Answer:
x=28
Step-by-step explanation:
From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.
Summarizing:
1. m<3 = m<4
2. m<1 = m<2
3. m<1 + m<2 + m<3 + m<4 = 360
Substituting 1 and 2 in equation three we have:
4. 2m<2 + 2m<3 = 360.
Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:
2 ( x + 84) + 2 ( 3x + 16) = 360
Solving for x:
2x + 168 + 6x + 32 = 360
8x = 224
x=28
<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Answer: H
Step-by-step explanation:
7% of 21 is 1.47
Hello :
the line parallel to the x-axis if : ( a = 0 and b <span>≠ 0)
for exemple : a = 0 and b= 3 the line has the equation ; y = 2</span>
