Answer:
Angle A = 37 degrees, and Angle B = 53 degrees.
Step-by-step explanation:
We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.
Angle A = 6x + 7
Angle B = 11x-2
Angle C = 90 degrees
A + B + C = 180
Substitute:
6x + 7 + 11x - 2 + 90 = 180
17x + 5 + 90 = 180
17x + 5 = 90
17x = 85
x = 5
Now substitute 5 for x in both acute angles and you will get your answer.
Angle A = 6(5) + 7
Angle A = 30 + 7
Angle A = 37
Angle B = 11(5) - 2
Angle B = 55 - 2
Angle B = 53
Angle A = 37 degrees, and Angle B = 53 degrees.
Hope this helps.
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
1) A(-5,-3); B(-6,-1); C(-3,-1) ; D(-2,-3)
When a refection is done about x-axis, the values of the abscise x remain identical & the value of ordinate just change their signs:
A(-5,-3); A'(-5,+3)
B(-6,-1); B'(-6,+1)
C(-3,-1); C'(-3,+1)
D(-2,-3); D'(-2,+3)
2) A'B'C'D' is translated 3 UNITS RIGHT, that means the ordinated of A'B'C'D'
are the same but the abscises have been increased by 3 UNITS ;
A'(-5,+3) ==>A"(-2,3)
B'(-6,+1) ==>B"(-3,1)
C'(-3,+1) ==>C"(0,1)
D'(-2,+3) ==>D"(1,3)
