Answer:
5 nickles in a quator.
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
Answer:
-1.5
Step-by-step explanation:
Answer:
x = 45°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two <u>straight lines intersect</u>, they form two pairs of angles. The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).
From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
- ∠FEC = x°
- ∠DEG = 20° + 25° = 45°
Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
Solve the following system using elimination:
{2 x - 3 y = -1 | (equation 1)
{y = x - 1 | (equation 2)
Express the system in standard form:
{2 x - 3 y = -1 | (equation 1)
{-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - 3 y = -1 | (equation 1)
{0 x - y/2 = (-3)/2 | (equation 2)
Multiply equation 2 by -2:
{2 x - 3 y = -1 | (equation 1)
{0 x+y = 3 | (equation 2)
Add 3 × (equation 2) to equation 1:
{2 x+0 y = 8 | (equation 1)
{0 x+y = 3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
{0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 4, y = 3
