Answer:
3. 
2. 
1. 
Step-by-step explanation:
3. 2x - 5y = −7
- 2x - 2x
__________

2. 5x + 7y = 14
- 5x - 5x
__________

1. 6x + 3y = 12
- 6x - 6x
__________

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<3 +<4= 180
<3+25+52=180 from here <3=180-77=103
using this in first equation: 103+<4=180 <4=180-103=77
as you can see <4=77 which is the the sum of 25+52
Answer:
20.8 inches squared
Step-by-step explanation:
Area of spinner:
45.1 is the area of sectors where the token doesn't move, which 5 sectors doesn't move the token (don't forget that the bonus points doesn't move token). Then
45.1/5=9.02
9.02*12=108.24
K=1/2(r^2)sin150
108.24=1/2(r^2)sin150
216.48=(r^2)1/2
432.96=r^2
r=20.8
Given:
Tangent segment MN = 6
External segment NQ = 4
Secant segment NP =x + 4
To find:
The length of line segment PQ.
Solution:
Property of tangent and secant segment:
If a secant and a tangent intersect outside a circle, then the product of the secant segment and external segment is equal to the product of the tangent segment.



Subtract 16 from both sides.


Divide by 4 on both sides.


The length of line segment PQ is 5 units.
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )