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soldi70 [24.7K]
3 years ago
13

What is the slope of the line for BOTH graphs? Are the slopes the same or different?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

both are -10

Step-by-step explanation:

#1

x1 y1  x2 y2

1.5 180  6 135

(Y2-Y1) (135)-(180)=   -45  ΔY -45

(X2-X1) (6)-(1.5)=    4.5  ΔX 4.5

slope= -10          

B= 195          

Y =-10X +195

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~    

#2

x1 y1  x2 y2

1 175  8 105

   

(Y2-Y1) (105)-(175)=   -70  ΔY -70

(X2-X1) (8)-(1)=    7  ΔX 7

slope= -10          

B= 185          

Y =-10X +185    

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What theorem shows that TPN ≅ TQM?
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Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

TQ\cong TP,TM\cong TN

To find:

The theorem which shows that \Delta TPN\cong TQM.

Solution:

In triangle TQM and TPN,

TQ\cong TP        [Given]

\angle QTM\cong \angle PTN         [Given]

TM\cong TN        [Given]

Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.

\Delta TPN\cong TQM              [SAS]

Therefore, the correct option is C.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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