Answer:
x=9 and y=115
Step-by-step explanation:
Solve y=9x+34;y=16x−29
Steps:
I will solve your system by substitution.
y=9x+34;y=16x−29
Step: Solvey=9x+34for y:
Step: Substitute9x+34foryiny=16x−29:
y=16x−29
9x+34=16x−29
9x+34+−16x=16x−29+−16x(Add -16x to both sides)
−7x+34=−29
−7x+34+−34=−29+−34(Add -34 to both sides)
−7x=−63
−7x
−7
=
−63
−7
(Divide both sides by -7)
x=9
Step: Substitute9forxiny=9x+34:
y=9x+34
y=(9)(9)+34
y=115(Simplify both sides of the equation)
Hope this helps :)
Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
Answer:
Roger
Step-by-step explanation:
Since he is attending more shows, he will benefit. He will save a net amount of $40
if she bought the shirts you have to double 3:50 which equals $7 so double 7 it is 14. So Dave spend half that amount which would be 3:50
Answer:
When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.
Step-by-step explanation:
To evaluate f(g(-6)), first find g(-6).
g(n) = n² + 2n
Substitute value.
g(-6) = (-6)² + 2(-6)
Square -6. Remember that (-x)² = x²
g(-6) = 36 + 2(-6)
Multiply 2 and -6.
g(-6) = 36 - 12
Subtract 12 from 36.
g(-6) = 24.
Now knowing this, substitute that value into f(n).
f(g(-6)) = f(24)
f(n) = 4n
Substitute value.
f(24) = 4(24)
Multiply 4 and 24.
f(24) = 96.
