATION:so 1/4×3, 3 is 3/1 as a fraction

you just multiply 1/4 and 3/1 first 1×3=3 then 4×1=4 so 3/4

Answer:

21 i think ;-; b. v.

Step-by-step explanation:

hyf6ygtuygfyjbfryjjhggyujhgrt

Answer:

1000

Step-by-step explanation:

I search it it cam in a calculator

Answer:

Its 1,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

Answer:

The answer is y = -1/3

Step-by-step explanation:

Hope this helps

Answer:

the answer is 0

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2/3 divided by 4 and 1/6

Answer is 1

Answer:

20 % decrease

Step-by-step explanation:

First find the number of students that left

40 -32 = 8

Take the number of students that left and divide by the original number of students

8/40

1/5

.20

20%

20 % decrease

Answer:

20% decrease ._.

Step-by-step explanation:

If u could subscribe to my friend penny_pg3d on YT, that would be great :)

Step-by-step explanation:

you're welcome aaaaaaaa

Answer:

19

Step-by-step explanation:

Answer:

Its increasing the y value by 2 everytime

Step-by-step explanation:

-4,0 + 0,2 = -4,2

-4,2 + 0,2 = -4,4

to understand the increasing value add 2.

Answer:

Step-by-step explanation:

8 = 23 - 5w

subtract 23 from both sides to cancel out 23

-15 = -5w

divide both sides by -5 to isolate w

3 = w, dividing a negative by a negative will result in a positive

Answer:

7^2-8

Step-by-step explanation:

(just imagine that 2 is above the 7)

Since it asks for the diffrence, it's asking for a subtraction problem, and "7 Squared" is basicly saying to square the 7 before you subtrat

(if you want to know the answer to this algerbraic phrase, its 41)

Answer:

Both functions must have a constant rate of change.

The rate of change of either f(x) or g(x) must be 0.

From the first equation we know that both f (x) and g (x) must be of order 1 or of order 0, since the maximum exponent of X is 1. This indicates that both functions must have a constant rate of change , since the derivative of a function of order 0 or of order 1 is a constant.

From equation 2 we know that both f (x) and g (x) are composed of a single term, since the multiplication of both results in a single term (-9x). In addition, we verify that one of the functions is of order 0 and the other is of order 1, since the result of the product is of order 1.

If f (x) or g (x) are of order 0, which means that they are composed of only one constant, the rate of change of any of the 2  functions is 0.

Step-by-step explanation:

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

[tex]h(x)=-x+9[/tex]

However, when we multiplied them together, we get:

[tex]j(x)=-9x[/tex]

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

However, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

But, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

[tex]y=0[/tex]

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function without a y-intercept.

Remember that our horizontal line is not 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we must get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts cannot be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) must be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

Answer:

343 for both

Step-by-step explanation:

I had the same question

Answer:

Any number different from 2 or 4

Step-by-step explanation:

As long as the number a is not 2 or 4 (which would connect the value of "a" in the Domain with different numerical values in the Range, the relationship will be a function. A function requires that for any element of the Domain there is ONLY one associated element in the Range.

Answer:

y=-x

Step-by-step explanation:

Answer:

f(x) = -x

Step-by-step explanation:

When x = 0 f(x) =0

We cannot and or subtract a number so eliminate choices b and c

When x is positive f(x) is negative

When x is negative  f(x) is positive

f(x) = -x

Answer:

Step-by-step explanation:

[tex]\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}[/tex]

Derek's Mistake ;

[tex]\frac{8d}{8} =\frac{72}{8} \\\\[/tex]

Reason ;

[tex]72\div 8 =9 \\\\So ; d = 9[/tex]

Answer:

Step 2 - d=8

Step-by-step explanation:

72/8 equals 9 not 8

Answer:

A. 62

Step-by-step explanation:

Answer:

The answer is that the 6 pack of is a way better deal.

Step-by-step explanation:

Answer:

The six pack for $2.40

Step-by-step explanation:

As we all know, 6 is half of 12. So then, if the deals were to be equal, the price for six would be half of the price for 12. So $2.40 + $2.40 should equal $5.40. It doesn't. It equals $4.80, which is less than $5.40, which means that it is the better deal because you could buy two six packs and get it cheaper than a twelve pack.

Answer:

37

Step-by-step explanation:

Answer:

90

Step-by-step explanation: