Answer:
Multiply the first equation by five to yield, 15x + 5y = 45. Add this equation to the second equation from the given,
15x + 5y = 45
+ 3x - 5y = 15
The answer would be 18x = 60. The value of x is 10/3. Therefore, the answer to this item is letter A.
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.
Answer:
60
Step-by-step explanation:
sum the parts of the ratio, 8 + 12 = 20 parts
Divide the total by 20 to find the value of one part of the ratio
100 ÷ 20 = 5 ← value of 1 part of the ratio , thus
8 parts = 8 × 5 = 40 ← number of purple bikes
Both angles will equal 180, as there is a line bisecting line AB to create the two angles.
Set up the following equation to have both angles equal 180:


Combine like terms:



Subtract 12 from both sides:

Divide both sides by 2:

We now know the value of x, so plug it into the equation we set up:


An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.
The obtuse angle is
119 degrees wide.