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natita [175]
3 years ago
7

Use substitution to solve each system of equations. 4x – 5y = –7 y = 5x

Mathematics
2 answers:
Komok [63]3 years ago
8 0
Refer to answers in the picture.

sweet [91]3 years ago
3 0
4x - 5(5x)= -7
4x - 25x = -7
-21x = -7
x = 1/3

y = 5(1/3)
y = 5/3
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3 years ago
Can someone please explain to me the difference between SAS and SSS in Geometry when dealing with triangle proofs?
ANTONII [103]

Hello from MrBillDoesMath!

Answer:   SAS = side - angle -side    congruence

              SSS  = side - side - side     congruence


Discussion :

In Plane Geometry,  identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.

In one approach ("SSS") if you can show that 2 triangles have identical side lengths,  then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)

In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle,  then the triangles are congruent

It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook

Regards, MrB

7 0
3 years ago
Negative number on a number line 3
MrMuchimi
-2.1 because each dash represents 0.1
8 0
2 years ago
Read 2 more answers
It takes Santa 5 minutes to fly 35 miles with the wind .It takes him 7 minutes to fly 35 miles against the wind determine the sp
Dmitrij [34]

Answer: Santa's speed in still air is 6 miles per minute

Speed of the wind is 1 mile per minute

Step-by-step explanation:

Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y

It takes Santa 5 minutes to fly 35 miles with the wind.

Speed = distance / time

It means that

x + y = 35/5 = 7

It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y

Speed = distance/time. Therefore,

x - y = 35 /5 = 5 - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

7 - y - y = 5

-2y = 5 - 7 = -2

y = -2/-2 = 1

x = 7 - y = 7 - 1

x = 6

3 0
3 years ago
Josie is training for a race the ratio of the number of minutes she wants to the number of miles she wants is 2043 she plans to
guajiro [1.7K]

Answer:

Josie takes 0.93 minutes to run 2 miles.

Step-by-step explanation:

We are given the following in the question:

Ratio:

Number of minutes: Number of miles = 20:43

Josie wants to run 2 miles. We have to find the number of minutes she need to run to maintain the ration.

Let x be the number of minutes Josie run.

This can be done in the following manner:

\dfrac{20}{43} = \dfrac{x}{2}\\\\\Rightarrow x = \dfrac{20}{43}\times 2\\\\\Rightarrow x = 0.93

Thus, Josie takes 0.93 minutes to run 2 miles.

8 0
3 years ago
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