First, we need to get the slope of the equation of the train tracks. We can transform the given equation into the slope-intercept form.
4x +2y = 16
y = -2x +8
The slope of the equation is -2.
A perpendicular line will have the same slope but the opposite sign.
So, the slope of the line of the train crossing is 2. Since, it will pass through the point (8,15), the slope-intercept form can also be used to solve for the equation.
y = mx + b
The slope is 2, so m=2. We solve b by substituting the coordinates.
15 = 2(8) +b
b = -11
The equation is now,
y = -2x - 11
Or it can also be expresses as:
2x - y = 11
If the numbers that we are checking divisibility for are between 1-100, there are 3 numbers.
30, 60, and 90 are all divisible by both 3 and 10 because both 3 and 10 are factors of these 3 numbers.
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Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
4 5/8
4 1/8
20 1/2
4 3/8
0.25 or 16