One method to see it's a trapezoid is to find the slope of lines BC and AD.
The slope formula is
m = (y2-y1)/(x2-x1)
You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.
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To prove this trapezoid is isosceles, you can use the distance formula
to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.
Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.
Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
Answer:
x=7(y-5)/3 +7
Step-by-step explanation:
y-5=3(x-7)/7
(y-5)×7=3(x-7)
7(x-7)=3(x-7)
7(y-5)/3=x-7
7(y-5)/3+7=x
Answer:
104.65 km/hour
Step-by-step explanation:
We need to convert miles to kilometers. The miles cancel so
65 miles 1.61 kilometers 104.65km
--------------- * ------------------- = -----------------
hour 1 mile hour
The speed limit is 104.65 km/hour
ANSWERx = 5/4
EXPLANATION Note that
so
Note that on the left-hand side, we can use exponent properties for multiplying two powers of the same base together:
We can now equate the exponents because both sides of the equation are of the same base with no other terms.
The answer is x = 5/4. We can confirm this by using this value in the original equation to get a true statement.