Answer:
(x,y): (6 , -3) or (-30/7 , 33/7)
Step-by-step explanation:
6x + 8y = 12
x = y + 9 or y = x+ 9
if x = y+9
6*(y+9) + 8y = 12
14y = -42
y = -3 and x = 6
if y = x+9
6x + 8*(x+9) = 12
14x = -60
x = -30/7 and y = 33/7
Answer:
68 1/3 + 69 1/3 + 70 1/3 = 208
Step-by-step explanation:
Sorry if it can't have a fraction but it should be 68 1/3 + 69 1/3 + 70 1/3 = 208.
Answer:
5
Step-by-step explanation:
0.06 = 6/100 = 3/50
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.
x+100+x=180
x=the base angle measures since they are congruent.
100+x+x=180
Community Property of Addition
100+2x=180.
Added x+x as like terms to = 2x.
100-100+2x=180-100
Subtraction of 100 from both sides to cancel it out and move it.
2x=80
Subtraction operation
2x/2=80/2
Divided by 2 to cancel it out on both sides and move it.
x=40°.
Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.
2(40)+100=80+100=180.
So x=40
