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Elza [17]
3 years ago
7

Question 15: Given l∥m, find the value of x.

Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer:

x=8

Step-by-step explanation:

the addition of all the angles must equal 360(the 4 angles on the intersection) degrees

125+125=250

360-250=110

110/2=55

7*8-1=55

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4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope! 

(-8,5)  (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5         5
---------   = ----- = 1 
-3-(-8)         5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b 

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b  SUBSTITUTE 
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So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13 

y=1x+13 is our final answer.



5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2) 

We have the equation y= 3x-1, so find the reciprocal slope! 
--> y=-1/3x-1 

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b   SUBSTITUTE and revert "-1" to "b", for we are trying to find the y-     -4=-3+b          intercept of our perpendicular equation. 
+3   +3            ADD
--------
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So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :( 
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3 years ago
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Answer:

<u>e</u>

Step-by-step explanation:

According to Angle Sum Property :

<u>∠A + ∠B + ∠C = 180°</u>

<u />

============================================================

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⇒ ∠A = 50°

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===========================================================

Solving :

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Answer:

i think this is right i hope it helped :)

Step-by-step explanation:

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