Step-by-step explanation:
step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent
step 2. x = 56° (definition of an isosceles trapezoid)
step 3. x + y + z + 56 = 360 (definition of a quadrilateral)
step 4. y = z (definition of an isosceles trapezoid)
step 5. 56 + 2y + 56 = 360
step 6. 2y = 248
step 7. y = 124°, z = 124°.
Some things you need to know:
1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.
2) When two lines are parallel, the slopes are the same.
3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
example: 3/4 --> -4/3.
3/4 * -4/3 = -12/12 = -1
4) To find the value of b, substitute the point into the equation.
5) Convert the equation to slope y-int. form to find the slope.
6) When a line has an undefined slope, the slope y-int. will look either like
y = __ (forms horizontal line) or x = __ (forms vertical line).
To find the perpendicular of these lines, turn y to x / x to y.
To find the value of __, look at the point located in the line, so if x = ___
passes through (5,3), then x = 5 because x = 5 in the point. So the
equation would be x = 5.
Use online practice tests and other sources if you don't understand.
B because x is the independent variable; you could choose any number for x
Answer:
The length is 39.6 feet.
Step-by-step explanation:
Since the area is lw, we make this an equation. The width is already known, it's 26.2. So make a single variable equation: 26.2w=1037.52
dividing both sides by 26.2 gives you the answer of 39.6.
Hope this helps!
Answer:
x = -5
y = -1
Step-by-step explanation:
here's the solution :-
- subtracting equation 1 from equation 2 we get,
=》-8x - 4y + 8x - 6y = 44 - 34
=》-10y = 10
=》y = -1
plugging the value of y in equation 2 we get :-
=》-8x - 4y = 44
=》-8x - (4 × -1) = 44
=》-8x + 4 = 44
=》x = 40 ÷ -8
=》x = -5
