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2 years ago

4

The table contains the proof of the theorem of the relationship between slopes of parallel lines. What is the missing statement

in step 2?
BC = EF, AB = DE

BC × AB = -(EF × DE)

2 answers:

ozzi2 years ago

7 0

Using the following statements will help you get a better understanding of these congruent triangles. Triangle ABC and DEF are similar. Similar triangles. Slope of line AC = BC/AB. Slope of line DF = EF/DE. Slope of line AC = Slope of line DF.

<span>I think the answer is choice <span>A). BC/AB = DE/EF</span></span>

<span><span>I hope this helps xx</span></span>

emmasim [6.3K]2 years ago

5 0

i think the answer could be

A). BC/AB = DE/EF

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You own Everything's Coming Up Roses flower shop. Your employee makes 4 deliveries per hour. The distance between the shop and t

USPshnik [31]

I’m not entirely sure but the answer might be 72 1/2 miles. I added up 12 1/3, 8 3/4, 17 2/8, 23 2/3, and 10 5/10. And I got 72 1/2.

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2 years ago

A linear function that represents the number of hot dogs purchased at a football game is compared to a different linear function

Vsevolod [243]

Answer:

Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other

Step-by-step explanation:

Take for instance 2 linear functions, and

If they intersect in some point in the space, say that is

Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)

So, we can compare the two functions and get the following result;

It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.

hope this helps!

5 0

2 years ago

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist

Lera25 [3.4K]

Answer:

$Sum = -81$

Step-by-step explanation:

See the comment for complete question.

Given

$c = 36$ ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

$x^2 + ax + 36 = 0$

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

$x = -\alpha$ and $x = -\beta$

Using the above roots, the equation can be represented as:

$(x + \alpha)(x + \beta) = 0$

Open brackets

$x^2 + (\alpha + \beta)x + \alpha \beta = 0$

To compare the above equation to $x^2 + ax + 36 = 0$ , we have:

$a = \alpha + \beta$

$\alpha \beta = 36$

Where: $\alpha, \beta$ and $\alpha \ne \beta$

The values of $\alpha$ and $\beta$ that satisfy $\alpha \beta = 36$ are:

$\alpha = -1$ and $\beta = -36$

$\alpha = -2$ and $\beta = -18$

$\alpha = -3$ and $\beta = -12$

$\alpha = -4$ and $\beta = -9$

So, the possible values of a are:

$a = \alpha + \beta$

When $\alpha = -1$ and $\beta = -36$

$a = -1 - 36 = -37$

When $\alpha = -2$ and $\beta = -18$

$a = -2 - 18 = -20$

When $\alpha = -3$ and $\beta = -12$

$a = -3 - 12 = -15$

When $\alpha = -4$ and $\beta = -9$

$a = -4 - 9 = -13$

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

$Sum = -37 -20 -15 - 9$

$Sum = -81$

7 0

2 years ago

93.34 divided by x = 18.69

jeka57 [31]

Answer: 4.99 (answer would be 5 if rounded)

Step-by-step explanation:

93.34/18.69=x

x=4.99

3 0

2 years ago

Every week a technician in a lab needs to test the scales in the lab to make sure that they are accurate. She uses a standard ma

melisa1 [442]

Precision is a measure of how close a value is to the ideal value. In this case, we calculate the difference to know what is the closest to 4 g:

4.05 – 4 = 0.05

3.98 – 4 = -0.02

4.021 – 4 = 0.021

We can see that the value of 3.98g has the lowest difference and is therefore the closest to 4g. Hence the most precise is:

<span>3.98 g</span>

3 0

2 years ago