Answer:
x = -8°
Step-by-step explanation:
Angle 2
Since the triangle is isosceles, Angle 2 is the same as the missing angle
So angle 2 would be:
180 - 34 = 2(angle 2)
So 146 = 2(x + 81)
146 = 2x + 162
146 - 2x = 162
-2x = 16
x = -8
Check
146 = 2(-8+81)
146 = 2(73)
146 = 146
Correct!
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Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope
The equation of the given line is
y = - 23x+5
Comparing it with the slope intercept equation, slope, m = -23
If a line is perpendicular to another line, the slope of the line is the negative reciprocal of the given line. This means that the slope of the line passing through the point (8, 1) is 1/23
We would determine the intercept, c by substituting m = 1/23, x = 8 and y = 1 into y = mx + c. It becomes
1 = 1/23 × 8 + c
1 = 8/23 + c
c = 1 - 8/23 = 15/23
The equation becomes
y = x/23 + 15/23
Answer:
Independent events
Step-by-step explanation:
Independent means that it doesn't have to rely or is determined by any thing else.
Answer:
x = -8
Step-by-step explanation:
1/4x+2=-5/8x-5
Add 5/8 x to each side
1/4x + 5/8 x+2=-5/8x + 5/8x-5
1/4x + 5/8x +2 = -5
Subtract 2 from each side
1/4x + 5/8x +2-2 = -5-2
1/4x + 5/8x = -7
Get a common denominator of 8
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7 * 7/8x = -7*8/7
x = -8
You see that
.
This rule gives you an oportunity to state that 
. Therefore, 
. Multiplying function f(x) by factor 1/2 you obtain function g(x) that is compression function f(x) in the y-direction.
Answer: compression function f(x) in the y-direction by factor 1/2.
