Answer:
Step-by-step explanation:
The sum of angle measures is ...
(7x +13)° +(83 -2x)° = 141°
5x +96 = 141 . . . . . collect terms, divide by °
5x = 45 . . . . . . . . . subtract 96
x = 9 . . . . . . . . . . . divide by 5
7x +13 = 7·9 +13 = 76 . . . . . find m∠J
m∠J = 76°
m∠K = 141° -76°
m∠K = 65°
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
Answer:
f(x) = x
Step-by-step explanation:
note : slope is positive 1, so the x term must be positive
also note the graph intersects the curve at y = 0, which means that they y-intercept is zero .
if we substitute this into the general equation for a line
y = mx + b, where m = +1 and b = 0,
we get y = x
or f(x) = x (in function form)
There were 200 students that attend the dance.
Answer:

Step-by-step explanation:

I hope this helps, and as always, I am joyous to assist anyone at any time.