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9966 [12]
1 year ago
11

What is the slope of the line through (- 7 8 and 0 4?; What is the slope of the line that passes through the points − 1 − 7 − 1

− 7 and − 2 − 5 − 2 − 5 )? Write your answer in simplest form?; What is the slope of a line that passes through points 5'4 and 7/10 )?; Which is the slope of the line that passes through the points 3/5 and 8 7 )?
Mathematics
1 answer:
ankoles [38]1 year ago
6 0

The slopes of the given 4 sets of points are -11/8, -2, 6, and 2/5

we know that the slope of a line is calculated by

(y₂ - y₁) / (x₂ - x₁)

where x₁, x₂, y₁, and y₂ are any 2 given coordinates of a line.

The first set of points are (-7, 8) and (0,4)

Hence slope will be

(4 + 7)/(0-8)

-11/8

It is given that the points are (-1, -7) and (-2, -5)

Hence the slope will be

(-5 + 7)/(-2 + 1)

= 2/-1

= -2

We are also given points (5,4) and (7,10). Hence slope will be

(10 - 4) / (5 - 4)

= 6

The other set points are

(8,7) and (3,5)

Their slope will be

(7 - 5) / (8 - 3)

= 2/5

Hence the slopes are -11/8, -2, 6 and 2/5

To know more about coordinate geometry visit

brainly.com/question/26650346

#SPJ4

Complete Question

What is the slope of the line through (- 7,8) and (0,4)?

What is the slope of the line that passes through the points (−1,−7(−2,−5) Write your answer in simplest form.

What is the slope of a line that passes through points (5,4) and (7/10)?; What is the slope of the line that passes through points (3,5) and (8,7 )?

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Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF=JK
NISA [10]

Answer:

A) AAS; B) LA; C) ASA

Step-by-step explanation:

AAS is the Angle-Angle-Side congruence statement.  It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent.  In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK.  These are two angles and a non-included side; this is AAS.

LA is the leg-acute theorem.  It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.

The leg we have congruent from each triangle is DE and JK.  We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute.  This is the LA theorem.

ASA is the Angle-Side-Angle congruence statement.  It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.  

We have that ∠D≅∠J, DE≅JK and ∠E≅∠K.  This gives us two angles and an included side, or ASA.

7 0
3 years ago
Read 2 more answers
The surface area of a cube is 96 in.?.<br>What is the volume of the cube?​
salantis [7]

Answer:

64

Step-by-step explanation:

surface area of the cube =96

suppose one side of the cube = a

volume of the cube(V) =?

surface area = 6a^2    

6a^2=96

a ^2 =96/6  

a^2=16  

a = 4

SO

V= a^ 3  

V=64.

brainliest plz :'D

3 0
3 years ago
Read 2 more answers
Show your work please!
timofeeve [1]

Answer:

C

Step-by-step explanation:

10^5=100,000

100,000*4.7=470,000  (Four Hundred Seventy Thousand)

10^8=100000000

100000000*3.9=390,000,000 (Three Hundred Ninty Million)

10^5=100,000

100,000*5.2=520,000 (Five Hundred Two Thousand)

Least to Greatest:

470,000     520,000   390,000,000

I                       III                     II

C

6 0
3 years ago
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What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? A)
Blizzard [7]
We can make a conclusion that the more fog there is, the less distance the pilot can see. this means that there is a negative association because if this were graphed, the slop would be negative, as the x-axis (amount of fog) increases and the y-axis (distance pilot can see) decreases.
7 0
3 years ago
What is the probability that a randomly selected person is on the swim team? Express the probability as a percent rounded to the
frez [133]
<span>What is the probability that a randomly selected person is on the swim team?
28 out of 67 people are on the swim team
so that's 28/67
</span><span>41.7910448% round to the nearest tenth 
41.8% is the answer. 

Hope this helps, Have a nice day!</span>
5 0
3 years ago
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