Here are the steps, hope it helps!
Answer:
-0.5
Step-by-step explanation:
Use the simultaneous equations method:
x - 4y = 6
3x + 4y = 10
Add these two equations together to cancel out 'y':
4x = 16
Divide both sides by 4:
x = 4
substitute this value into one of the equations:
(4) - 4y = 6
Subtract 4 from both sides:
- 4y = 2
Divide both sides by -4:
y = -0.5
goodluck!
Answer:
D: 12
Step-by-step explanation:
The entire segment KI is composed of the segments KJ and JI. So:
We know that KI is 15.
KJ is (2x-15) and JI is (2x-6). Substitute:
Solve for x. Combine like terms:
Add 21 to both sides:
Hence, the value of x is:
We know that JI is 2x-6.
We will substitute 9 for x to find JI. So:
Hence, our answer is D.
Answer:
<u>x = 8 and y = 5</u>
Step-by-step explanation:
The question is as following:
what is x and y for the following system of equations:
50x + 30 y = 550 ⇒ (1)
44x + 36 y = 532 ⇒ (2)
Subtract (1) - (2)
∴ 6x - 6y = 18
Divide both sides by 6
∴ x - y = 3
∴ x = 3 + y ⇒ (3)
Substitute with the value of x at (1)
50(3+y) + 30y = 550
Solve for y
150 + 50y + 30y = 550
80y = 550 - 150 = 400
∴ y = 400/80 = 5
Substitute with the value of y at (3)
∴ x = 3 + y = 3 + 5 = 8
<u>So, x = 8 and y = 5</u>
As stated by the statement, isometric means same measure. So, when a rigid transformation occurs all the measures of the original figure (which will be transformed) will be the same of the new figure (the result of the transformation).
That means that you can verify that the transformation used was rigid by checking the measures of both (original and transformed) figures: if and only if the meausures of the final figure are the same of the original figure the transformation was rigid.
