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RSB [31]
3 years ago
5

Write an equation of the line, in point-slope form, that passes through the two given points.

Mathematics
1 answer:
EleoNora [17]3 years ago
3 0
(-2,15)(9,-18)
slope = (-18 - 15) / (9 - (-2) = -33/11 = -3

There can be 2 answers to this question....
point slope form : y - y1 = m(x - x1)

(1) using points (-2,15)...
     y - 15 = -3(x + 2) <== one possible answer

(2) using points (9,-18)
     y + 18 = -3(x - 9) <== another possible answer
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8 0
3 years ago
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
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