PLEASE HELPPP!! Triangle HJK and triangle PMK are similar right triangles.The coordinates of all the vertices are integers.

Which statement is true about the slope of HK and the slope of PK?

A) The slope of HK is less than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK.

B) The slope of HK is equal to the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for HK as it is for PK.

C) The slope of HK is greater than the slope of PK, because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for HK than it is for PK.

D) The relationship between the slope of HK and the slope of PK cannot be determined, because the triangles are congruent.

Answers

Answer 1

Answer:

The slope-of-HK is lessthan the slope-of-PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

Two triangles:

Triangle HJK and Triangle PMK.

We will find the slope of each triangle.

We will find two coordinates from each triangle and find the slope.

The slope is given as:

Slope = d - b / c - a

Where (a, b) and (c, d) are the two coordinates.

Triangle HJK:

Two coordinates are = (-6, 7) and (-7, 8)

Slope of HK = (8 - 7) / (-7 + 6) = 1 / -1 = -1

Triangle PMK:

Two coordinates are = (0, 3) and (4, 0)

Slope of PK = (0 - 3) / (4 - 0) = -3 / 4 = -0.75

We see that,

The slope of HK is lessthan the Slope of PK.

-1 < -0.75

Thus,

The slope-of-HK is lessthan the slope-of-PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for HK than it is for PK.

Option A is the correct answer.

Learn more about equation of a line here:

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Answer 2

Answer:

The answer is B :)

Step-by-step explanation:

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Is (0,2),(1,4), (2,5), (3,6) a function

Answers

Answer:

This relationship is a function

Step-by-step explanation:

By definition a relation is defined as a function if and only if for each input value x there is only one output value y.

In this case we observe the following ordered pairs

(0,2),(1,4), (2,5), (3,6)

We see that each value x has only a value of y.

$x = 0,\ y = 2\n\nx = 1,\ y = 4\n\nx = 2,\ y = 5\n\nx = 3,\ y = 6$

Therefore this relationship is a function

Need help on this question!!! solve for x

Answers

First add 2 to both sides to cancel:

x/3 = 5

then multiply by 3 to both sides to cancel the 3:

x=15

Answer: 15, x=15

Step-by-step explanation: Start off by adding 2 to both sides. So then you have x/3 = 5.

Then multiply each side by 3 so you get 15.

X=15

Monica is buying a new dress for herjob interview at Amazon. The total

(without tax) is $65.49.

If she is shopping in Pearland, where

the sales tax rate is 8.25%, what will

be the AMOUNT OF SALES TAX for

her dress (remember to round to two

decimal places since it's money)?

What’s the answer

Answers

Answer: Sales tax would be $5.40

Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.

The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).

Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,

Sales tax = Sales price x 0.0825

Sales tax = 65.49 x 0.0825

Sales tax = 5.402925

Approximately to two decimal places, the sales tax becomes $5.40

John gets a new job and receives a $500 signing bonus. After that he makes 150 a day The slope is?

Answers

the slope is 150 a day.

Hope this helps!

What’s the y axis though

I don't really get what it mean by "A group of 10 friends had lunch together at a restaurant. The meal cost a total of $99.50, including a 15% tip. How much was the total bill for lunch before tip?"

Answers

don't mind how many frieds there were, they question doesn't ask about that

so
original=100%
plus a 15% tip
100%+15%=115%

the total WITH tip was 99.50

therefor
99.50=115% of total befoer tip

percent means parts out of 100
115%=115/100=1.15

'of' means multipy

99.50=1.15 times totalbeforetip
divide both sides by 1.15
86.521=totalbeforetip
round
86.52=totalbefretip

totalbeforetip=$86.52

If 5 tickets cost $11.00, how much do 20 tickets cost?

Answers

Answer: 44 dollars

Step-by-step explanation:

so there is two ways to do this so ill show you both and you can see which one is easier for you!

method 1- divide the total amount of tickets by the amount with the cost. Then multiply that number by the cost

20/5=4 4*11=44

method 2- divide the money by the number with the cost. Then multiply it by the total amount of tickets.

11/5=2.2 2.2*20=44