Answer:
A) X = 2, Y = 2
Step-by-step explanation:
For HL, the hypotenuse of one triangle must be congruent to the hypotenuse of the other, and the leg of one triangle must be congruent to the corresponding leg of the other triangle.
This means that we know x = y, and that 2x+3 = 3y+1.
Substituting x in place of y gives us
2x+3 = 3x+1
Subtract 2x from each side:
2x+3-2x = 3x+1-2x
3 = x+1
Subtract 1 from each side:
3-1 = x+1-1
2 = x
This means that x = 2 and y = 2, since they are equal.
Answer:
the added degree of m1 and m2 equal m4
Answer:
Step-by-step explanation:
A. S=strawberry, C=chocolate
S+C=14 equation 1
2s+3c=30 equation 2
B. -2(s+c)=-2(14) multiply equation 1 by -2 to use elimination method
-2s+-2c=-28 modified Equation 1
2s+ 3c=30. Equation 2
C=2 add above two equations.
solve for s
s+c=14
s+2=14
s=12
Used elimination method since it was easier to add the two equations.
check answer by inputting s,c values in either equation.
2s+3c=30
2(12)+3(2)=30
24+6=30
30=30
Answer:
(x-3,y-4) = correct
Step-by-step explanation:
Answer:
A. 3x+50 ≤ 100; 16 people
Step-by-step explanation:
If x represents the number of people at Berta's party, then the cost of food is 3x. Added to the $50 cost of room rental, the total charge Berta must pay will be ...
3x +50
She wants this to be at most $100, so her inequality is ...
3x +50 ≤ 100
Berta can solve this by subtracting 50, then dividing by 3.
3x ≤ 50
x ≤ 16 2/3
Since x represents a number of <em>people</em>, and it is not possible (or desirable) to have 2/3 of a person show up, the maximum number of people that can attend Berta's party is 16.
