Answer:
15. x = 10 3/11
16. ∠Q = 75°
Step-by-step explanation:
<h3>15.</h3>
The two base angles of the isosceles triangle are congruent, so both are 180°-8x. The sum of those, together with the apex angle, will be 180°.
... 2(180 -8x) + (5x -67) = 180
... 360 -16x +5x -67 = 180 . . . . . eliminate parentheses
... -11x = -113 . . . . . subtract 293
... x = 113/11 = 10 3/11
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<em>Note on the solution</em>
This value of x makes the interior base angles of the triangle be 97 9/11°. The apex angle is then -15 7/11°. The solution is correct—all the angles add up properly—but the geometry cannot exist.
_____ _____
<h3>16.</h3>
The approach is the same. The sum of the two congruent base angles and the apex angle is 180°.
... 2(2x+15) + x = 180
... 5x + 30 = 180
... x = (180 -30)/5 = 30
... (2x +15)° = (2·30 +15)° = 75° = angle Q
Answer:
The slope of the line is 10
Step-by-step explanation:
To find the slope, simply identify 2 points on the line. I chose: (1,10) and (2,20)
20-10=10
2-1=1
The slope of the line is 10
To check this answer, just multiply X with 10 and you will always get Y!
Slope intercept form is y = mx + b.
Y = coordinate y.
M = Slope
X = coordinate x.
B = y-intercept.
Slope formula: (y2-y1) / (x2-x1)
Plug in: (-1 - 7) / (4 - 2) = -4.
We can just insert the pair (2,7) as our x and y to solve b.
7 = -4(2) + b.
Solve for b.
7 = -8 + b.
-b = -8 -7
-b = -15
b = 15.
Original equation:
y = mx + b
y = -4x + 15
Answer:
75
Step-by-step explanation:
The answer is 75 percent
I think in order to answer we have to the options
