Let
3x----> angle exterior 1
4x----> angle exterior 2
5x----> angle exterior 3
we know that
The exterior angles of any polygon add up to 360 degrees
so
3x+4x+5x=360-------> 12x=360----------> x=30°
The largest of exterior angles is equal to the smallest of interior angles
so
the largest of exterior angles is 5x------> 5*30=150°
the smallest of interior angles is 180°-150°=30°
therefore
the answer is
the smallest of interior angle measure 30 degrees
Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.
Answer:
Width of the arch = 105 m
Step-by-step explanation:
Function representing the width of the arch,
f(x) = -0.016(x - 52.5)² + 45
where x = width of the base of the arch or horizontal distance from arch's left end
f(x) = vertical distance of the arch
From the given quadratic function, vertex of the parabola is (52.5, 45).
Coordinates of the vertex represents,
Height of the arch = 45 m
Half of the horizontal distance from the left end = 52.5 m
Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5
= 105 m
Therefore, given bridge is 105 m wide.
Answer:
See joint picture.
Step-by-step explanation:
The study lasts 6 days. Since the amount of plant food decreased an equal amount each day, and since the whole 72 millimeters were used, it means that plants consumed 72/6 = 12 millimeters daily.
All the results given come from this justification.
