From the diagram, 6y = 90 [right angle]
y = 90/6 = 15
Also, 5y + 3x + 6y + 90 = 360 [sum of interior angle of a quadrilateral is 360]
5(15) + 3x + 6(15) + 90 = 360
75 + 3x + 90 + 90 = 360
3x = 360 - 255 = 105
x = 105/3 = 35
Therefore, x + y = 35 + 15 = 50.
The circumference of a circle of given diameter d is pi*d.
Thus, if the diameter is d = 6 cm, the circumference of the circle is (6 cm)*pi.
Answer:
Step-by-step explanation:
Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.
1. In the first part of the trip the amount of gasoline the car used can be expressed as:
2. After the first part of the trip, the remaining was:
3. In the second part of the trip the car used of the remaining. This is:
4. The total amount ot gasoline used in this trip was 20 liters.
5. Then, with this information, you can write the following equation:
6. Finally, you must solve for "x" in order to find its value. This is:
-8y= 7x-19 (add 7x to both sides)
y= 7x/-8 +19/8 (divide -8 from both sides)
Answer:
y + 7 = -5(x - 2)
Explanation:
According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS.
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