Answer:
x = 3
y = 2
Step-by-step explanation:
When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.
So we can say:
-2x + 6y = 6
and
-7x + 8y = -5
Let's multiply first equation by 7 and 2nd equation by -2, to get:
7 [-2x + 6y = 6] = -14x +42y = 42
and
-2 [-7x + 8y = -5] = 14x - 16y = 10
Now adding these 2 new equations and solving for y:
-14x +42y = 42
14x - 16y = 10
----------------------
26y = 52
y = 52/26
y = 2
Now we put y = 2 into 1st equation (or any other) and solve for x:
-2x + 6y = 6
-2x + 6(2) = 6
-2x + 12 = 6
6 = 2x
x = 6/2
x = 3
9514 1404 393
Answer:
yes, about 2.05 inches
Step-by-step explanation:
The Pythagorean theorem can be used to find the width of the TV.
w^2 +h^2 = d^2
w = √(d^2 -h^2)
w = √(42^2 -18^2) = √1440 = 12√10
w ≈ 37.95 . . . inches
This dimension is less than 40 inches by a margin of ...
40 -37.95 = 2.05 . . . inches
The TV will fit, with 2.05 inches of space remaining.
Since the exponent is negative, you move the decimal (2.0) to the left two spots leaving you with .02
66x is the correct answer
Answer:
#1 x=3 (the furthest to the left on top)
#2 x=4 (below both questions)
#3 x=2 (farthest to the right)
Step-by-step explanation: