The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
<em><u>Solution:</u></em>
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.
(y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Substitute the known variables.
(y - 18) = ((4 - 18)/(4 - 2))(x - 2)
Simplifying the equation,
y - 18 = -7(x - 2)
y = -7x + 32
<em>ANSWER: y = -7x + 32
</em>Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
</em>
Answer:
y = -2x-7/9
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y intercept. Start by solving for y.
-18x-9y=7
-9y=18x+7 (divide through by -9)
y=-2x-7/9
Answer: 35 m
Step-by-step explanation:
The problem is the same as:
a man is fix (not moving) and the goods train is travelling at the speed of 54+72 = 126 (km/h)
Distance = 126 km/h* 8 s=126000 m/(3600 s) * 8 s=35 m