Answer:
x = -3
y = -11
Step-by-step explanation:
You want to substitute one of the y's
3x - 2 = 2x - 5
+2 +2
3x = 2x - 3
-2x -2x
x = -3
now that you have x, you need to substitute the x to get y
y = 3x - 2
y = 3(-3) - 2
y = -9 - 2
y = -11
or
y=2x-5
y = 2(-3) - 5
y = -6 - 5
y = -11
*they will both be the same no matter which equation you use
Hope this helped!
The answer will be B; this is because the cost of each notebook is equivalent to 1.6, or is less than or equal to $56 as we are currently unsure of the value of n (number of notebooks) which means it may cost exactly $56 or less than that as she only has $56 to buy the notebooks to donate to her school
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABD and BEC. In these tirangles:
- Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;
- Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.
So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus